i have a math problem im confused on don't mind the pencil​

I Have A Math Problem Im Confused On Don't Mind The Pencil

Answers

Answer 1

Answer:   261.5 in²

Step-by-step explanation:

Separate the image into three shapes:

Top (Trapezoid)Middle (Rectangle)Bottom (Rectangle)

Top (Trapezoid):

[tex]A=\dfrac{b_1+b_2}{2}\cdot h\\\\\\.\ =\dfrac{9+(4+6+4)}{2}\cdot 5\\\\\\.\ =\dfrac{23}{2}\cdot 5\\\\\\.\ =\dfrac{115}{2}\\\\\\.\ =\boxed{57.5}[/tex]

Middle (Rectangle):

[tex]A=L\times w\\.\ =6\times 10\\.\ =\boxed{60}[/tex]

Bottom (Rectangle):

[tex]A=L\times w\\.\ =18\times 8\\.\ =\boxed{144}[/tex]

[tex]Area_{\ image}=Area_{\ Top}+Area_{\ Middle}+Area_{\ Bottom}\\.\qquad\qquad=57.5+60+144\\.\qquad\qquad=\large{261.5}[/tex]


Related Questions

You can jog around your block twice and the park once in 10 minutes. You can jog around your block twice and the park 3 times in 22 minutes.

a. Write a system of linear equations that represents this situation.

Let x represent the number of minutes it takes you to jog around your block and y represent the number of minutes it takes you to jog around the park.

What is the system of equations?

Answers

2x + y = 10
2x + 3y = 22

Please consider marking this answer as Brainliest to help me advance, and let me know if you need any clarifications.

After a party, there are 3 3/4pizzas left over. If they need to be split among 6 people, how much pizza will each person take home?

Answers

Answer:

5/8 of a pizza

Step-by-step explanation:

Which of the following best describes the solution to the system of equations below?
3x + 5y = 9
3x + 5y = 15

Answers

Answer: Option D

Step-by-step explanation:

The equation of the line in slope intercept form is:

[tex]y=mx+b[/tex]

Where m is the slope and b the y-intercept.

Solve for y from both equations:

[tex]5y=-3x+9\\y=\frac{-3}{5}x+\frac{9}{5}[/tex]

[tex]5y=-3x+15\\y=\frac{-3}{5}x+3[/tex]

As you can see, the slopes of the lines are equal, therefore, they are parallel.

If the lines are parallel then the system of equtions has no solution.

Answer:

Choice D  is correct answer.

Step-by-step explanation:

We have given a system of equations.

3x + 5y = 9                             eq(1)

3x + 5y = 15                          eq(2)

We have to find the description of the solution of equations.

y = mx+c is the slope-intercept of equation of line where m is slope and c is y-intercept.

Eq(1) can be written as:

y = -3/5x + 3 where slope is -3/5.

Eq(2) can be written as:

y = -3/5x+5 where slope is -3/5.

Equations with equal slopes are of parallel lines and parallel lines have no solution.Hence, system has no solutions.

Choice D  is correct answer.

Help!! Please please answer quickly and in the next 9 hours!

Solve these questions.

Answers

Answer:

Please refer to step-by-step.

Step-by-step explanation:

Let's solve all of these one at a time.

15. -2x - y = -5

To find the x-intercept, we need to equate the value of y to 0.

-2x - 0 = -5

[tex]\dfrac{-2x}{-2}=\dfrac{-5}{-2}[/tex]

[tex]x=2.5[/tex]

To find the y-intercept, we need to equate the value of x to 0.

-2(0) - y = -5

Now since we cannot have a negative value, we need to divide both sides by -1.

[tex]\dfrac{-y}{-1}=\dfrac{-5}{-1}[/tex]

[tex]y=5[/tex]

To find the slope form, we can simply transpose the value of -2x to the other sides of the equal sign.

-y = 2x - 5

Now we cannot have a negative value for the slope, we need to divide both sides by -1, leaving us with.

y = -2x + 5

16. 6x + 3y = -9

Let's start with the x-intercept.

