What is the slope of the line?

Answer:

[tex]\large\boxed{y=-\dfrac{1}{3}x+1}[/tex]

Step-by-step explanation:

[tex]\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\to(0,\ b)[/tex]

[tex]\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\=======================\\\\\text{We must find the slope of the given line.}\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{Substitute the coordinates of the given points from the graph (0, 1) and (-3, 2)}\\\\m_1=\dfrac{2-1}{-3-0}=\dfrac{1}{-3}=-\dfrac{1}{3}[/tex]

[tex]\text{We have an equation:}\\\\y=-\dfrac{1}{3}x+b\\\\\text{From the coordinates of the point (0, 1) we have the y-intercept:}\ b=1.\\\\\text{Therefore we have the equation:}\\\\y=-\dfrac{1}{3}x+1[/tex]

The graph that represents the line (y = 12x) is option C) and this can be determined by using the point-slope form of the line.

Given :

Bike traveling at a constant rate of 12 miles per hour.

The following steps can be used to determine the graph that represents a bike traveling at a constant rate of 12 miles per hour:

Step 1 - All the graphs in the option pass through the point (0,0). So, (0,0) is the point through which a line is pass through.

Step 2 - Another point is (1,12) through which line passes because it is given that bike traveling at a constant rate of 12 miles per hour.

Step 3 - The equation of the line that passes through the points (0,0) and (1,12) is given by:

[tex]\dfrac{y-0}{x-0}=\dfrac{12-0}{1-0}[/tex]

y = 12x

So, the graph that represents the line (y = 12x) is option C).

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Answer:

2 2/3 >x

Step-by-step explanation:

6>x+3 1/3

Subtract 3 1/3 from each side

6-3 1/3>x+3 1/3-3 1/3

Replace 6 with 5 3/3

5 3/3 - 3 1/3 > x

2 2/3 >x

Answer:

Part 1) [tex]1\frac{5}{6}\ ft[/tex]

Part 2) [tex]10\frac{2}{3}\ bags[/tex]

Step-by-step explanation:

Part 1)

step 1

Convert mixed number to an improper fraction

[tex]5\frac{1}{2}\ ft=\frac{5*2+1}{2}=\frac{11}{2}\ ft[/tex]

step 2

Divided the improper fraction by 3

[tex]\frac{(11/2)}{3}=\frac{11}{6}\ ft[/tex]

step 3

Convert to mixed number

[tex]\frac{11}{6}=\frac{6}{6}+\frac{5}{6}=1\frac{5}{6}\ ft[/tex]

Part 2)

step 1

Convert mixed number to an improper fractions

[tex]4\frac{1}{6}\ cups\ popcorn=\frac{4*6+1}{6}=\frac{25}{6}\ cups\ popcorn[/tex]

[tex]3\frac{5}{6}\ cups\ pretzels=\frac{3*6+5}{6}=\frac{23}{6}\ cups\ pretzels[/tex]

step 2

Adds the two quantities

[tex]\frac{25}{6}+\frac{23}{6}=\frac{48}{6}=8\ cups[/tex]

step 3

Divide the total cups by 3/4 to find the number of bags

so

[tex]\frac{8}{(3/4)}=\frac{32}{3}\ bags[/tex]

step 4

Convert to mixed number

[tex]\frac{32}{3}\ bags=\frac{30}{3}+\frac{2}{3}=10+\frac{2}{3}=10\frac{2}{3}\ bags[/tex]

19x - 6x + 2

Two terms have an X in them, so you can combine them :

19x -6x = 13x

You now have 13x +2, which can be rewritten as 2 + 13x

The 3rd answer is correct.

Hey there!

The correct choice is C. 2 + 13x

Like the answer says, all you have to do is combine the x’s and rearrange: 13x +2 can be rearranged as 2 + 13x

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

(1/2)5x I hope this helps!!

Answer: See picture.

Step-by-step explanation:

For this king of method, I personally like using the Box Method. See Picture:

Answer:

15 < n < 25

Step-by-step explanation:

According to the triangle inequality theorem, any two sides lengths' sum should be greater than the third side. This also implies that to find the possible length of  the 3rd side given other two sides (let two given sides be x and y), we can say that the 3rd side length will be between x+y and x-y.

Hence, we can say that n should be between 20+5 and 20-5.

So, 20 - 5 < n < 20 + 5, which is

15 < n < 25

This is the correct answer.

Answer:

15 < n < 25 which on ed is D

Step-by-step explanation:

According to the triangle inequality theorem, any two sides lengths' sum should be greater than the third side. This also implies that to find the possible length of  the 3rd side given other two sides (let two given sides be x and y), we can say that the 3rd side length will be between x+y and x-y.

Answer:

r = 8

Step-by-step explanation:

59 = 7r + 3

Switch sides:

7r + 3 = 59

Subtract 3 from both sides:

7r = 56

Divide both sides by 7:

r = 8

Answer:

r = 8

Step-by-step explanation:

59 = 7r+3

subtract both sides by 3

56 = 7r

divide both sides by 7

8 = r

Answer:

y = 6√3 and x = 6

Step-by-step explanation:

this is a 30-60-90 triangle.  The side opposite the 30° angle corresponds to the side of length 1  in the most basic 30-60-90 triangle; the side opp. 60° to the side of length √3; and the hyp. to the side of length 2.

