Answer:
(-1,-6)
Step-by-step explanation:


(Replaced x in f with (x-2))
(Used
and distributive property)
(Gathered like terms)
(Simplified)
The vertex of a parabola occurs at
.
Let's find
first.

Now we can obtain
which is
in this case:




.
The vertex is (-1,-6).
Answer:
S'(5,-1), M'(1,-3)
Step-by-step explanation:
So, if the rotation is clockwise, the formula is (x,y)--->(-x,-y).
The original points are, (-1,3) and (-5,1).
Using the formula,
(-1,3) ----> (1,-3)
(-5,1) ----> (5,-1)
For the question in the image, the reflection over the x-axis is..
S'(-5,1) ---> (-5,-1)
M'(1,-3) ---> (-1,-3)
To get the solution we are looking for we need to point out what we know.
1. We assume that 55 is 100% because its the output value of the task.
2. We assume that the x is the value we are looking for.
3. If 100% = 55 so we can write it down as 100%=55
4. We know that x% = 44 of the output value so we can write it as x%=44.
5. Now we have two simple equations: 1) 100%=55 2) x%=44 where left sides of both of them have the same units and both right sides have the same units so we can do something like that 100%/x%=55/44.
6. Now we just have to solve the simple equation and we will get the answer.
7. Solution for 44 is what percent of 55 100%/x%=55/44 (100/x)*x=(55/44)*x we multiply both sides of the equation by x 100= 1.25*x we divide both sides of the equation by (1.25) to get x 100/1.25=x 80=x now we have: 44 is 80% of 55!
Quick answer = 44 is 80% of 55
Hope this helps! ;D
Answer:
Karen had 45 m and m's candy.
Step-by-step explanation:
Let the number of m and m's candy be 'x'.
Now given:
Karen gave an equal amount of m and m's to herself and four friends.
So we can say that;
Number of people m and m's candy distributed equally = 5
Also Given:
Each person receives m and m's equivalent to the largest one digit number.
Now we know that;
Largest one digit number is 9.
So we can say that;
Each person receives m and m's = 9
We need to find number of m and m's Karen have.
Solution:
So we can say that;
Total number of m and m's Karen have is equal to Number of people m and m's candy distributed equally multiplied by number of m and m's can each person receives.
framing in equation form we get;
Total number of m and m's Karen had = 
Hence Karen had 45 m and m's candy.
Given:
The figure of a rhombus QRST.
To find:
A. The value of x.
B. The measure of angle RQP.
Solution:
A. We need to find the value of x.
We know that the diagonals of a rhombus are perpendicular bisectors. It means the angles on the intersection of diagonals are right angles.
[Right angle]
Divide both sides by 5.
Therefore, the value of x is 15.
B. We need to find the measure of angle RQP.
From the given figure, it is clear that

Putting
, we get



Therefore, the measure of angle RQP is 33 degrees.