Answer:
See below.
Step-by-step explanation:
There is no statement given so we can only guess. There is a way of finding out.
Slope ZY = - 1/2
Slope XY = 2
Those two slopes (when multiplied) will equal - 1 (2 * -(1/2) = - 1). That is the definition of two lines meeting at right angles or one line being perpendicular to another.
Answer:
The slopes of XY and ZY are opposite reciprocals.
Step-by-step explanation: Hope this helps
what is the area of the piece of red paper after the hole for the photograph has been cut
Answer:
47 squared units.
Step-by-step explanation:
If triangle ABC is similar WXY write a proportionality statement for the ratio of the sides of the triangle
There are many ways to answer this. Here is one answer shown below
AB/WX = BC/XY
On the left side is the ratio of AB over WX. These two sides are the bottom horizontal portions of the triangles. This is a visual indication that they correspond to one another. More concrete proof of this is that AB and WX are the first two letters of the sequences ABC and WXY respectively. The order is very important to help establish pairs like this.
On the right side of that equation above, we have BC and XY as the diagonal sides on the right part of each triangle. They are the last two letters of ABC and WXY respectively, which is a non-visual way to prove these two sides correspond.
It might help to line up ABC over top WXY so you can pick out the corresponding sides. I show this in the attached image below.
Answer: There are many ways to answer this.
Step-by-step explanation:
On the left side is the ratio of AB over WX. These two sides are the bottom horizontal portions of the triangles. This is a visual indication that they correspond to one another. More concrete proof of this is that AB and WX are the first two letters of the sequences ABC and WXY respectively. The order is very important to help establish pairs like this.
On the right side of that equation above, we have BC and XY as the diagonal sides on the right part of each triangle. They are the last two letters of ABC and WXY respectively, which is a non-visual way to prove these two sides correspond.
One grain of sand approximately weighs 7 * 10^{-5} g. How many grains of sand are there in 6300 kg of sand? Give your answer in standard form.
Answer:
Proportion states that the two ratio or fractions are equal.
Given the statement: One grain of sand approximately weighs 7 * 10^{-5} g.
To find how many grains of sand are there in 6300 kg of sand.
Let x be the number of grains of sand in 6300 kg of sand.
Using conversion :
1 kg = 1000 g
6300 kg = 6300000 g
Then, by using proportion method, we have;
[tex]\frac{1}{7\times 10^{-5}}= \frac{x}{6300000}[/tex]
[tex]\frac{10^5}{7} = \frac{x}{6300000}[/tex]
By cross multiply we get;
[tex]6300000 \times 10^5 = 7x[/tex]
or
[tex]63 \times 10^5 \times 10^5 = 7x[/tex]
[tex]63 \times 10^{5+5} = 7x[/tex] [using [tex]x^a \cdot x^b = x^{a+b}[/tex]]
[tex]63 \times 10^{10} = 7x[/tex]
Divide both sides by 7 we get;
[tex]x = \frac{63 \times 10^{10}}{7} = 9 \times 10^{10}[/tex]
Standard form is a way of of writing down very large or very small numbers easily.
Therefore, [tex]9 \times 10^{10}[/tex] grains of sand are there in 6300 kg of sand.
Can some please help and how to do it with the work shown.
What shape is a four-sided polygon with 4 right angles and at least 2 equal sides?
1. rectangle
2. diamond
3. square
4. triangle
wich one is correct?
Answer:
the answer is rectangle
Step-by-step explanation:
Twenty-five subtracted from one-half a number is 10.What is the number?
Final answer:
The number in question is 70, found by solving the equation 1/2 * x - 25 = 10.
Explanation:
To find a number where half of that number, subtracted by 25, equals 10. We can set up an equation to represent this: 1/2 * x - 25 = 10, where 'x' is the number we are trying to find. To solve for 'x', we first add 25 to both sides of the equation, which gives us 1/2 * x = 35. Then, to isolate 'x', we multiply both sides by 2, resulting in x = 70. Therefore, the number is 70.
Final answer:
To find the number, isolate the variable by performing inverse operations. The number is 70.