To find y, write and solve an equation of ratios, as follows:

adj side           adj side      (adjacent to the 30° angle)

    y                       √3

 hypo               hypo    then (cross multiplying):  2y = 12√3, and

    12                     2       y = 6√3

If the hypo here is 12 and the adj side (y) is 6√3, then we can use the Pyth. Theorem to find the third side (x):

[12]² = [6√3]² - x²  ↔ 144 = 36(3) - x²   ↔  36 = x².  So x = 6 here.

Answer:

x = 6

y ≈ 10. 40

Step-by-step explanation:

Using the SOHCAHTOA principle we can solve for x and y since the angle is known and it is a right angle triangle.

hypotenuse = 12

adjacent = x

opposite = y

cos 60° = adjacent/hypotenus

cos 60° = x/12

cross multiply

x = 12 cos 60°

x = 12 × 0.5

x = 6

Finding y

sin 60° = opposite/hypotenuse

sin 60° = y/12

cross multiply

y = 12 sin 60°

y  = 12 × 0.8660254038

y =  10.392304845

y ≈ 10. 40

Answer:

2800

Step-by-step explanation:

since 7 x 4 is 28 , 70 x 40 is 2800 because 70 is 7 x 10 and 40 is 4 x 10,

so 7 x 10 x 4 x 10 can be moved to get 7 x 4 x 10 x 10. if we do this we get 28 x 100 therefore 2800

Answer:

2800

Step-by-step explanation:

hear is a tip do the butterfly method

I hope this we help you

The value of x is 3.555556 and the graph is attached in image

Solve for u in (7 + u)^2 - (5 + u)^2 = 6v

u = 3(v - 4)/2

Substitute u = 3(v - 4)/2 into (2 - v)^2 - (6 - v)^2 = 4u

8v - 32 = 6(v - 4)

Solve for v in 8v - 32 = 6(v - 4)

v = 4

Substitute v = 4 into u = 3(v - 4)/2

u = 0

Therefore,

u = 0

v = 4

The answer would be 11

Answer:

are there any answer choices to chose from. if so pls lmk the options. if not lmk and ill be happy to help

Step-by-step explanation:

Answer:

Aprox 190 inch2

Step-by-step explanation:

A = [Pi*r^2]/2

A = 60.5*Pi

A = 189.97 inc2

Best regards

Answer:

190 Square inches

Step-by-step explanation:

Formula for a semicircle is A=3.14*r^2/2

R=11 because its half the diameter

11^2=121

121 * 3.14 = 379.94

379.94 / 2 = 189.97

189.97 is approximately 190.

y=5x is your answer :)

The equation of the line passing through the points (1, 5) and (2, 10) is y = 5x.

Step 1: Calculate the slope (m) using the given points (1, 5) and (2, 10).

The slope (m) is given by the difference in y-coordinates divided by the difference in x-coordinates:

m = (10 - 5) / (2 - 1) = 5 / 1 = 5

Step 2: Select one of the points to use in the point-slope form. Let's choose (1, 5) as (x₁, y₁).

Step 3: Substitute the values into the point-slope form equation:

y - 5 = 5(x - 1)

Step 4: Distribute and simplify the equation:

y - 5 = 5x - 5

Step 5: Isolate 'y' on one side of the equation:

y = 5x - 5 + 5

y = 5x

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F(x)=(x+1)^2 that’s the answer

Answer:

[tex]f(x)=(x+1)^2[/tex]

Step-by-step explanation:

We have been given graph of a function. We are asked to find the equation of the graphed function.

Upon looking at our given graph, we can see that the graph represents a parabola.

We know that vertex form of a parabola is: [tex]y=a(x-h)^2+k[/tex], where, (h,k) represents the vertex of parabola.

We can see that vertex of our given parabola is at point [tex](-1,0)[/tex], so substituting the coordinates of vertex of parabola, we will get:

[tex]y=a(x--1)^2+0[/tex]

[tex]y=a(x+1)^2[/tex]

Now we will find the value of a using coordinates of point (0,1) in above equation.

[tex]1=a(0+1)^2[/tex]

[tex]1=a(1)^2[/tex]

[tex]1=a*1[/tex]

[tex]1=a[/tex]

Therefore, the equation of our graphed function would be [tex]f(x)=(x+1)^2[/tex]

Answer:

hi there

your answer is A=125

Step-by-step explanation:

Step 1 :A=25 = a/5  - a/5

Step 2 :A=25-(a/5) = 0

Step 3 : A= 25-1/5×a = 0 - 25

Step 4 :A= -1/5×a = -25  -1/5

Step 5 :a = -25/(-1/5)

Step 6 : a = 125

i hope this helps  out

Have a great morning

FaithRawlins14

Answer:

The missing value is 5

The solution is (8,5)

Explanation:

The given equation is:

5x - 2y = 30

An order pair is written as (x , y). We are given (8 , ?)

