Step-by-step explanation:
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Point a is at (-2,4) => (x1,y1)
Midpoint is (2.5, 3.5) => (a,b)
Point B is (x2, y2)
To find midpoint we use formula
a= 2.5, b= 3.5, x1= -2 and y1= 4
Plug in all the values and findout x2, y2
multiply 2 on both sides to remove fraction
(5 = -2+x2 , 7 = 4+ y2)
5 = -2+x2, so x2= 7
7 = 4+ y2, so y2= 3
The point B is ( 7, 3)
Answer:
As x decreases without bound, f(x) increases without bound
As x increases without bound, f(x) approaches 0
Step-by-step explanation:
As x gets more and more negative f(x) gets bigger and bigger
f(x) = (7/10) ^ x but x is negative so flip it and then x is a larger number
(10/7) ^ large number so it will get larger
as → -∞ f(x) →∞
As x gets more and more positive f(x) gets smaller and smaller
f(x) = (7/10) ^ x closer and closer to 0. The denominator gets larger faster than the numerator = 1 / large number
as → ∞ f(x) →0
Answer:
We conclude that (4, 2) is NOT a solution to the system of equations.
Step-by-step explanation:
Given the system of equations
Important Tip:
- In order to determine whether (4, 2) is a solution to the system of equations or not, we need to solve the system of equations.
Let us solve the system of equations using the elimination method.
Arrange equation variables for elimination
Subtract the equations
Now, solve -2x = 6 for x
Divide both sides by -2
Simplify
For y - x = -2 plug in x = -3
Subtract 3 from both sides
Simplify
The solution to the system of equations is:
(x, y) = (-3, -5)
Checking the graph
From the graph, it is also clear that (4, 2) is NOT a solution to the system of equations because (-3, -5) is the only solution as we have found earlier.
Therefore, we conclude that (4, 2) is NOT a solution to the system of equations.
Answer:
<u>D.108</u> is correct.
Step-by-step explanation:
6*3 = 18
18*4 = 72
6*6 = 32
72 + 32 = 108
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