Answer:
<h2>Length = 13 in.
</h2>
Step-by-step explanation:
perimeter of a rectangle (P) = 2L + 2W
where;
P = 42 in.
Length (L) = 5 + W
Find:
length (L) of the rectangle
solution:
P = 2L + 2W
42 = 2(5 + W) + 2W
42 = 10 + 2W + 2W
42 - 10 = 4W
32 = 4W
W = 32/4
W = 8
Length (L) = 5 + W
= 5 + 8
= 13 in
proof:
42 = 2(13) + 2(8)
42 = 42 in
Answer:
12a + 24 = 6(2a + 4) is the equivalent expressions
Step-by-step explanation:
Given the terms ; 4, 12a, 6, 2a, and 24
There are two terms with unknown = 12a and 2a
but 12a = 2a x 6 .........(1)
from the last term = 24 = 6 x 4 ...........(2)
add both equation 1 and 2 = 12a + 24
12a + 24 = 6(2a + 4) is the equivalent expressions .
to VERIFY; Use a = 2
substitute into the expression ; LHS = RHS
= 12(2) + 24 = 24 + 24 = 48 (LHS)
FOR RHS = 6(2a+4) = 6(2x2 + 4)
= 6(4+4) = 48
Hence LHS = RHS
Answer:
(1.5,-2.6)
Step-by-step explanation:
Given the polar coordinates (-3,60°).
Let our Cartesian coordinates be (x,y)
#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:

#Using the illustration above, we can express our polar coordinates as:

#Solve simultaneously to solve for x and y:

Hence, the Cartesian coordinates are (1.5,-2.6)
Answer:
n = 12.89
Step-by-step explanation:
Add 9.02 + 3.87
Lemme just say this real quick, Ratio