Exponent rule : a^-x = 1/a^x
x^-9 * x^-2 =
1/x^9 * 1/x^2 = (when multiplying exponents with same base, add exponents)
1/x^(9 + 2) =
1/x^11
9514 1404 393
Answer:
no
Step-by-step explanation:
A proportion is an equation saying two ratios are equal to each other.
One ratio is not a proportion.
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It would be a proportion if it were said to equal something:
2/7 = peanuts/popcorn . . . is a proportional expression
Answer:
D
Step-by-step explanation:
To obtain vertex form from the given equation use the method of completing the square
given 8y + x² = - y² - 181 + 26x
rearrange having the x terms and y terms together
add y² to both sides
8y + x² + y² = - 181 + 26x ( subtract 26x from both sides )
x² - 26x + y² + 8y = - 181
add (half the coefficient of the x/y terms )² to both sides
x² + 2(- 13)x + 169 +y² + 2(4)y + 16 = - 181 + 169 + 16
completing the square on both the x and y terms
(x - 13)² + (y + 4)² = 4 → D
To find the hypotenuse of a right triangle, you must use a^2 + b^2 = c^2
* keep in mind the hypotenuse MUST be larger than the legs.
The Pythagorean Theorem comes from making 2 squares from the lengths of each leg (that is why it is a^2 and b^2). The hypotenuse must be equal to the area of the two squares created.
