Answer : 96
x – y = 16 --------> equation 1
1/8 x + 1/2 y = 52
x is the higher grade and y is the lower grade
We solve the first equation for y
x - y = 16
-y = 16 -x ( divide each term by -1)
y = -16 + x
Now substitute y in second equation
1/8 x + 1/2 ( -16 + x ) = 52
1/8x - 8 + 1/2 x = 52
1/8x + 1/2x - 8 = 52
Take common denominator to combine fractions
1/8x + 4/8x -8 = 52
5/8x - 8 = 52
Add 8 on both sides
5/8x = 60
Multiply both sides by 8/5
x = 96
We know x is the higher grade
96 is the higher grade of Jose’s two tests.
Answer:
It’s 83 degrees
Step-by-step explanation:
180-97=83, it’s 180 because 180 is a supplementary angle.
Answer:
Rate of change: 
The initial value is 20
The equation: 
Step-by-step explanation:
Given
The attached table
Solving (a): The rate of change (m)
This is calculated as:
Where:
So:
Solving (b): The initial value
Here, we make use of point (0, y) to calculate the initial value:
Where
So:
Multiply both sides by 3
Solving (c): The equation
This is calculated using:
Where:
So, we have:
Answer:
34 and 11
Step-by-step explanation:
Answer: How to Find the Distance between Two Points on a Graph
1
Take the coordinates of two points you want to find the distance between.
2
Know the distance formula. This formula finds the length of a line that stretches between two...
3
Find the horizontal and vertical distance between the points.
4
Square both values. This means that you will square the x-axis distance (x2 - x1).
Step-by-step explanation:
