Answer:
The answer to your question is: 5⁵
Step-by-step explanation
5³ x 25
First, find the prime factors of 25
25 5
5 5
1 so, 25 = 5 x 5 or 5²
5³ x 5² Remeber that final power is the sum of the powers
5⁵ Finally
Answer:
y = 40°
Step-by-step explanation:
The triangle in the picture is an isosceles triangle because of the markings on the side (they show that two sides are congruent).
An isosceles triangle not only have a pair of congruent sides, but also have a pair of congruent angles.
So,
5x = 40
Solve for x,
x = 40 ÷ 5
x = 8
5x = 40
5(8) = 40
40 = 40
Now we know the two angles. We then find the last angle containing y.
We know that the total angle measurement of the triangle is 180°.
Set up the equation,
40 + 40 + 2y + 20 = 180
Solve for y,
80 + 2y + 20 = 180
100 + 2y = 180
2y = 180 - 100
2y = 80
y = 80 ÷ 2
y = 40°
Answer:
$31.25
Step-by-step explanation:
divide 125 by 4
hope this helps you!!! also good luck!!!!
Answer:
I(x) = 12x² + 8x + 5
Step-by-step explanation:
* Lets talk about the solution
- P(x) is a quadratic function represented graphically by a parabola
- The general form of the quadratic function is f(x) = ax² + bx + c,
where a is the coefficient of x² and b is the coefficient of x and c is
the y-intercept
- To find I(x) from P(x) change each x in P by 2x
∵ P(x) is dilated to I(x) by change x by 2x
∵ I(x) = P(2x)
∵ P(x) = 3x² + 4x + 5
∴ I(x) = 3(2x)² + 4(2x) + 5 ⇒ simplify
∵ (2x)² = (2)² × (x)² = 4 × x² = 4x²
∵ 4(2x) = 8x
∴ I(x) = 3(4x²) + 8x + 5
∵ 3(4x²) = 12x²
∴ I(x) = 12x² + 8x + 5
Answer:
22 feet per second
Step-by-step explanation:
Hope this helps and have a wonderful day!!!