Find the cube root of each factor: cube root of 54 times cube root of x^4 times cube root of y^6. That would be cube root of 27 times cube root of 3 times x times cube root of x times y^2. Can you finish this?
Any questions?
First, distribute to cancel out brackets
= m-n+p-2m+2p-3n-n+m-2p
Collect like terms
= -5n+p
Your answer: -5n + p
Hope this helped :)
Answer:
x = 16
Step-by-step explanation:
(x+2) + (7x+2) + (3x) = 180
<em>Add like terms</em>
7x + x + 3x = 11x
2 + 2 = 4
11x + 4 = 180
<em>Subtract 4</em>
11x + 4 = 180
11x = 176
<em>Divide by 11</em>
11x = 176
x = 16
If by "long leg lengths" you mean the hypotenuse then the area is 116 sq. units. If you mean the bases of the triangles then the area is 170 sq. units.
If the length of 12 is the hypotenuse, we first must find the base of the triangles using the Pythagorean theorem:
10² + b² = 12²
100 + b² = 144
b² = 44
b = √44 = 6.6
This means we have two triangles and a rectangle. The area of the rectangle is 5(10) = 50 sq. units. The area of each triangle is 1/2(6.6)(10) = 33. Adding all 3 together we have:
50+33+33 = 116 sq. units.
If the 12 is the base, then we have the rectangle with the area of 5(10) = 50 and two triangles each with an area of 1/2(12)(10) = 60:
50+60+60 = 170 sq. units.
Given:
Jada traveled 135 miles in 3 hours.
Andre traveled 228 miles in 6 hours. Both Jada and Andre traveled at a constant speed.
To find:
How far did Jada travel in 1 hour?
Solution:
We have,
Distance traveled by Jada in 3 hours = 135 miles
Then,
Distance traveled by Jada in 1 hour =
miles
= 45 miles
Therefore, Jada travel 45 miles in 1 hour.