Answer:
<u>∗ = 0.4x³</u>
Step-by-step explanation:
(15y + ∗)² = 225y²+12x³y+0.16x⁶
<u>Note:</u>
225y² = 15y * 15y = (15y)²
12x³y = 2 * 15y * 0.4x³
0.16x⁶ = 0.4x³ * 0.4x³ = (0.4x³)²
So, by factoring the right hand side:
225y²+12x³y+0.16x⁶ = (15y + 0.4x³)²
By comparing the left hand side with (15y + 0.4x³)²
<u>So, ∗ should be replaced with the monomial 0.4x³</u>
Answer:

Step-by-step explanation:
Translating a function up is very simple, all you need to do here is add 8.
If you want to think of it logically,

the whole right side of the function here can be our output. If x is 8, then the output, or height, is also 8. if you wanted to translate that up to 10, you'd simply need to add 2 to it, meaning
. Then, at any given point on the function, it'd be 2 higher than it would be otherwise.
Answer:
16
Step-by-step explanation:
Area = perpendicular height * base
= DP * CB
= √[(2 - -1.2)^2 + (-5 - (-3.4)^ ] * √[(2 - 0)^2 + (3- -1)^2)]
= √(12.8.) * √(20)
= 16
=
Answer:
103
Step-by-step explanation: