g(x)=-2(x+3)^2
The -2 in front is the vertical stretch.
Also, because it is going 3 units to the left, you have to put the 3 on the inside and because it is left you do the opposite and it is +3.
Answer:
Option C.
Step-by-step explanation:
In △ONM and △SRQ,
We need to find the value of x that will make △ONM similar to △SRQ by the SAS similarity theorem.
According to SAS similarity theorem, two triangle are similar if two corresponding sides in both triangles are proportional and the included angle in both are congruent.
It is given that
. So, both triangles are similar by SAS if
Substitute the given values.
Divide both sides by 8.
Therefore, the correct option is C.
50
Step-by-step explanation:
Since AE is the bisector of angle BAC,so angle BAE and Angle CAE is equal. Here Angle CAE and Angle EAC is same.
therefore,
m(Angle BAE)=m(Angle EAC)

or, 2x=40
or, x=20
Hence,
m(Angle EAC)=

=

Answer:
Simplifying
(20m + 3) + -1(7m + -5) = 0
Reorder the terms:
(3 + 20m) + -1(7m + -5) = 0
Remove parenthesis around (3 + 20m)
3 + 20m + -1(7m + -5) = 0
Reorder the terms:
3 + 20m + -1(-5 + 7m) = 0
3 + 20m + (-5 * -1 + 7m * -1) = 0
3 + 20m + (5 + -7m) = 0
Reorder the terms:
3 + 5 + 20m + -7m = 0
Combine like terms: 3 + 5 = 8
8 + 20m + -7m = 0
Combine like terms: 20m + -7m = 13m
8 + 13m = 0
Solving
8 + 13m = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 13m = 0 + -8
Combine like terms: 8 + -8 = 0
0 + 13m = 0 + -8
13m = 0 + -8
Combine like terms: 0 + -8 = -8
13m = -8
Divide each side by '13'.
m = -0.6153846154
Simplifying
m = -0.6153846154Step-by-step explanation:
First we think of a 3 digit dividend for example 100.
Next we think of a divisor between 10 and 29 for example 20.
We divide 100÷20=5
Here's a division problem:
Sophia has 100 pencils. She has 20 boxes with the same number of pencils in them. How many pencils does Sophia put her box?
Divide 100 by 20 which equals 5
Your answer is 5