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3 years ago

A line includes the points (-1, -10) and (1, 0). What is its equation in slope-intercept form?

Mathematics

1 answer:

netineya [11]3 years ago

8 0

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-1, -10) and (1, 0). Substitute:

$m=\dfrac{0-(-10)}{1-(-1)}=\dfrac{10}{1+1}=\dfrac{10}{2}=5$

Put the coordinates of the point (1, 0) to the equation of line:

$0=5(1)+b$

$0=5+b$ <em>subtract 5 from both sides</em>

$-5=b\to b=-5$

<h3>Answer: y = 5x - 5</h3>

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If the dimensions of a rectangular prism are 39 mm × 12 mm × 15 mm, then what is the surface area

grin007 [14]

Answer:

$\huge\boxed{SA=2466\ (mm^2)}$

Step-by-step explanation:

The formula of a Surface Area of a rectangular prisms:

$SA=2(lw+lh+wh)$

<em>l</em><em> - length</em>

<em>w</em><em> - width</em>

<em>h</em><em> - height</em>

<em />

We have:

$l=39mm;\ w=12mm;\ h=15mm$

Substitute:

$SA=2\bigg((39)(12)+(39)(15)+(12)(15)\bigg)\\\\SA=2(468+585+180)\\\\SA=2(1233)\\\\SA=2466\ (mm^2)$

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3 years ago

Your dog is 8 years younger than your friend. In 2 years, your friend will be three times as old as your dog. How old is your do

ra1l [238]

Answer:

Dog is 2 years old

Step-by-step explanation:

Let dog's age = d

Let friend's age = f

Your dog is 8 years younger than your friend:

d +8 = f

In 2 years, your friend will be three times as old as your dog:

3(d+2) = (f+2)

3d+6 = f+2

3d = f - 4

(sub in f=d+8 from above)

3d = f - 4

3d = d+8 - 4

2d = 4

d = 2

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3 years ago

The mk family ochard has 120 apple trees and 90 pear trees.if each fruit tree produces an average of 590 pounds of fruit per yea

denis-greek [22]

If there’s a total of 210 fruit trees, and each tree produces 590 pounds a year, you multiply both those numbers and get 123,900 pounds a year.

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3 years ago

Pls help I need a good grade

aleksley [76]

Answer:

f= -14

Step-by-step explanation:

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3 years ago

Read 2 more answers

Here are descriptions for how two dot patterns are growing,

Arisa [49]

The steps in the patterns A and B form a sequence

The attached diagram represents dots in patterns A and B

<h3>How to draw the diagrams</h3>

For pattern A, we have:

Step 2 = 10 dots

Increment of 3 dots in each step

This means that:

Step 0 = 4 dots

Step 1 = 7 dots

Step 2 = 10 dots

Step 3 = 13 dots

For pattern A, we have the following rule

$T_n =2n^2 + 1$

When n = 0 to 3, we have:

$T_0 =2(0)^2 + 1 =1$

Step 0 = 1 dot

$T_1 =2(1)^2 + 1 =3$

Step 1 = 3 dots

$T_2 =2(2)^2 + 1 =9$

Step 2 = 9 dots

$T_3 =2(3)^2 + 1 =19$

Step 3 = 19 dots

Next, we draw the diagrams of both patterns (see attachment)