Explanation:
To find the number, we need to translate the given information into an equation. Let's assume the number is x. The equation can be written as:
1/2x - 25 = 10.
To isolate the variable x, we first add 25 to both sides of the equation:
1/2x - 25 + 25 = 10 + 25.
This simplifies to 1/2x = 35.
Next, we multiply both sides of the equation by 2 to undo the division by
1/2: 2 × (1/2x) = 2 × 35.
The 1/2 cancels out on the left side, leaving us with x = 70.
Therefore, the number is 70.
Complete the table to show how many yellow pencils there are if there are 5,7,9,11, or 13 blue pencils. How many of each type of pencil does shawna have if she has 55 pencils?
If there are 4 yellow pencils for each blue one, then this is the answer. If not then comment and tell me.
Blue Yellow
5 20
7 28
9 36
11 44
13 52
The required number of yellow and blue pencils are 44 and 11 respectively.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
As Shawan has 4 yellow pencils for every blue pencil,
Let the number of blue pencils be b,
Now,
Yellow pencil (y) = 4 × b
Now,
put b = 5,7,9,11, or 13
So y = 20, 28, 36, 44, or 52
Now,
b + y = 55
when b = 11 and y = 44 sums of the pencil would be 55.
Thus, the required number of yellow and blue pencils are 44 and 11 respectively.
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Will award brainiest to whoever answers and helps, I really need this ;;
Mathematics of personal finance:
Assume that the probability of a driver getting into an accident is 7.1%, the average cost of an accident is $14,886.05, and the overhead cost for an insurance company per insured driver is $110. What should the driver's insurance premium be?
A)$1156.43
B)$1242.93
C)$1276.27
D)$1165.49
Multiply the probability by the cost of the accident:
14,886.05 x 0.071 = 1056.91
Now add the overhead cost:
1056.91 + 110 = 1166.91
The closest answer to this is number D.
Answer:
D. $1165.49
Step-by-step explanation:
We have that the probability of a driver getting into an accident = 7.1% i.e. 0.071.
Now, the average cost of an accident = $14,886.05
Then, the expected cost of an accident = $14,886.05 × 0.071 = $1056.91
As, the overhead cost for insurance = $110
Therefore, the driver's insurance premium = $1056.91 + $110 = $1166.91
Since, the closest option to $1166.91 is option D.
Hence, the driver's insurance premium will be $1165.49.
(3x+7x-20) ÷ (x+4) can someone solve this?
Answer:
Alright well solve by dividing using polynomial division
10 - 60/x + 4 Hope this helps have a nice day :)
Step-by-step explanation:
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule. A(n) = 5 + (n-1)(1/6)
[tex]A(n)=5+(n-1)\left(\dfrac{1}{6}\right)=5+\dfrac{1}{6}n-\dfrac{1}{6}=\dfrac{1}{6}n+\dfrac{30}{6}-\dfrac{1}{6}\\\\A(n)=\dfrac{n+29}{3}\\\\\text{Put n = 1, n = 4 and n = 10 to the formula:}\\\\A(1)=\dfrac{1+29}{3}=\dfrac{30}{3}=10\\\\A(4)=\dfrac{4+29}{3}=\dfrac{33}{3}=11\\\\A(10)=\dfrac{10+29}{3}=\dfrac{39}{3}=13[/tex]
is -13/1 rational or irrational number
Answer:
Rational
Step-by-step explanation:
A rational number is a number that can be written as a fraction, (or is any real number, positive or negative) Irrational numbers, for example, are numbers that are decimals, but dont terminate or repeat. Such as [tex]\pi[/tex] and [tex] the square root of 2, 3 and 5. may i have brainliest?
