Every angle of a square equals 90 degrees.
2x - 4 = 90 3y + 6 = 90
2x = 90 + 4 3y = 90 - 6
2x = 94 3y = 84
x = 94/2 y = 84/3
x = 47 y = 28
so x = 47 and y = 28
Answer:
Do it by yourself!!
Step-by-step explanation:
This is not homework it is your test so you should do it by yourself!!
3 1/2 pound = 7/2 pounds.
We know that the dog eats 7/2 (3.5) pounds every 21 days since there are 7 days in a week and Mr.Z only buys dog food every 3 weeks.
Set up a proportion. <u>3.5 lb</u> = <u> x </u><u>
</u> 21 days 365 days
<u>
</u>Cross multiply and divide. 3.5 lb x 365 days = 1277.5 / 21 days = 60.83 lb
<u>
</u>
Answer:
Time = 3secs
Max height = 56m
Step-by-step explanation:
Given the height reached by the rocket modeled by the equation;
h(x) = -5(x - 3)² + 56 where;
x is in seconds
The rocket velocity at its maximum height is zero.
Hence dh/dx = 0
dh/dx = 2(-5)(x-3)
dh/dx = -10(x-3)
Since dh/dx = 0
0 = -10(x-3)
0 = -10x + 30
10x = 30
x = 3secs
<em>Hence it takes 3 secs to reach the maximum height.</em>
Get the maximum height reached by the rocket. Substitute x = 3 into the equation given;
Recall that:
h(x) = -5(x - 3)² + 56
If x = 3
h(3) = -5(3 - 3)² + 56
h(3) = 0 + 56
h(3) = 56
<em>Hence the maximum height that the rocket reaches is 56m</em>
Answer:
The answer to your question is 3
Step-by-step explanation:
Expression
3⁴ + 9² / 3³ - 9²
1.- Do the division
3⁴ + (9² / 3³) - 9²
Use law of exponents
3⁴ + (3⁴ / 3³) - 9²
3⁴ + 3⁴⁻³ - 9²
Simplify
3⁴ + 3 - 9²
2.- Convert 9² to base 3
3⁴ + 3 - 3⁴
3.- Simplify (associative property)
( 3⁴ - 3⁴ ) + 3
4.- Result
3
