<span>Solution
m = {-13, -1}</span>
Answer:
2x + 1=13
Step-by-step explanation:
the product of a number and 2 (2x)
sum of 1 (+1)
is 13 (=13)
Problem One
Find AM
AM = 71.5 - 22 = 49.5
Step Two
State the Givens.
AM = 49.5
MN = 71.5
MB = x
MP = 97.5
Step Three
Set up the Proportion
AM : NM :: x : PM
49.5 : 71.5 :: x : 97.5
Substitute and solve
49.5 / 71.5 = x / 97.5 Cross Multiply
49.5 * 97.5 = 71.5 * x Combine the numbers on the left.
4860.375 = 71.5 * x Divide by 71.5
4860.375 / 71.5 = x
x = 67.98
Problem Two
Remark
This is just a straight application of the Pythagorean Theorem
a^2 + b^2 = c^2
a = 10
b = 24
c = ??
10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2
sqrt(c^2) = sqrt(676)
c = 26 <<<< answer
A of the yard= L*l=16*14= 224 feet²
A of the fountain= πR²
d=2R
4=2R
R=4:2=2
A of the fountain= 2²π=4 *3,14= 12,56 feet²
A of the grass portion= 224-12,56= 211,43 feet²
answer d)211,43 feet²