Answer:
- y1 = -x +5
- y2 = 2x +14
- (x, y) = (-3, 8)
Step-by-step explanation:
We notice that x=0 is halfway between x = -1 and x = 1, so the corresponding y-intercepts will be ...
for y1, (6+4)/2 = 5
for y2, (12+16)/2 = 14
Each step in x is +2. The steps in y1 are -2, so the slope is -2/2 = -1.
The steps in y2 are +4, so the slope is 4/2 = 2.
Now, we have the slopes and intercepts, so we can write the system of equations as ...
y1 = -x +5
y2 = 2x +14
__
The y-values are shown as equal in the table for x=-3, so the solution of the system of equations is ...
(x, y) = (-3, 8)
Answer:
Step-by-step explanation:
Given
Solving (a): In vertex form
The vertex form of an equation is:
To do this, we make use of completing the square method.
We have:
------------------------------------------------------------------
Take the coefficient of x (i.e. -6)
Divide by 2; -6/2 = -3
Square it: (-3)^2 = 9
Add and subtract the result to the equation
------------------------------------------------------------------
Factorize
Factor out x - 3
Express as squares
Hence, the vertex form of is:
Solving (b): State the coordinates of the vertex.
In ; the vertex is: (h,k)
The vertex of will be
Answer:
9.6
Step-by-step explanation:
First you figure out that the shadow is 2.5 times larger than what is casting it. Then you divide 24 by 2.5.
Answer:
it should be b
Step-by-step explanation:
Answer:
(x-6)(2x+2)
Step-by-step explanation:
2x^2 + 2x - 12
by using splitting method
2x^2 - 12x + 2x -12
taking separate common from both pairs
2x(x - 6) + 2(x - 6)
(x - 6)(2x + 2)