Answer:

Step-by-step explanation:
![\displaystyle = \frac{x+7}{x^2+4x-21} \div \frac{x+5}{x^2+8x+15} \\\\Apply \ mid-term \ break\\\\= \frac{x+7}{x^2 +7x-3x-21} \div \frac{x+5}{x^2 +3x+5x+15} \\\\= \frac{x+7}{x(x+7)-3(x+7)} \div \frac{x+5}{x(x+3)+5(x+3)} \\\\Taking \ (x+3) \ and \ (x+7) \ common\\\\= \frac{x+7}{(x-3)(x+7)} \div \frac{x+5}{(x+3)(x+5)} \\\\= \frac{1}{x-3} \div \frac{1}{x+3} \\\\= \frac{1}{x-3} * (x+3)\\\\= \frac{x+3}{x-3} \\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%3D%20%5Cfrac%7Bx%2B7%7D%7Bx%5E2%2B4x-21%7D%20%5Cdiv%20%5Cfrac%7Bx%2B5%7D%7Bx%5E2%2B8x%2B15%7D%20%5C%5C%5C%5CApply%20%5C%20mid-term%20%5C%20break%5C%5C%5C%5C%3D%20%5Cfrac%7Bx%2B7%7D%7Bx%5E2%20%2B7x-3x-21%7D%20%5Cdiv%20%5Cfrac%7Bx%2B5%7D%7Bx%5E2%20%2B3x%2B5x%2B15%7D%20%5C%5C%5C%5C%3D%20%5Cfrac%7Bx%2B7%7D%7Bx%28x%2B7%29-3%28x%2B7%29%7D%20%5Cdiv%20%5Cfrac%7Bx%2B5%7D%7Bx%28x%2B3%29%2B5%28x%2B3%29%7D%20%5C%5C%5C%5CTaking%20%5C%20%28x%2B3%29%20%5C%20and%20%5C%20%28x%2B7%29%20%5C%20common%5C%5C%5C%5C%3D%20%5Cfrac%7Bx%2B7%7D%7B%28x-3%29%28x%2B7%29%7D%20%5Cdiv%20%5Cfrac%7Bx%2B5%7D%7B%28x%2B3%29%28x%2B5%29%7D%20%5C%5C%5C%5C%3D%20%5Cfrac%7B1%7D%7Bx-3%7D%20%5Cdiv%20%5Cfrac%7B1%7D%7Bx%2B3%7D%20%5C%5C%5C%5C%3D%20%5Cfrac%7B1%7D%7Bx-3%7D%20%2A%20%28x%2B3%29%5C%5C%5C%5C%3D%20%5Cfrac%7Bx%2B3%7D%7Bx-3%7D%20%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
Answer:
false they are equal
Step-by-step explanation:
Answer:
slope = 8, y- intercept = 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Given
- 8x + y = 5 ( add 8x to both sides )
y = 8x + 5 ← in slope- intercept form
with slope m = 8 and y- intercept c = 5
Answer: 1 1/9.
Step-by-step explanation: Divide the numerator by the denominator. Write the whole number answer. Make a fraction from the remainder and the original denominator. To get back to an improper fractions, add the whole number to the numerator.