Answer:
-6634
Step-by-step explanation:
(5m)² - (2n-3m)³ if m=-3 and n=5
= (5 * (-3))^2 - (2 * 5 - 3 * (-3))^3
= (-15)^2 - (10 - (-9))^3
= 225 - (19)^3
= 225 - 6859
= -6634
1. The area of the full rectangle is 21 * 28 = 588. We will need this later.
Like you drew, there is an imaginary triangle missing. We can find the dimensions of it by subtracting from the given information. The shorter leg of it is 21 - 12 = 9, the longer leg is 28 - 14 = 14.
Now we find the area of the triangle. Area of a triangle is 1/2 * base * height. So 1/2 * 9 * 14 = 1/2 * 126 = 63.
Now we do the full area of 588 minus the area of the missing triangle piece.
588 - 63 = 525 ft²
2. Do the area of the rectangle and then this time add on the area of the triangle. 7 * 15 = 105. Area of the triangle = 1/2 * 2 * 7 = 1/2 * 14 = 7.
105 + 7 = 112 in²
Answer:
3 m^8
Step-by-step explanation:
We know that a^b / a^c = a^( b-c) so using the quotient rule for exponents
3 * m^( 7 - -1)
3 *m^(8)
Answer:
n=15
Step-by-step explanation:
5(n+1)=2n+20
U start by expanding the first term which will give you 5n+5
Then after that u collect like terms giving u
5n-2n=20-5
Finally u evaluate it giving u
n=15
Answer:
(x + 5)(3x + 5)
Step-by-step explanation:
(x - 5)(x + 8) + (x + 5)(2x - 3) ← factor out (x + 5) from each term
= (x + 5)(x + 8 + 2x - 3)
= (x + 5)(3x + 5)
