Answer:
45.8
Step-by-step explanation:
Say the number Malachy was thinking of is <em>x</em>.
Doubling it gives 2x, which we see also equals 91.6. Set these equal to each other:
2x = 91.6
To solve, we divide both sides by 2 and get x = 45.8, which is our answer.
Answer:
D
Step-by-step explanation:
Perfect square trinomials can be written as (a + b)² = a² + 2ab + b². In this case, we know that a = x so we can write this as x² + 2bx + b². Since we know that 2bx = 24x we can conclude that b = 12, so that means b² = 12 * 12 = 144.
Answer:
y+7 = -3 ( x-4)
Step-by-step explanation:
First find two points on the graph to find the slope
( 1,2) and ( 3,-4)
The slope is given by
m = ( y2-y1)/(x2-x1)
m = ( -4-2)/(3-1)
= -6/2
=-3
We can use the point slope form
y - y1 = m(x-x1) where m is the slope and x1,y1 is a point on the line
We have two choices with a slope of -3
We can either use and x coordinate of -2 or 4
for -2, the y coordinate is not shown
for 4 , the y coordinate is -7
Using ( 4, -7) and m = -3
y--7 = -3( x- 4)
y+7 = -3 ( x-4)
Answer:
see below
Step-by-step explanation:

we need to simplify that

so we can continue

and we can put all together
