Answer:
See below.
Step-by-step explanation:
Variables:
L = length
W = width
P = perimeter
Equations:
L = W + 13
P = 2(L + W)
P = 2(W + 13 + W)
2(W + 13 + W) = 226
2(2W + 13) = 226
2W + 13 = 113
2W = 100
W = 50
L = W + 13 = 50 + 13 = 63
The length is 63 cm, and the width is 50 cm.
Answer:
What is the GCF of 36 and 84?
Find the prime factorization of 36.
Find the prime factorization of 84. 84 = 2 × 2 × 3 × 7.
To find the GCF, multiply all the prime factors common to both numbers: Therefore, GCF = 2 × 2 × 3.
GCF = 12.
The common factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84. We can get all the factors using the prime factorization method.
Step-by-step explanation:
Answer:
The point (3, -3) is on the line.
Step-by-step explanation:
In order to find if it is a solution, input the numbers into the appropriate places in the equation.
y = -2x + 3
-3 = -2(3) + 3
-3 = -6 + 3
-3 = -3
Answer:
volume of the solid is 3.180
Step-by-step explanation:
given data
line x + y = 2
parabola x2 + y = 4
to find out
the volume of the solid
solution
we draw a graph between line and parabola as show in fig given below attach
line cut at (-1,3) and (2,0)
so the length of diameter is ( 4 - x²) - (2 - x)
and radius of this semi circle will be ( 4 - x² - 2 + x ) /2
radius = (-x² + x + 2 ) /2
and r(x) will be = (-x² + x + 2 ) /2
and A(x) will be = π ( r(x)² ) /2
we will integrate from -1 to 2
=
=
= 81π / 20
volume of the solid is 3.180