100 POINTS!!!!!!!!!!!
The bottom one is < 1 and < 3
Answer:
B. <1 and <5
Step-by-step explanation:
they look exactly the same
Answer:
Correct answer is B. <1 and <5
Step-by-step explanation:
The measures of the angles of triangle ABC are given by the expressions in the table
What are the measures of angles A and C
m/A = ? Degrees
m/C = ? Degrees
Answer:
[tex]m<A=125\°[/tex]
[tex]m<B=35\°[/tex]
Step-by-step explanation:
step 1
Find the value of x
we know that
The sum of the interior angles in a triangle must be equal to 180 degrees
so
[tex]m<A+m<B+m<C=180\°[/tex]
substitute the values and solve for x
[tex](6x-1)\°+20\°+(x+14)\°=180\°[/tex]
[tex]7x=180\°-33\°[/tex]
[tex]7x=147\°[/tex]
[tex]x=147\°/7=21\°[/tex]
step 2
Find the measure of angle A
[tex]m<A=(6x-1)\°=6(21)-1=125\°[/tex]
step 3
Find the measure of angle C
[tex]m<C=(x+14)\°=21+14=35\°[/tex]
Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar. How much soy sauce does Bonnie mix with every 1 milliliter of vinegar?
Answer:How much soy sauce does Bonnie mix with every 1 millimeter of vinegar is 1.5
How much vinegar does bonnie mix with 1 millimeter of soy sauce is .666
Step-by-step explanation: The first is 150 divided by 100 is 1.5
Write the fact family formed by these numbers 3 9 12
Answer:
The family formed by these numbers is 3x where x is any integer number.
Step-by-step explanation:
We have been given 3 9 12
We can see that given numbers are multiple of 3 so, we can say that the given numbers are from the family of 3x
Where x is any integer number when multiplied by 3 will give the multiple of 3.
write an equation of the line containing the specified point and perpendicular to indicated line. (-5,6) 4x-y=3
Answer:
y = [tex]\frac{1}{2}x + \frac{29}{4}[/tex]
Step-by-step explanation:
First, we need to rearrange the equation to make it y = mx + c
4x - y = 3
y + 3 = 4x
y = 4x -3
So the slope of the line is 4.
The slope of a line perpendicular to an equation is:
[tex]\frac{-1}{gradient}[/tex]
So the slope of the perpendicular line is:
[tex]\frac{-1}{4}[/tex] = -0.25
Now to find the equation of a line you can use the following equation:
y - y₁ = m(x - x₁)
Where y₁ is the y-coordinate, x₁ is the x-coordinate and m is the gradient. Plug the values in:
y₁ = 6
x₁ = -5
m = [tex]\frac{-1}{4}[/tex]
y - 6 = [tex]\frac{-1}{4}[/tex](x - - 5)
To get rid of the fraction we need to multiply the whole equation by 4:
4y - 24 = -1(x - - 5)
The two negatives cancel out:
4y - 24 = -1(x + 5)
Multiply the brackets out:
4y - 24 = -x + 5
Now, to rearrange the formula back into y = mx + c
Move the -24 over to the other side making it a +24:
4y = 2x + 5 + 24
4y = 2x + 29
Divide everything by 4:
y = [tex]\frac{2}{4}x + \frac{29}{4}[/tex]
y = [tex]\frac{1}{2}x + \frac{29}{4}[/tex]
PLEASE SHOW WORK
Solve using substitution
y=x+1
3x-y=9
y = x + 1 (*)
3x - y = 9 (**)
Substitute (*) to (**):
3x - (x + 1) = 9
3x - x - 1 = 9 add 1 to both sides
2x = 10 divide both sides by 2i
x = 5Put the value of x to (*):
y = 5 + 1
y = 6Answer: x = 5 and y= 6 → (5, 6).which equation in slope-intercept from represents the line that passes through (-1, 5) and (5, 8)
y= 1/2 x -11
y=-1/2 x +11/2
y= 1/2 x +11/2
y= -1/2 x -11/2
