Answer:
A) 
Step-by-step explanation:
Hi there!
The given equations are written in point-slope form: 
where <em>m</em> is the slope of the line and 
is a point that falls on the line
Notice how the line is travelling infinitely down as x increases. This means that the slope is negative.
Therefore, the equation of the line is either A or B.
Now, let's look at A:
This equation suggests that the point (4,-7) falls on the line, which it does.
Therefore, the equation of the graph is .
I hope this helps!
Answer:
Correct option is (C).
Step-by-step explanation:
Because in figure,
°.°point B is fixed at plane.
.°.Center is B.
& °.° Image is enlargement.
.°. scale factor will be greater than 1
Now,
scale factor = A'B'/AB
= 24/6
= 3
So correct option is (C).
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Answer:
vertex = (- 10, - 10 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
h(x) = x² + 20x + 90
add/subtract ( half the coefficient of the x- term )²
h(x) = x² + 2(10)x + 100 - 100 + 90
= (x + 10)² - 10 ← in vertex form
with (h, k ) = (- 10, - 10 )