6x + 3y = -9

6x + 3(0) = -9

[tex]\dfrac{6x}{6}=\dfrac{-9}{6}[/tex]

[tex]x=1.5[/tex]

Now we solve for the y-intercept.

6x + 3y = -9

6(0) + 3y = -9

[tex]\dfrac{3y}{3}=\dfrac{-9}{3}[/tex]

[tex]y = -3[/tex]

Now for the slope.

3y = -6x - 9

Now we need to divide all our variables by 3 to get y.

[tex]\dfrac{3y}{3}=\dfrac{-6x}{3}-\dfrac{9}{3}[/tex]

[tex]y=-2x-3[/tex]

17. x - y = 4

Let's start with the x-intercept.

x - y = 4

x - 0 = 4

[tex]x=4[/tex]

Now we solve for the y-intercept.

x - y = 4

0 - y = 4

-y=4

[tex]\dfrac{-y}{-1}=\dfrac{4}{-1}[/tex]

[tex]y = -4[/tex]

Now for the slope.

x - y = 4

-y = -x + 4

We need to divide all our variables by -1 to get y.

[tex]\dfrac{-y}{-1}=\dfrac{-x}{-1}+\dfrac{4}{-1}[/tex]

[tex]y=x-4[/tex]

18. 3x + 4y = 12

Let's start with the x-intercept.

3x + 4y = 12

3x + 4(0) = 12

[tex]\dfrac{3x}{3}=\dfrac{12}{3}[/tex]

[tex]x=4[/tex]

Now we solve for the y-intercept.

3x + 4y = 12

3(0) + 4y = 12

[tex]\dfrac{4y}{4}=\dfrac{12}{4}[/tex]

[tex]y = 3[/tex]

Now for the slope.

3x + 4y = 12

4y = -3x + 12

[tex]\dfrac{4y}{4}=-\dfrac{3x}{4}+\dfrac{12}{4}[/tex]

[tex]y=-\dfrac{3x}{4}+3[/tex]

19. -7x + 2y = -16

Let's start with the x-intercept.

-7x + 2y = -16

-7x + 2(0) = -16

[tex]\dfrac{-7x}{-7}=\dfrac{-16}{-7}[/tex]

[tex]x=-2\dfrac{2}{7}[/tex]

Now we solve for the y-intercept.

-7x + 2y = -16

-7(0) + 2y = -16

[tex]\dfrac{2y}{2}=\dfrac{-16}{2}[/tex]

[tex]y=-8[/tex]

Now for the slope.

-7x + 2y = -16

2y = -7x - 16

[tex]\dfrac{2y}{2}=-\dfrac{7x}{2}-\dfrac{16}{2}[/tex]

[tex]y=-\dfrac{7x}{2}-8[/tex]

20. x - 5y = 55

Let's start with the x-intercept.

x - 5y = 55

x - 5(0) = 55

x = 55

Now we solve for the y-intercept.

x - 5y = 55

0 - 5y = 55

[tex]\dfrac{-5y}{-5}=\dfrac{55}{-5}[/tex]

[tex]y=-11[/tex]

Now for the slope.

x - 5y = 55

-5y = x + 55

[tex]\dfrac{-5y}{-5}=-\dfrac{x}{-5}+\dfrac{55}{-5}[/tex]

[tex]y=-\dfrac{x}{5}-11[/tex]

simplify -5x^4(-3x^2+4x-2)​

Answers

Answer:

The correct answer is 15x⁶ - 20x⁵ + 10x⁴

Step-by-step explanation:

The given expression is  -5x⁴ (-3x² + 4x - 2)​

Points to remember:

xᵃ * x ᵇ = xᵃ⁺ᵇ

To find the simplified expression

-5x⁴ (-3x² + 4x - 2)​ = (-5x⁴ * -3x²)  + (-5x⁴  *  4x ) - (-5x⁴  * 2)​

 = 15x⁴ ⁺² - 20x⁴ ⁺ ¹ + 10x⁴

 = 15x⁶ - 20x⁵ + 10x⁴

Therefore -5x⁴ (-3x² + 4x - 2)​ = 15x⁶ - 20x⁵ + 10x⁴

Answer:

15x⁶-20x⁵+10x⁴ is the simplification of this expression.

