The system of equations can be used to determine whether the road intersects the boundary of the tower’s signal; y = 2( x - 4 )² + 2 and 5 x + 11 y = 62.
If a quadratic equation is written in the form
y = a(x-h)^2 + k
then it is called to be in vertex form.
It is called so because when you plot this equation's graph, you will see the vertex point is on (h,k).
To determine a quadratic function in vertex form:
y = a ( x - 4 )² + 2
4 = a ( 5 - 4 )² + 2
4 = a + 2
a = 2
y = 2 ( x - 4 )² + 2
Then we will determine a linear function in standard form, that passes through the points ( -3, 7 ) and ( 8, 2 ).
7 = -3 m + b
2 = 8 m + b / ·(-1)
7 = - 3 m + b
- 2 = - 8 m - b
5 = - 11 m
m = -5/11,
2 = -5/11 · 8 + b,
b= 2 + 40/11,
b = 62/11
Substitue,
y = - 5/11 x + 62/11 / ·11
11 y = - 5 x + 62
5 x + 11 y = 62
Finally the system of equations is:
y = 2( x - 4 )² + 2
5 x + 11 y = 62
Learn more about vertex form of a quadratic equation here:
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What is the measurement of angle X?
Enter your answer with number only, no symbols or words.
Y
Z
Domain: {3, 1, 9, 4}; Range: {5, 7, 11, 4, }
B.
Domain: {5, 7, 11, 4, }; Range: {3, 1, 9, 4}
C.
Domain: {5, 7, 11, 4, –2}; Range: {3, 1, –2, 9, 4}
D.
Domain: {3, 1, –2, 9, 4}; Range: {5, 7, 11, 4, –2}
Answer:
C
Domain: {5, 7, 11, 4, –2}; Range: {3, 1, –2, 9, 4}
Step-by-step explanation:
The domain is the X value or the independent in put.
Range is the Y values, or the Dependant input.
Hope this helps!
A.W.E.S.W.A.N