Answer:
The answer is: f(x) = -2x^2 - 4x + 30
Step-by-step explanation:
Given:
f(x)=-2(x-3)(x+5)
Solve (x-3)(x+5) first, then multiply by -2:
f(x) = -2[(x - 3)(x + 5)]
f(x) = -2[x^2 -3x + 5x - 15]
f(x) = -2[x^2 + 2x - 15]
f(x) = -2x^2 - 4x + 30
Hope this Helps!! Have an Awesome Day!! (-:
Answer:
EG is 19 units
Step-by-step explanation:
Let us solve the question
∵ Lines CD and EF intersected at point G
∴ CD = CG + GD
∴ EF = EG + GF
∵ Line EF bisects line CD
→ That means G is the midpoint of CD
∴ CG = GD
∵ CG = 5x -1
∵ GD = 7x - 13
→ Equate them to find x
∴ 7x - 13 = 5x -1
→ Add 13 to both sides
∴ 7x -13 + 13 = 5x - 1 + 13
∴ 7x = 5x + 12
→ Subtract 5x from both sides
∴ 7x - 5x = 5x - 5x + 12
∴ 2x = 12
→ Divide both sides by 2
∴ 
∴ x = 6
∵ EF = 6x - 4
→ Substitute x by 6 to find its length
∴ EF = 6(6) - 4 = 36 - 4
∴ EF = 32
∵ EF = EG + GF
∵ GF = 13
∴ 32 = EG + 13
→ Subtract 13 from both sides
∵ 32 - 13 = EG + 13 - 13
∴ 19 = EG
∴ EG = 19 units
Another way to prove triangles are similar is by SSS, side-side-side. If the measures of corresponding sides are known, then their proportionality can be calculated. If all three pairs are in proportion, then the triangles are similar.
So, plug in what you're given and solve
x is -2
(3x) * 9
(3 (-2)) * 9
-6 * 9
-54
then
27(-2)
-54
For the first it's the same
for the second
x is 0
(3x) * 9
(3 (0)) * 9
0 * 9
0
27x
27(0)
0
For the second it's the same
x is 4
(3x) * 9
(3(4)) * 9
12 * 9
108
27x
27(4)
108
The given expressions are equivalent. This was proved in the diagram.
Hope this helps :)
Step-by-step explanation:
a two -column proof for the following :
Given: angle1 and angle2 form a linear pair and m angle1= 2(m angle2)
Prove : m angle2 =60
10. Write a two-column proof for the following:
Given : AB
