The given options are:
- (A)x+y = 20
- (B)7 apps and 14 movies
- (C)x-y= 20
- (D)y=-x+ 20
- (E)8 apps and 12 movies
- (F)xy= 20
Answer:
- (A)x+y = 20
- (D)y=-x+ 20
- (E)8 apps and 12 movies
Step-by-step explanation:
If Elizabeth has a combined total of 20 apps and movies.
Where:
Number of apps=x
Number of Movies =y
Then:
Their total,
If we subtract x from both sides
x+y-x=-x+20
In Option E
8 apps and 12 movies add up to 20. Therefore, this could also apply.
Volume of a pyramid is calculated by L×W×H÷3. Which means 81× 10× 10 ÷ 3
81 × 10 × 10 = 8100 ÷ 3
So the answer is 2700.
Answer:
She made an error when using the zero pair.
Step-by-step explanation:
In step 2, Carianne added 4 to the right side and subtracted 4 on the left side, which is completely changing the equation. By definition, your zero pair must have a difference of zero. She need to add 4 to both sides to continue; when manipulating algebra you need to do the same thing to both sides of an equation, otherwise you're just changing the equation.
Answer: the other two sides are 5 feet and 12 feet
Step-by-step explanation:
Length of one side be x , that means the other side is x + 7
by Pythagoras theorem:
+
= 
expanding , we have:
+
+ 14x + 49 = 169
+ 14x + 49 - 169 = 0
+ 14x - 120 = 0
divide through by 2 , we have
+ 7x - 60 = 0
By factorizing , we have
(x - 5)(x+12) = 0
Therefore:
x = 5 or x = -12
Since , the side can not be negative , so
x = 5
That means the other side will be 5+ 7 = 12
The equation for a circle with a center (-2, 8) and a radius of 9 will be (x + 2)² + (y − 8)² = 81.
<h3>What is an equation of a circle?</h3>
A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x - h)² + (y - k)² = r²
Write an equation for a circle with a center (-2, 8) and a radius of 9.
Then the equation will be
(x + 2)² + (y − 8)² = 9²
(x + 2)² + (y − 8)² = 81
Learn more about the equation of a circle here:
brainly.com/question/10165274
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