Answer:
A and C
Step-by-step explanation:
Just plug in the point into the equations:
a) 14 = 2(4.5) + 5
14 = 9 + 5 14 = 14 A is correct
b) 14 = 3(4.5) + 1.5
14 = 13.5 + 1.5 14 ≠ 15 B is not correct
c) 14 = 4(4.5) - 4
14 = 18 - 4 14 = 14 C is correct
d) is not correct 12 is already to large and 10 is not a negative so it is far to large
Answer:
Equation of the parabola is 
Step-by-step explanation:
We have to find the equation of a parabola with vertex is (-4,-3) and a directrix x=2.
As vertex is (-4,-3) that means parabola is in third quadrant.
So the standard formula of the parabola will be y²= -4px through origin (0,0).
But when a parabola is shifted from origin to the left of y axis so the equation will be (y-shifting form y axis)² = -4(distance between vertex and directrix)(x-shifting from x axis)
.
Answer:
a) To find the other missing length we must be given an area and a length
We then divide the total area by the given length
so
6534/99 = 66 is the missing width
Answer:
Step-by-step explanation:
First, we see that the center of the circle is (-12, 5) by taking the midpoint of the circle. Secondly, the length of diameter is 
.
Answer:
-10 > (-4x - 6) > -22
Step-by-step explanation:
Given inequality is 5 < 2x + 3 < 11
Now we will multiply this inequality by (-2) resulting,
5(-2) > (2x + 3)(-2) > 11(-2)
-10 > (-4x - 6) > -22 (Sign of inequality gets reversed when the inequality is multiplied or divided by a negative number)
Therefore, the possible range of (-4x - 6) is between -22 and -10.