Step-by-step explanation:

We have given the expression:

-5x⁴(-3x²+4x-2)​

We have to simplify this expression.

-5x⁴(-3x²+4x-2)​

-5x⁴(-3x²)+(-5x⁴)(4x)+(-5x⁴)(-2)

15x⁴⁺²-20x⁴⁺¹+10x⁴

15x⁶-20x⁵+10x⁴

15x⁶-20x⁵+10x⁴ is the answer.

Find the slope of a line perpendicular to y = 3x + 7

Answers

Answer:

-1/3

Step-by-step explanation:

The slope of the line has the form y = mx + b where m is the slope. Here the slope is m = 3. A line perpendicular to it will have a negative reciprocal slope. The negative reciprocal of 3 is -1/3.

which of the following is a disadvantage to purchasing points​

Answers

Answer:closing cost increase and savings are gained after the break-even point

Step-by-step explanation:

The disadvantage to purchasing points is closing costs are an increased option (B) is correct.

What is a closing cost?

Fees paid at the conclusion of a real estate transaction are known as closing costs.

The complete question is:

Which of the following is a disadvantage to purchasing points

A.they lower monthly paymentsB.closing costs are increasedC.An immediate tax break is receivedD.the interest rate is lowered for the life of the loan

As we know, the payments paid directly to the lender during closing in exchange for a lower interest rate are referred to as mortgage points or discount points.

By doing this, the buyer lowers the rate, which lowers his monthly mortgage payments.

Thus, the disadvantage to purchasing points is closing costs are an increased option (B) is correct.

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which expression is equivalent to 24x + 12?

Answers

You can factor 12 from both terms to get

[tex]24x+12 = 12(2x+1)[/tex]

Find the coordinates of the vertices of the figure after the given transformation. translation: (x, y)→(x - 4, y + 4) A) J'(1, 0), N'(5, 0), M'(5, 3), P'(2, 5) B) J'(-2, 5), N'(2, 5), M'(2, 2), P'(-1, 0) C) J'(-3, 4), N'(1, 4), M'(1, 1), P'(-2, -1) D) J'(-1, 0), N'(-5, 0), M'(-5, -3), P'(-2, -5)

Answers

Answer:

C) J' (-3, 4), N' (1, 4), M' (1, 1), P' (-2,-1)

Step-by-step explanation:

The rule (x, y)→(x - 4, y + 4), means to translate the figure four points to the left and four points up. If we apply this rule to each vertex of the figure, the resulting coordinates are J' (-3, 4), N' (1, 4), M' (1, 1), P' (-2,-1).

Gabe charges $30 to mow a lawn. Nate
charges $25 to mow a lawn. Their total
combined revenue one summer was $2020.
Nate mowed 6 more lawns than Gabe.
Write a system of equations to represent
this situation. Then solve the system of
equations by substitution. Explain what the
solution means.

Answers

g mowed 5 lawns and earned $150

Nate mowed 40 lawns and Gabe mowed 34 lawns for the equal earn of money. The value of x is 34.

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1. It is a combination of infinite points side by side.

Given

Gabe charges $30 to mow a lawn.

Nate charges $25 to mow a lawn.

Their total combined revenue one summer was $2020.

Nate mowed 6 more lawns than Gabe.

Let the number of lawns mowed by Gabe be [tex]\rm x[/tex].

Then the number of lawns mowed by Nate be [tex]\rm x + 6[/tex].

Then the equation will be

[tex]\rm 30x + 25(x+ 6) = 2020[/tex]

On simplifying, we have

[tex]\begin{aligned} \rm 30x + 25x + 150 &= 2020\\\\\rm 55x &= 1870\\\\\rm x &= 34\end{aligned}[/tex]

Thus, Nate mowed 40 lawns and Gabe mowed 34 lawns for the equal earn of money. The value of x is 34.

More about the linear system link is given below.

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What is the surface area of the cylinder?

Answers

answer is

= 1.312.53 ft²

What are the coordinates of the midpoint of the segment whose endpoint are P(-6, 3) and Q(9, -11)

A. (-3, -2)
B. (-1.5, -1)
C. (1.5, -4)
D. (3, -8)

Answers

Answer:

[tex]\large\boxed{C.\ (1.5,\ -4)}[/tex]

Step-by-step explanation:

The formula of a midpoint of a segment AB with endpoints at A(x₁, y₁) and B(x₂, y₂):

[tex]M_{AB}\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)[/tex]

We have the points P(-6, 3) and Q(9, -11).

Substitute:

[tex]M_{PQ}(x,\ y)\\\\x=\dfrac{-6+9}{2}=\dfrac{3}{2}=1.5\\\\y=\dfrac{3+(-11)}{2}=\dfrac{-8}{2}=-4[/tex]

Answer:

(-1.5, -1)

Step-by-step explanation:

Which statement is false?
A. No integers are irrational numbers.
B. All whole numbers are integers.
C. No real numbers are rational numbers.
D. All integers greater than or equal to 0 are whole numbers.

Answers

Irrational numbers just means that it isn’t rational so this means that A is true. If you look up a chart with irrational,rational,real, and integer it will show that all whole numbers are integers so this means B is true. C is false. Same thing about B proves that D is true. SHORT ANSWER: C is false. I hope this helps.

In  the given statement D is false.

What is Rational number ?

In mathematics, a rational number is any number that can be written as a fraction, in which the numerator (the top number) and the denominator (the bottom number) are both integers, and in which the numerator is not equal to zero. In other words which can be written in p/q form.

It is rational to consider integers as rational numbers, not as irrational, because all integers, whether positive or negative, or zero can be written as p/q, for example, 2, 3 and 5 are rational because they can be written as 2/1, 3/1 and 5/1 respectively.

Due to the fact that the rational numbers as well as the irrational numbers can be added together, we can derive real numbers. This means that all real numbers are not rational numbers, since they contain irrational numbers as well.

Hence, the given statement D is false.

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Twelve divided by the sum of x and 2 equals the quotient of 4 and the difference of x and 2. Find x.

Answers

Twelve divided by the sum of x and 2 equals the quotient of 4 and the difference of x and 2 , the value of x is 4

Given

Twelve divided by the sum of x and 2 equals the quotient of 4 and the difference of x and 2

we need to write the given expression in equation

Twelve divided by the sum of x and 2 is written as  [tex]\frac{12}{x+2}[/tex]

quotient of 4 and difference of x  and 2 can be written as

[tex]\frac{4}{x-2}[/tex]

Now make them equal and solve for x

[tex]\frac{12}{x+2} =\frac{4}{x-2} \\12\left(x-2\right)=\left(x+2\right)\cdot \:4\\12x-24=4x+8\\12x=4x+32\\8x=32\\x=4[/tex]

So the value of x is 4

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Final answer:

To solve the given equation 12 / (x + 2) = 4 / (x - 2), we cross multiply, simplify and solve for x, the solution is x=4.

Explanation:

The equation given in this problem translates to the following algebraic equation: 12 / (x + 2) = 4 / (x - 2)

To solve for x, we first cross multiply to remove fractions: 12 * (x - 2) = 4 * (x + 2) which simplifies to 12x - 24 = 4x + 8

Then, subtract 4x from both sides: 8x - 24 = 8 and finally add 24 to both sides: 8x = 32. Therefore, solving for x by dividing both sides with 8, we get x = 4.

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What percent of the students are part-time students?

Answers

Answer:

The % is 33.3%

Step-by-step explanation:

Due to:

If 600 is the 100%, then 200 what  % is?

600 ---> 100%

200 ---> %?

% = [(200)*(100)]/[600]

% = 33.3%

Best regards

Why is this wrong in Sudoku? I know I can’t put any of the same number in the same row, column, or box with numbers 1-9. But this 3 in red is not breaking those rules. I’m new to sudoku so please help!

Answers

If you put the red 3 where it is, you would be forced to put another 3 on the top-left corner of the central-left square. This would violate the first column.

