Step-by-step explanation:
Starting with f(x)
f(x)
f(-x) ...... reflection in the y - axis
f(-x+2) ..... horizontal translation by 2 units in the negative x-direction
f(-x+2) + 6 ...... vertical translation by 6 units in the positive y-direction
4f(-x+2) + 6 ..... scaling (or dilation) by a factor of 4
-4f(-x+2) + 6 ..... reflection in the x-axis
Answer:
7
Step-by-step explanation:
Work with PEMDAS
(Subtracting a negative from a negative is the same thing as adding)
7-(-19)-18+(-19)+18
7-(-19)=26
-18+(-19)=-37
26-37+18= 7
Answer:
y= -11
Step-by-step explanation:
After rearranging equation 2, we get x= y+3/2
Sub it into equation 1
y= 3(y+3/2) + 1
y= 3y+9/2 + 1
y= 3y + 11 / 2
2y = 3y + 11
-y = 11
y = -11
Answer:
<em>B. 86 degrees</em>
Step-by-step explanation:
Given the following angles
m∠NOP = 24
m∠NOQ = 110
Required
m∠POQ
The following addition postulate is true for the angles
m∠NOQ = m∠NOP + m∠POQ
m∠POQ = m∠NOQ -m∠NOP
Substitute the angles given into the formula:
m∠POQ = 110 - 24
m∠POQ = 86°
<em>Hence the measure of angle POQ is 86 degrees</em>
200 flying insects she catch for her project .
<u>Step-by-step explanation:</u>
We have , Heather had to collect insects for her biology project. She was able to collect 225 total insects. She collected 8 times as many insects that could fly as insects that couldn't fly. That means insects ratio of non-fly to fly is 1:8 .
There are a total of 225 insects , and for every one non fly insect there are 8 fly insects , Let x be the number of insects that can't fly so:
⇒
⇒ 
⇒ 
⇒ 
⇒ 
So , Number of fly insects = 8x = 8(25) = 200 . ∴ 200 flying insects she catch for her project .
