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3 years ago

A line passes through (-1,7)and(2, 10)

1 answer:

3 0

Slope
m = (y2-y1)/(x2-x1)
m = (10 - 7)/(2 --1)
m = 3/3
m = 1

To find the equation
y = mx + b
m is slope
y = 1x + b
plug in one of the equations to solve for b
10 = 1(2) + b
10 = 2 + b
subtract 2 from both sides
8 = b

The equation is
y = 1x + 8
or you can write it as
y = x + 8

Hope this helps

You might be interested in

A rectangle has an area of x square units. The rectangle is dilated to create a new rectangle with an area of 9x square units. D

Alika [10]

The reactangle has an area of x.

So that means two numbers multiplied to each other equal to x. We can just think of itwo numbers that when multiplied equal to x as a and b.

So that means the side lengths are <u />a and b. And ab = x (will be using this right next).

And it was multiplied by some scale factor that made the new area 9x. So if the scale factor is y, then:

$(y\times a)\times (y\times b)=9x$
$y^2ab=9x$
$y^2x=9x$
$y=3$

y can not equal to -3, because the length of a side of any polygon can never be negative.

So the dilation is 3.

And so if the dimension is 5 by 8.

Then the area is $5 \times 8=40$

And so then $x=40$

And then after the dilation, it would be $9x=9(40) = 360$

We could check it another way too. Since we said the scale factor is 3, then:

$( 5 \times 3) \times (8 \times 3) = 15 \times 24 = 360$

So basically 15 by 24 is the new dimensions :)

6 0

3 years ago

A triangle has an area of 80 yd^2 and a height of 10 yd. How long is the base of a triangle? Enter in the answer in the box.

sdas [7]

Answer:

Length of the base is 16 yards.

Step-by-step explanation:

We are given that,

Area of the triangle = 80 yd²

Height of the triangle = 10 yards

Since, we know,

Area of a triangle = $\frac{1}{2}\times Base \times Height$

So, we get,

$80=\frac{1}{2}\times Base \times 10$

i.e. $80=Base \times 5$

i.e. $Base=\frac{80}{5}$

i.e. Base = 16 yards

Thus, the length of the base is 16 yards.

8 0

4 years ago

Read 2 more answers

X+1 ^ 16 what is the coefficient of x^5

kirza4 [7]

Binomial theorem:

$(x+1)^{16}=\displaystyle\sum_{k=0}^{16}\dbinom{16}kx^{16-k}1^k=\sum_{k=0}^{16}\dbinom{16}kx^{16-k}$

The $x^5$ term corresponds with the term in the sum for which $16-k=5\implies k=11$ . For this $k$ , we get

$\dbinom{16}{11}x^{16-11}=\dbinom{16}{11}x^5$

So the coefficient you want to find is

$\dbinom{16}{11}=\dfrac{16!}{11!(16-11)!}=4368$

8 0

3 years ago

Rewrite 8^1/3 using radical notation.

Aliun [14]

The answer is cube root 8

4 0

3 years ago

Ifangle1∠ 1 and angle2∠ 2 are complementary, find the measure of x and the measures of the angles when LaTeX: m\angle1=\left(6x+

Liono4ka [1.6K]

Answer:

Step-by-step explanation:

The sum of two complementary angle is 90 degrees. Given the following complementary angles;

<1 = 6x + 5

<2 = 8x + 15

<1 + <2 = 90 (complementary angles)

6x + 5 + 8x + 15 = 90

14x + 20 = 90

14x = 90-20

14x = 70

x = 70/14

x = 5

Hence the measure of x is 5

6 0

3 years ago