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
She’s drinking 96 fluid ounces a day, and there’s 8 fluid ounces in a cup so she’s drinking 12 cups of water in a day
Answer: y=-.667x+1
Step-by-step explanation:
1. Firstly, substitute the coordinates of the two points into the slope intercept equation:
(1) y₁ = mx₁ + b
(2) y₂ = mx₂ + b
2. Then, subtract the first equation from the second:
y₂ - y₁ = m(x₂ - x₁)
3. Finally, divide both sides of the equation by (x₂ - x₁) to find the slope:
m = (y₂ - y₁)/(x₂ - x₁)
4. Once you have found the slope, you can substitute it into the first or second equation to find the y-intercept:
y₁ = x₁(y₂ - y₁)/(x₂ - x₁) + b
b = y₁ - x₁(y₂ - y₁)/(x₂ - x₁)
Answer:
It 10 more
Step-by-step explanation:
Because
Answer:
180
Step-by-step explanation:
The square root of the number 180 would render the simplified radical expression:
We start by factoring completely the number 180: