All categories

2 years ago

What is the y-intercept of the line?

Mathematics

1 answer:

8090 [49]2 years ago

6 0

Answer:

Step-by-step explanation:

We start by working out the slope. The slope is change in y over change in x, so (66-58)/(-56)-(-42) is the slope here. 66-58 is 8, and -56-(-42) is -14. -8/14=-4/7. The equation of a line in slope-intercept form is y=mx+b where b is the y intercept and m is the slope. Since the slope is -4/7, then y=-4/7x+b. We then insert any x and y pair into this equation and solve for b, the y intercept to get it. (We can do ANY pair) So, 50=(-4/7)(-28)+b.

: 50=16+b

: 50-16=b

: 34=b

So, in conclusion, the y intercept is 34. Hope this helps!

You might be interested in

When they are both racing on hoverboards, Victoria is 3 times as fast as her brother Max. When she is on foot, she is 3 times sl

NARA [144]

Answer:

Race completed in 48 minutes.

Step-by-step explanation:

Let the speed of Max on hoverboard is = x

Then as per question speed of Victoria on hoverboard = 3x

Now it has been given in the question that speed of Victoria on foot is 1/3 of the speed of Max on hoverboard that will be = x/3

Now we will form the equation.

As we know the formula speed = distance/time

Let the time taken by both to complete the race be t minutes.

Distance covered by Victoria in 12 minutes + Distance covered by Victoria on foot = distance covered by Max on hoverboard

Then the equation will be

12(3x)+(1/3)x(t-12)=xt

$36x+\frac{xt}{3}-4x=xt$

$x(36+\frac{t}{3}-4)=xt$

$36+\frac{t}{3}-4=t$

$32=t-\frac{t}{3}$

$\frac{2t}{3}=32$

$t=\frac{(32)3}{2}=48$

So 48 minutes it took to complete the race.

4 0

3 years ago

Read 2 more answers

In the figure below, a shaded polygon, which has equal sides and equal angles, is partially covered with a sheet of blank paper.

Zepler [3.9K]

Answer:

The polygon has 9 sides ⇒ D

Step-by-step explanation:

This is a tricky question

∵ The shaded figure is a quadrilateral

∴ The sum of the measures of its angles is 360

∵ Its angles are x, y, and two vertices of the polygon

∵ All angles of the polygon are equal in mesures

∴ x + y + m of 2 vertices = 360°

∵ x + y = 80

→ Substitute the value of x + y above by 80

∴ 80 + m of 2 vertices = 360

→ Subtract 80 from both sides

∴ m of 2 vertices = 280

→ Divide the two sides by 2

∴ m of 1 vertex = 140°

∴ The measure of each angle of the polygon is 140°

The sum of the measures of the interior angle and the exterior angle at any vertex of the polygon is 180°

∵ m of interior ∠ + m of exterior ∠ = 180° ⇒ at any vertex

∴ 140 + m of exterior ∠ = 180°

→ Subtract 140 from both sides

∴ m of exterior ∠ = 40°

∴ The measure of each exterior angle is 40°

The sum of the measures of the exterior angles of any polygon is 360°

∵ The measure of each exterior angle of the given polygon is 40°

∴ The number of the angles of the polygon = 360 ÷ 40 = 9

∵ The number of the angles of the polygon = the number of its sides

∴ The polygon has 9 sides

4 0

2 years ago

If the third term in a geometric sequence is 20, and the fifth term in the

Gwar [14]

Answer: A) 1/2

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

If the third term is 20, it means that

T3 = 20 = ar^(3 - 1)

20 = ar²- - - - - - - - - - 1

If the third term is 20, it means that

T5 = 5 = ar^(5 - 1)

5 = ar⁴- - - - - - - - - - 2

Dividing equation 2 by equation 1, it becomes

5/20 = r⁴/r²

1/4 = r^(4 - 2)

(1/2)² = r²

r = 1/2

6 0

3 years ago

Find the distance between each set of points. Round to the nearest tenth, when necessary. (-3, 2) and (1, -6)

vovangra [49]

Answer:

<h2>The answer is 8.9 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3, 2) and (1, -6)

The distance between them is

$d = \sqrt{ ({ - 3 - 1})^{2} + ({2 + 6})^{2} } \\ = \sqrt{ ({ - 4})^{2} + {8}^{2} } \\ = \sqrt{16 + 64} \\ = \sqrt{80} \: \: \: \: \: \: \: \: \: \: \\ = 4 \sqrt{5} \: \: \: \: \: \: \: \: \: \: \\ = 8.9442719...$

We have the final answer as

8.9 units to the nearest tenth

Hope this helps you

6 0

2 years ago

A toy company produces 1,000 toys per

lidiya [134]

C option is correct. Because out of 10 toys 1 is defective. So 10 will be defective out of 100 and 100 will be defective out if 1000 i.e the monthly production.

8 0

3 years ago