This implies that the 3 in the central square must be in the top-central place.

Which diagram shows ∠1 and ∠2 as vertical angles? A) B) C) D)

Answers

Answer:the answer is c

Step-by-step explanation:

this question was on usatestprep and i got it wrong with the answer b that was given.

The correct diagram that shows ∠1 and ∠2 as vertical angles is Option C.

What is vertical angles?

Vertical angles are formed when two lines intersect. They are opposite angles and have equal measures.

If we consider the diagram given, option C shows two intersecting line, ∠1 and ∠2 are opposite angles formed by the intersecting lines, so they are vertical angles.

∠1 = ∠2 (because they are vertically opposite angles)

Thus, the correct diagram that shows ∠1 and ∠2 as vertical angles is option C.

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The missing diagram is in the image attached

need help with this math problem​

Answers

Answer:

x = 6

Step-by-step explanation:

Complementary angles = angles that add up to 90 degrees.

Therefore 8x - 30 + 5x + 42 = 90

13x + 12 = 90

Subtract 12 from both sides and then divide each side by 13.

x = 6

John wants to deposit $1000 as a principle amount, with an interest of 4% compounded quarterly. Cayden wants to deposit $1000 as the principle amount, with an interest of 3% compounded monthly. Explain which method results in more money after 5 years. Show all work.

Answers

Answer:

John = $1220.19

Cayden = 1161.62

Step-by-step explanation:

To find how much they'll both get, we can use the formula:

[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]

First let's start with John.

P = 1000

r = 4% or 0.04

t = 5

n = 4 (Quarterly)

[tex]A=1000(1+\dfrac{0.04}{4})^{4(5)}[/tex]

[tex]A=1000(1+0.01)^{20}[/tex]

[tex]A=1000(1.01)^{20}[/tex]

[tex]A=1220.19[/tex]

Now let's compute for Cayden's.

P = 1000

r = 3% or 0.03

t = 5

n = 12 (Monthly)

[tex]A=1000(1+\dfrac{0.03}{12})^{12(5)}[/tex]

[tex]A=1000(1+0.0025)^{60}[/tex]

[tex]A=1000(1.00.25)^{60}[/tex]

[tex]A=1161.62[/tex]

The monthly compounding gets more yield compared to the quarterly compounding due to the number of times the amount of times it increases per year.

a school club needs 350 feet of rope for a project. they have the amounts of rope listed below.
4 pieces of rope that are each 14 yards in length
1 piece of rope that is 10.5 yards in length
1 piece of rope that is 101.25 feet in length. how much additional rope , in feet, does the school club need in order to have enough rope for their project?

Answers

Answer:

They need 57.5 more feet of rope

Step-by-step explanation:

Add all the lengths of rope together in feet ( so convert the yards to feet; 1 yd=   3 ft) and then subtract that number from 350!

Hope this helped! <3  

I think this is correct

Answer:

The school club needs additional 49.25 feet of rope.

Step-by-step explanation:

Total length of rope needed = 350 feet

Available lengths are :

4 pieces of rope that are each 14 yards in length. Total length = [tex]4\times14=56[/tex] yards

1 piece of rope that is 10.5 yards in length.

Total yards = [tex]56+10.5=66.5[/tex] yards

Now converting yards to feet as the final answer will be in feet.

1 yard = 3 feet

So, 66.5 yards = [tex]3\times66.5=199.5[/tex] feet

1 piece of rope that is 101.25 feet in length.

Total rope in feet = [tex]199.5+101.25=300.75[/tex] feet

As 350 feet of rope is needed, the club needs more rope of 350-[tex]300.75=49.25[/tex] feet

Therefore, the school club needs additional 49.25 feet of rope.

Which of the following pairs of lines are perpendicular? Select all that apply.

A. y=2/3x+4 and y=2/3x-8
B. y=2/3x-8 and y=-3/2x-8
C. y=x+2 and y=-x+3
D. y=3x+2 and y=3x-2
E. y=3 and y=4
F. y=4/5x-8 and y=-5/4x+3

Answers

B, C, & F The slopes are opposite reciprocals of one another

Final answer:

Pairs B (y=2/3x-8 and y=-3/2x-8) and F (y=4/5x-8 and y=-5/4x+3) are the only ones with perpendicular lines, as their slopes multiply out to -1.

Explanation:

Lines are perpendicular if the product of their slopes is -1. The slopes (m) are derived from lines in the format y=mx+b.

A. y=2/3x+4 and y=2/3x-8 are not perpendicular; they have the same slope, meaning they're parallel.B. y=2/3x-8 and y=-3/2x-8 are perpendicular; the product of their slopes (2/3 * -3/2) equals -1.C. y=x+2 and y=-x+3 are perpendicular; the slopes are 1 and -1, and their product is -1.D. y=3x+2 and y=3x-2 are not perpendicular; like A, they are parallel.E. y=3 and y=4 are not lines with slopes but horizontal lines, hence not perpendicular.F. y=4/5x-8 and y=-5/4x+3 are also perpendicular; their slopes multiply to -1 (4/5 * -5/4).

Thus, the pairs B and F are the only ones that are perpendicular to each other.

Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation h = -8t 2 + 40t, where h represents the height of the ball above the ground and t represents the time in seconds. The maximum value achieved by the function is represented by the vertex. Use factoring to answer the following:

How many seconds does it take the ball to reach its highest point?

What ordered pair represents the highest point that the ball reaches as it travels through the air?

Hint: because parabolas are symmetric, the vertex of a parabola is halfway between the zeroes of the quadratic.

Answers

Answer:

Time to highest point: 5/2, or 2.5 seconds

Ordered pair: (5/2, 50)

Step-by-step explanation:

Find the vertex of h(t). This will be the highest point of the ball

Find the x coordinate of the vertex with the formula: x = -b/(2a)

x = -40/[2(-8)] = -40/-16 = 5/2

to find the y value, plug 5/2 into the equation and solve

h(5/2) = -8(5/2)² + 40(5/2)

   h(5/2) = -8(25/4) + 200/2

          h(5/2) = -200/4 + 100

             h(5/2) = 50

So the ball reached a maximum height of 50 feet

Final answer:

It takes 2.5 seconds for the ball to reach its highest point. The ordered pair representing the highest point is (2.5, 50), where the ball reaches a height of 50 meters.

Explanation:

The equation h = -8t^2 + 40t describes the height of a ball thrown into the air over time, where h is the height above the ground and t is time in seconds. To find how many seconds it takes for the ball to reach the highest point, we find the time at which the vertex of the parabola occurs since the vertex represents the maximum height.

We know that the ball will reach its highest point halfway between the times when it is at ground level (i.e., when h = 0). Factoring the quadratic equation 0 = -8t^2 + 40t gives us:

0 = t(-8t + 40)

0 = t(0, -8t + 40)

Setting each factor equal to zero gives us two values of t:

t = 0 s (when the ball is first thrown)

-8t + 40 = 0 => t = 5 s (when the ball hits the ground again)

Thus, the time to reach the highest point is halfway between 0 s and 5 s, which is 2.5 seconds.

The ordered pair representing the highest point is found by substituting t = 2.5 s into the original equation:

H = -8(2.5)^2 + 40(2.5)

H = -50 + 100

H = 50 meters.

Therefore, the ordered pair representing the highest point the ball reaches is (2.5, 50).

Plz Help me 50 points to who ever answers firstt

Answers

Answer:

[tex]\boxed{\bold{57 \ Ft.}}[/tex]

Step-by-step explanation:

Assignment: Find area of rectangle without triangle

Area of whole rectangle including triangle: 66 Feet

(6 * 11 = 66)

Area of Triangle: [tex]\bold{\frac{1}{2}Base \ \cdot \ Height }[/tex]

Height: 3

Base: 6 (Solved by using this: (11 - 2 + 3))

Half of base: 3

3 * 3 = 9

66 - 9 = 57

What is the answer to 7/5 = 10.5/b

Answers

Answer: b=14.7

Step-by-step explanation:

Answer: b=7.5

Step 1: Cross-multiply.

