Answer:
9. 64+16n+n^2
10. x^2-121
11. 40b^2-45b+5
12. x^2+6x+9
Step-by-step explanation:
9. Use FOIL(multiply first terms in both polynomials, then the outer terms, then the inner terms and finally the last terms adding them together). You get 8^2+8n+8n+n^2, which is 64+16n+n^2.
10. This one is a special equation. If (a-b)(a+b), then the answer will be a^2-b^2. Plug in your values, and you get x^2-121.
11. Use FOIL again, getting 40b^2-45b+5.
12. And FOIL again, getting x^2+6x+9.
Answer:
5
Step-by-step explanation:
Use the Pythagorean Theorem
a²+b²=c² plug in the info you have
a²+12²=13² (c is always the side opposite from the right angle)
Solve for a
a²+144=169
-144 -144
a²=25 take the square root of both sides
√a²=√25
a=5
Answer:
It will take him less then a minute.
Step-by-step explanation:
Answer:
x = 19
Step-by-step explanation:
Assuming the question was (5x + 4)° (8x – 71)°=180° not (5x + 4)° (8x – 710°,
Simplifying
(5x + 4) + (8x + -71) = 180
Reorder the terms:
(4 + 5x) + (8x + -71) = 180
Remove parenthesis around (4 + 5x)
4 + 5x + (8x + -71) = 180
Reorder the terms:
4 + 5x + (-71 + 8x) = 180
Remove parenthesis around (-71 + 8x)
4 + 5x + -71 + 8x = 180
Reorder the terms:
4 + -71 + 5x + 8x = 180
Combine like terms: 4 + -71 = -67
-67 + 5x + 8x = 180
Combine like terms: 5x + 8x = 13x
-67 + 13x = 180
Solving
-67 + 13x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '67' to each side of the equation.
-67 + 67 + 13x = 180 + 67
Combine like terms: -67 + 67 = 0
0 + 13x = 180 + 67
13x = 180 + 67
Combine like terms: 180 + 67 = 247
13x = 247
Divide each side by '13'.
x = 19
Simplifying
x = 19
Yes if you convert the fractions to decimals you can convert it
