Answer:
Step-by-step explanation:
using pt-slope form, we get 
. Using the Distributive Property and Addition Propert of Equality, we can simplify this equation into 
by factoring -5/4 into (x-4) and subtracting 9 from both sides.
Answer:3.6 + 4.8 > 6
Step-by-step explanation:
Answer:
The perimeter and area of the square are 56 units and 196 square units, respectively.
Step-by-step explanation:
The inner right triangle represents a 45-45-90 right triangle, which has the feature of a hypotenuse whose length is 
time the length of any of its legs. If the hypotenuse has a measure of 
, then the legs of the triangle have a measure of 
.
Now, we are aware that the side length of the square is twice the length of the leg of the right triangle. Then, side length of the square is 14 units long.
Lastly, we know from Geometry that the perimeter and area of the square are represented by the following expressions:
Perimeter
(1)
Area
(2)
Where 
is the side length of the square.
If we know that 
, then the perimeter and area of the square are, respectively:
The perimeter and area of the square are 56 units and 196 square units, respectively.
Answer: 1/2
Step-by-step explanation:
The question is for us to calculate the amount of juice that's left.
We are told that Luna mixes 3/4 of orange juice and 3/8 of cranberry juice. The amount of juice mixed will be:
= 3/4 + 3/8
= 6/8 + 3/8
= 9/8
= 1 1/8
We are then told that she gave Mags 5/8 cup of juice. The amount of juice that's then left will be:
= 1 1/8 - 5/8
= 4/8
= 1/2
1/2 cup of juice will be left
Brittney was tracking the increasing temperature in the morning, it was 68 degrees fahrenheit at 8 a.m., and 74 degrees fahrenheit at 10 a.m. If Brittany made the function f(x) = 3x + 36, the number '36' would represent the temperature at midnight.