Answer:
y= 1/2 x +11/2
Step-by-step explanation:
To find the slope
m = (y2-y1)/(x2-x1)
= (8-5)/(5--1)
= 3/(5+1)
= 3/6
= 1/2
Using point slope form of a line
y-y1 = m(x-x1)
y-5 = 1/2(x--1)
y-5 = 1/2(x+1)
Distribute
y-5 = 1/2x +1/2
Add 5 to each side
y = 1/2x + 1/2 + 5
Change 5 to 10/2
y = 1/2x + 1/2 + 10/2
y = 1/2x + 11/2
Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0) or (0,y)
To find the slope, you can use the slope formula and plug in the two points:
(-1,5) = (x₁ , y₁)
(5,8) = (x₂ , y₂)
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{8-5}{5-(-1)}[/tex]
[tex]m=\frac{8-5}{5+1} =\frac{3}{6} =\frac{1}{2}[/tex]
y = 1/2x + b
To find "b", plug in either of the points into the equation:
(5,8)
y = 1/2x + b
8 = 1/2(5) + b
8 = 5/2 + b Subtract 5/2 on both sides
8 - 5/2 = b Make the denominators the same in order to subtract them
16/2 - 5/2 = b
11/2 = b
[tex]y = \frac{1}{2}x+\frac{11}{2}[/tex]
The 3rd option is your answer
Help with #27. Answer choices are
A. 2
B.5
C.3
D.4
Answer:
C
Step-by-step explanation:
Since GK bisects ∠FGH then ∠FGK = ∠KGH, hence
6v - 2 = 4v + 4 ( subtract 4v from both sides )
2v - 2 = 4 ( add 2 to both sides )
2v = 6 ( divide both sides by 2 )
v = 3 → C
how do you solve this?
Answer: To solve these types of questions what I always do is get a protractor if you have one and put it up against to where the dot is in the middle of the empty hole and then get a ruler or a pencil and make the line keep going to see what angle. In this case your answer is 65% I think.
HELP 10PTS!! what is the value of x?
Answer:
68
Step-by-step explanation:
Since this is an isosceles triangle the bottom 2 angles are equal. So both bottom angles are 56 degrees. The three angles of a triangle add to 180 degrees.
56+ 56+ x = 180
Combine like terms
112 +x =180
Subtract 112 from each side
112-112+x = 180-112
x =68
Name the axis or quadrant in which the point (−3, 2) lies.
A. Quadrant III
B. Quadrant II
C. x-axis
D. Quadrant I
Mantago wants to borrow $20,000 to buy a used car. He examined his budget and decides that he can afford a payment of $425 a month. If his bank offers him an APR of 7.5%, how long should he borrow the money so he can afford his monthly payment?
3.5 years
4.66 years
4.5 years
4 years
Answer:
4.66 years
Step-by-step explanation:
Let us assume that it will take 't' years for him to repay the money that he would borrow.
We can use monthly cashflow formula:
[tex]C=Pr\frac{(1+r)^{12t}}{(1+r)^{12t}-1}[/tex]
Here, we have been given:
Monthly cashflow C=425
Loan amount P=20000
Interest rate AMR = 7.5%. Therefore, we have [tex]r=\frac{0.075}{12}[/tex]
Upon substituting these values in the formula, we get:
[tex]425=20000\cdot \frac{0.075}{12} \frac{(1+\frac{0.075}{12})^{12t}}{(1+\frac{0.075}{12})^{12t}-1}[/tex]
Upon simplifying, we get:
[tex]425=125 \frac{(1+0.00625)^{12t}}{(1+0.00625)^{12t}-1}[/tex]
[tex]425=125 \frac{(1.00625)^{12t}}{(1.00625)^{12t}-1}[/tex]
Upon solving this equation using a calculator, we get:
[tex]t=4.66[/tex]
Therefore, correct answer is 4.66 years. That is, second choice from the given options.
Jim drove 605 miles in 11 hours. At the same rate, how many miles would he drive in 13 hours?
