Answer:
Games played= 21 games
Step-by-step explanation:
Giving the following information:
Peyton's field hockey team wins 4 games out of every 7 games played.
We know that Peyton's team loses 3 games out of 7.
So if the team lost 9 games, the proportion is completed 3 times.
Games played= 3*7= 21 games
Answer:
A. -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸
Step-by-step explanation:
Given:
(2x⁵ + 3y⁴)(-4x² + 9y⁴)
Required:
Find an equivalent polynomial
Solution:
(2x⁵ + 3y⁴)(-4x² + 9y⁴)
Using distributive property of multiplication
2x⁵(-4x² + 9y⁴) + 3y⁴(-4x² + 9y⁴)
-8x⁷ + 18x⁵y⁴ - 12x²y⁴ + 27y⁸
There are no like terms to add or combine, therefore:
(2x⁵ + 3y⁴)(-4x² + 9y⁴) = -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸
Answer:
x is 13.03
Step-by-step explanation:
Start by determining the length of the horizontal side of one of the triangles shown. The Pythagorean Theorem applies here:
(horizontal side)² + 17² = 19², so that:
(horizontal side)² + 17² = 19² - 17², or 72
Then the length of the horizontal side is +√72, or √36√2, or 6√2.
From the diagram it is obvious that the width of the rectangle, x, can be found by subtracting twice the length of the horizontal side of one of the triangles from 31 (base of the entire figure):
x = 31 - 2(6√2) = 13.03
x is 13.03
4920 milliliter so because there is 1000 millimeters in 1 meter.