<u>Answer:</u>
1) Option B ![y=-\frac{4}{5}x +7](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B4%7D%7B5%7Dx%20%2B7)
2) Option A ![y-0=\frac{1}{3} (x+6)](https://tex.z-dn.net/?f=y-0%3D%5Cfrac%7B1%7D%7B3%7D%20%28x%2B6%29)
<u>Step-by-step explanation:</u>
Question 1:
We will find the slope of the line with the help of the given points (0, 7) and (5, 3)
.
![Slope_1 = \frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=Slope_1%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![Slope_1 = \frac{3-7}{5-0} =-\frac{4}{5}](https://tex.z-dn.net/?f=Slope_1%20%3D%20%5Cfrac%7B3-7%7D%7B5-0%7D%20%3D-%5Cfrac%7B4%7D%7B5%7D)
Now, we will use any one of the given points and substitute its x and y coordinates in the standard form of equation of a line to find the y-intercept:
![y=mx+c](https://tex.z-dn.net/?f=y%3Dmx%2Bc)
![7=-\frac{4}{5}(0)+c](https://tex.z-dn.net/?f=7%3D-%5Cfrac%7B4%7D%7B5%7D%280%29%2Bc)
![7=c](https://tex.z-dn.net/?f=7%3Dc)
Therefore, the equation of the line 1 is ![y=-\frac{4}{5} x+7](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B4%7D%7B5%7D%20x%2B7)
Question 2:
We are given the slope of this line and a point (-6, 0) which the line passes through.
![Slope_2=\frac{1}{3}](https://tex.z-dn.net/?f=Slope_2%3D%5Cfrac%7B1%7D%7B3%7D)
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
![y-0=\frac{1}{3}(x-(-6))](https://tex.z-dn.net/?f=y-0%3D%5Cfrac%7B1%7D%7B3%7D%28x-%28-6%29%29)
![y-0=\frac{1}{3} (x+6)](https://tex.z-dn.net/?f=y-0%3D%5Cfrac%7B1%7D%7B3%7D%20%28x%2B6%29)
Therefore, the equation of line 2 is
.
85÷(9×5)-(10×4)
85÷(45)-(40)
85/5
17
I think I did this right....
Answer:
(4x - 2y³)²
Step-by-step explanation:
a² - 2ab + b² = (a - b)²
16x² = 4²x² = (4x)² , Therefore, a = 4x
4y⁶=2²(y³)² = (2y³)² = b² , Therefore, b = 2y³
2ab = 2*4x*2y³ = 16xy³
16x² - 16xy³ + 4y⁶ = (4x)² - 2* 4x * 2y³ + (2y³)²
= (4x - 2y³)²
If I'm understanding this correctly, you want us to make it into a fraction?
70% = 70 per hundred.
Which means it's 70/100
70/100 or 7/10