Answer: 715 Miles
Step-by-step explanation:
Divide 605 miles by 11 hours, which would give you how far he travels in 1 hour. (605/11=55) Since they give you 13 hours, multiply 13 hours by 55 miles which gets you 715 miles :)
For which value of X is the row in the table of values incorrect? The function is the quadratic function Y=3/4x^2
Answer:
x = 2
Step-by-step explanation:
check by substituting each given value of x into the function
x = 0 ⇒ y = [tex]\frac{3}{4}[/tex] × 0² = 0
hence (0, 0) is correct
x = 2 ⇒ y = [tex]\frac{3}{4}[/tex] × 4 = 3
hence (2, 4 ) is incorrect
x = 3 ⇒ y = [tex]\frac{3}{4}[/tex] × 9 = 6 [tex]\frac{3}{4}[/tex]
hence (3, 6 [tex]\frac{3}{4}[/tex]) is correct
x = 5 ⇒ y = [tex]\frac{3}{4}[/tex] × 25 = 18 [tex]\frac{3}{4}[/tex]
hence (5, 18 [tex]\frac{3}{4}[/tex]) is correct
solve the system of equations. use any method you'd like:
5x+6y=-14
x-2y=10
To solve the system of equations, isolate x in the second equation and substitute it into the first equation. Simplify the resulting equation and solve for y. Substitute this value of y back into the second equation to find the value of x.
Explanation:To solve the system of equations:
From the second equation, isolate x by adding 2y to both sides: x = 10 + 2y.Substitute this value of x into the first equation: 5(10 + 2y) + 6y = -14.Simplify the equation and solve for y:50 + 10y + 6y = -14
16y = -64
y = -4
Substitute this value of y back into the second equation to find x:
x - 2(-4) = 10
x + 8 = 10
x = 2
Therefore, the solution to the system of equations is x = 2 and y = -4.
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Which of the following equations represents a degenerate ellipse?
Answer: [tex]\frac{x^2}{10} = -\frac{y^2}{18}[/tex]
Step-by-step explanation:
Since, The degenerate form of an ellipse is always a point.
Thus, the equation that shows only a point will be our answer.
Since [tex]9x^2 + 4y^2 = 1[/tex] is the equation of an ellipse,
Thus, It can not be a point.
[tex]\frac{x^2}{14} + \frac{y^2}{19} =2[/tex] is not a point ( because it is an equation of ellipse)
But, when we plot [tex]\frac{x^2}{10} = -\frac{y^2}{18}[/tex]
We get only a point (0,0).
Thus, equation, [tex]\frac{x^2}{10} = -\frac{y^2}{18}[/tex] shows only one point.
Therefore, it is a generated form of ellipse.
The equation representing a degenerate ellipse would have the sum of the distances from the foci to any point on the curve as a constant.
Explanation:An ellipse is a closed curve such that the sum of the distances from a point on the curve to the two foci is constant. So, the equation representing a degenerate ellipse would have the sum of the distances from the foci to any point on the curve as a constant. The correct equation is (b).
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Which two values of x are roots of the polynomial below?
Answers: choice A, choice C
Compute the discriminant (use a = 1, b = 5, c = 11)
D = b^2 - 4ac
D = 5^2 - 4*1*11
D = 25 - 44
D = -19
The discriminant is negative, so the two solutions are complex or imaginary. The -19 will be under the root as choice A and choice C show
Drag each expression to show whether it is equivalent to 36 + 9, 9(4 – 1), or (4 • 9) + (4 • 2).
Answer:
None of these are equivalent
Step-by-step explanation:
36 + 9 = 45
9(4 – 1) = 9* 3 = 27
(4 • 9) + (4 • 2) = 36+ 8 = 44
ANSWER THIS PLEEEEEEEEEEEEEEEEEEAAAAAAAAAASSSSSSSSSSSSEEEEEEEEEEE. I BEEEEEEEEEEEEEEEEEEEEGGGGGGGGGG OF YOOOOOOOOOOOOOOUUUUUUUUUWhat is the slope-intercept form of the function that contains the points (6, 2) and (4, 8)?
Answer:
y = -3x+20
Step-by-step explanation:
First we will write the equation in point-slope form,
[tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point on the line.
We must find the slope. The formula for slope is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Using our two points, we have
m = (8-2)/(4-6) = 6/-2 = -3
We will use the first point and this slope:
y-2 = -3(x-6)
Using the distributive property, we have
y-2 = -3(x)-3(-6)
y - 2 = -3x--18
y - 2 = -3x+18
Add 2 to each side:
y-2+2 = -3x+18+2
y = -3x+20