Since E is the midpoint, DE and EF are the same length.
Set the equation DE and EF equal to each other and solve for x.
2x + 4 = 3x - 1
x = 5
Then plug in 5 to find the length.
DE = 2(5) + 4 = 14
EF = 3(5) - 1 = 14
DF = DE + EF = 28
Answer:
72
Step-by-step explanation:
68 69 71 71 71 73 74 75 75 78 and then cross off each number until you reach the middle. You will see 71 and 73 next to each other, what's in-between those two numbers? 72!
Answer:
Plot (-9,5) then you do rise over run and go down 2 and to the right 3
Step-by-step explanation:
So your points would be (-9,5) and(-6,3)
Answer:
Option (c) is correct.
Step-by-step explanation:
Given equation is :

The equation can be solved for a as follows :
Step 1.
Cross multiply the given equation

Step 2.
Now subtract b on both sides
3s-b = a+b+c-b
3s-b = a+c
Step 3.
Subtract c on both sides
3s-b-c=a+c-c
⇒ a=3s-b-c
The statement that is true for Darpana is " In step 3, she needed to subtract c rather than divide".
First, convert the equation to the standard equation of a parabola.
-1/4(y+4)=(x-3)^2 ---multiply -4 on both sides
y+4=-4(x-3)^2 ---subtract 4 on both sides
y=-4(x-3)^2-4
From the equation, we know that the parabola was moved by 3 to the right, because of (x-3)^2. So the axis of symmetry is x=3. Now look at the number in front of (x-3)^2. It is -4. Since it is negative, the parabola opens downwards.