Answer:
<h2>y - 6 = 2(x - 7)</h2>
Step-by-step explanation:
The point-slope of an equation of a line:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
m - slope
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have the poinys (-1, -10) and (5, 2). Substitute:
![m=\dfrac{2-(-10)}{5-(-1)}=\dfrac{12}{6}=2](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B2-%28-10%29%7D%7B5-%28-1%29%7D%3D%5Cdfrac%7B12%7D%7B6%7D%3D2)
Put the value of the slope and the coordinateso f the point (5, 2), to the equation of a line:
![y-2=2(x-5)](https://tex.z-dn.net/?f=y-2%3D2%28x-5%29)
In the question we have y - 6 = ...
Therefore
<em>subtract 4 from both sides</em>
<em>use the distributive property</em>
![y-6=2x-10-4](https://tex.z-dn.net/?f=y-6%3D2x-10-4)
<em>distributive</em>
![y-6=2(x-7)](https://tex.z-dn.net/?f=y-6%3D2%28x-7%29)
I don't know hibgiuuibbohubhouhigohiboihbobihioijboib
Answer:
![\text{A. }1\leq x \leq6](https://tex.z-dn.net/?f=%5Ctext%7BA.%20%7D1%5Cleq%20x%20%5Cleq6)
Step-by-step explanation:
A constant intervals occurs when the function is neither increasing or decreasing. In the graph, we see this occurs from
to
. Therefore, the interval in which the graph is constant is ![\boxed{\text{A. }1\leq x \leq6}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Ctext%7BA.%20%7D1%5Cleq%20x%20%5Cleq6%7D)
Answer:
The smaller angle = 31°
The larger angle = 149°
Step-by-step explanation:
The sum of two supplementary angles = 180 degrees
Lets x = the smaller angle
larger angle = 5x - 6
So now you have the equation:
x + 5x - 6 = 180
6x - 6 = 180
6x = 186
x = 31
The smaller angle = 31 degrees
The larger angle = 5(31) - 6 = 149 degrees
Answer:
9:7
Step-by-step explanation:
number of boys is 32 - 18 = 14
ratio will be 18:14
then 9:7