Answer:
Step-by-step explanation:
we will use first the distributive property and multiply
45+ 5a<110
subtract 45 from both sides
5a<110-45
5a<65 we divide by 5
a<13
Answer:
Base = x = 18ft
Height = x - 4 = 14ft
Step-by-step explanation:
The formula for the area of A the triangle is given by the following equation:
1) A = (base * heigth)/(2)
From this problem, we know that
base = x and that the height is 4ft less than the base, so height = base - 4 = x - 4.
We also know that the area is 126ft², so A = 126 ft². Now we can replace these informations in equation 1).
126 = (x(x-4))/2
x² - 4x = 252
x² -4x - 252 = 0
The roots of this equation are x = 18 or x = -14. But we know that a triangle cannot have negative dimensions, so we use x = 18.
The base is x, so base = 18ft.
Height is 4ft less than the base, so height equals 18-4 = 14ft
Hey there!
Question #1.
2^6 + (2^3)^3
= 64 + (8)^3
= 64 + 8^3
= 64 + 512
= 576
Therefore, the answer should be:
Option A. 576
Question #2.
11^-4 * 11^8
= 1/14,641 * 214,358,881
= 14,641
≈ 11^4
Therefore, the answer should be:
Option C. 11^4
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
That is a difference of two square numbers, we can factorize them easily:
<span>0 =-b^2 + 25
b^2 - 25 = 0
(b + 5)(b - 5) = 0</span>