This means that we want to find the y value that corresponds to x=8

To do this, we will substitute with x=8 in the given equation and solve for y

This is done as follows:

5x - 2y = 30

5(8) - 2y = 30

40 - 2y = 30

2y = 10

y = 5

This means that at x=8 and y=5, the equation is satisfied

(8,5) is a solution to the given equation

Hope this helps :)

Answer:

(8, 5)

Step-by-step explanation:

The given equation is:

5x - 2y = 30

We have to complete the given incomplete solution set (8, ?)

The first point in the ordered pair is always the x-value. So we are given an x-value and we have to find the corresponding y-value from the function.

Using x = 8 in the given function, we get:

5(8) - 2y = 30

40 - 2y = 30

- 2y = 30 - 40

- 2y = -10

y = 5

So, the value of y for x = 8 is 5. The complete ordered pair that satisfy the equation will be (8, 5)

An irrational number is not ending and non repeating

Square root of 16=4

Square root of 100=10

Square root of 36=6

These are all rational

The square root of 15=3.872983......

The answer is square root of 15

Answer:

B. [tex]\sqrt{15}[/tex]

Step-by-step explanation:

We have been given four numbers. We are asked to find the irrational number from our given number.

A. [tex]\sqrt{16}[/tex]

[tex]\sqrt{16}=4[/tex]

Since we can write 4 as a fraction, therefore, [tex]\sqrt{16}[/tex] is a rational number.

B. [tex]\sqrt{15}[/tex]

[tex]\sqrt{15}=3.8729833462[/tex]

Since our given number has non-terminating non repeating decimal, therefore, [tex]\sqrt{16}[/tex] is an irrational number.

C. [tex]\sqrt{36}[/tex]

[tex]\sqrt{36}=6[/tex]

Since we can write 6 as a fraction, therefore, [tex]\sqrt{36}[/tex] is a rational number.

D. [tex]\sqrt{100}[/tex]

[tex]\sqrt{100}=10[/tex]

Since we can write 10 as a fraction, therefore, [tex]\sqrt{100}[/tex] is a rational number.

Answer:

GH

Step-by-step explanation:

If you look at y = -2, you can see that AB is one unit below it. Now if you flip this line segment across y = -2, all you have to do is count on unit up and find segment GH is in the correct position.

Answer:

The line segment GH is the answer.

Step-by-step explanation:

In the given figure we can see that point B of line AB lies one unit below the given y=-2. Now, when this line across y = -2, the point B will lie one unit above -2 that is H with the other end G.                                                

So, GH is the correct answer.

Answer:

The answer is P(0,4) , Q(2,0)

Step-by-step explanation:

Points P and A are any coordinates where y = 4 - 2x. For example, P might be the point (1, 2).

The given equation is 4x + 2y = 8. To find the coordinates of points P and A, we can rearrange and simplify the linear equation. Divide the whole equation by 2, we get 2x + y = 4, or y = 4 - 2x. Therefore, the line has the slope-intercept form of y = mx + b, where m is the slope and b is the y-intercept. This line passes through all points (x, y) where y = 4 - 2x. Therefore, P and A can be any points satisfying this equation. For example, if x = 1, then y = 2, so one possible coordinate is P(1, 2).

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Answer:

the third one down

Step-by-step explanation:

Answer:

[tex]\frac{8\sqrt{x} }{y}[/tex]

I hope that helped

Answer:

From the given figure we get,

DC║AB

Step-by-step explanation:

It is given that,

<DCB  and <CBA are supplementary, that means  

<DCB + <CBA = 180

If these two angles are on the same side of a traversal CB.

<DCB and CBA are same side interior angles.

CB is the traversal of AB and DC

Therefore we get DC║AB

The correct answer is DC║AB

Answer:

$75

Step-by-step explanation:

100 ÷ 25=75

Hope this helps!☺

To find the price of the video game with the coupon, subtract the discount amount from the original price.

To calculate the price of the video game with the coupon, we first calculate the discount amount. The coupon is for 25% off, so the discount amount is 25% of $100. Using the formula discount = (percentage / 100) * original price, the discount amount is (25 / 100) * $100 = $25.

To find the price of the video game with the coupon, we subtract the discount amount from the original price. The price of the video game with the coupon is $100 - $25 = $75.

Therefore, the price of the video game with the coupon is $75.

Answer:

Step-by-step explanation:

[tex]\dfrac{20}{15}=\dfrac{n}{18}\qquad\text{cross multiply}\\\\15n=(20)(18)\\\\15n=360\qquad\text{divide both sides by 15}\\\\n=24[/tex]

V=πr2h

V=3.14(9)2(2)

V=3.14(81)(2)

V=254.34(2)

V=508.68

Answer:

Heyo. The answer is 60.48

Step-by-step explanation:

This is pretty easy, all you have to do is multiply the length, height, and width. Remember this. LxHxW. Thats is the formula. You do 4.2 cm, multiplied by 3.2 cm, then multiply that by 4.5 cm. Hope this helps! :)