A. This is the original equation: 2x + 3 - 1 = x + 5
b. 2x + 2 = x + 5 ← combined like terms on left side
2x + 2 - 2 = x + 5 - 2 ← used inverse operation to collect constants on right side
2x = x + 3 ←simplified each side
2x - x = x - x + 3 ←used inverse operation to collect variable terms on left side
x = 3 ← simplified each side
answer x = 3
c. 2(3) + 3 - 1 = 3 + 5
6 + 3 - 1 = 8
9 - 1 = 8
8 = 8
So here we use the pythagorean theorem which is a2 + b2 = c2 (“a” squared times “b” squared equals “c” squared) the length from calvins house to the intersection is “a” and the length from phoebes house to the intersection is “b” so in order to find out the length of “c” (calvins house to phoebes house) we need to use the pythagorean theorem
a2 275x275=75,625
b2 113x113 = 12,769
so now that we have figured out what a2 and b2 are let’s add them
75,625 + 12,769 = 88,394
now since we only need to find out the length and not the area we need to find the square root of 88,394
the square root of 88,394 is 297.311 (i cut off the decimal after three places)
the direct length from phoebes house to calvins is 297.311 meters
Answer:
-10
Step-by-step explanation:
= -X - XY
= -2 - 2×4
= -2 - 8
= -10
therefore, -X - XY = -10
Let the length of the rectangle to be a value,
x.
Since you are told that the length is 4 feet shorter than width, then, this can only mean that
width =
(x+4)
The area of a rectangle
= length × width. = x(x+4) = 42
=x² + 4x=42
From here form the quadratic equation then solve it to get the value of
x (length of the rectangle)
x²+4x-42=0
Using the quadratic formula,
x = -4 + or - (√(16-4×1×-42))÷2
At this point I had a problem with inserting an equation in this platform. So, i have done it have attached a file that explains the above statement. Kindly find it in the attachment below.
x = (-4+or - 13.56)÷2
= 9.56÷2
=4.78 feet
The length to the nearest foot =
5 feet.
The width to the nearest foot =
5+4 = 9 feet.