7/5 = 10.5/b

7*b=(10.5)*(5)

7b=52.5

Step 2: Divide both sides by 7.

7b/7 = 52.5/7

Therefore:

b=7.5

Please give me a brainlist :)

Which method is the most efficient method to use to solve x^2+6x-7=0?

A) Using the quadratic formula

B) Factoring

C) Isolating the x^2 term and finding the square root of both sides

D) All three methods would be efficient

Answers

Answer:

A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

In my opinion factoring is the better approach here

Given

x² + 6x - 7 = 0 ← in standard form

Consider the factors of the constant term (- 7) which sum to give the coefficient of the x- term (+ 6)

The factors are + 7 and - 1, since

7 × - 1 = - 7 and + 7 - 1 = 6, hence

(x + 7)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 1 = 0 ⇒ x = 1

Please help and thank you

Answers

Answer:

[tex]b_{1}=\frac{2A}{h}-b_{2}[/tex]

Step-by-step explanation:

Given: [tex]A=\frac{1}{2}(b_{1} +b_{2})h[/tex]

We need to completely isolate [tex]b_{1}[/tex] to solve.

[tex]A=\frac{1}{2}(b_{1} +b_{2})h[/tex]

[tex]A=(\frac{1}{2}b_{1} +\frac{1}{2} b_{2})h[/tex]

[tex]A=\frac{1}{2}b_{1} h+\frac{1}{2}b_{2}h[/tex]

[tex]-\frac{1}{2}b_{1}h+A=\frac{1}{2}b_{2}h[/tex]

[tex]-\frac{1}{2}b_{1}h=-A+\frac{1}{2}b_{2}h[/tex]

[tex]-\frac{1}{2}b_{1}=\frac{-A}{h}+\frac{1}{2}b_{2}[/tex]

Finally, multiply both sides by -2 to completely isolate [tex]b_{1}[/tex].

[tex]b_{1}=\frac{2A}{h}-b_{2}[/tex]

Answer:

The right option is D

Step-by-step explanation:

See the image

please help me my queston is the photo

Answers

10.54cm2

This is the sense

Answer:

the answer is 10.54 cm2

Step-by-step explanation:


LetterD: is 120 minutes

Answers

Since p = 60 we can plug 60 into the equation.

so instead of (p / 20) x 4 it's (60 / 20) x  4 which equals 12 minutes.

Hope this helped!

What is the slope of the line described by the equation 6X + 4y= 8

Answers

Answer:

[tex]\large\boxed{\text{The slope}\ m=-\dfrac{3}{2}}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the equation of a line in the standard form:

[tex]6x+4y=8[/tex]

Convert to the slope-intercept form:

[tex]6x+4y=8[/tex]          subtract 6x from both sides

[tex]4y=-6x+8[/tex]           divide both sides by 4

[tex]y=-\dfrac{6}{4}x+\dfrac{8}{4}[/tex]

[tex]y=-\dfrac{3}{2}x+2[/tex]

I how do we simplify-3(4x - 5y + 6) + 8x - 9

Answers

Step-by-step explanation:

By using the distributive formula, you can solve this:

-a(b - c + d) = -ab + ac - ad

-3(4x - 5y + 6) + 8x - 9

Use distributive property:

-12x + 15y - 18 + 8x - 9

Add/Subtract by the common terms:

-12x + 8x = -4x

-18 - 9 = - 27

Plug it back into an equation:

= -4x + 15y - 27

That is your answer!!

Hope that helped

~A̷l̷i̷s̷h̷e̷a̷♡

Answer:

-4x + 15y - 27

Step-by-step explanation:

-3 (4x -5y + 6) = -3*4x, -3* -5y and -3*6

-3*4x= -12x

-3*-5y= 15y

-3*6= -18

-12x + 15y -18 +8x - 9

Combine like terms (-12x + 8x) and (-18 - 9)

12-8 = 4 and 18+9 = 27 now flip the signs, add the variables back on (the letters) and carry down what was remaining (15y)

-4x + 15y -27

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