-1/3+(-5/2)=x that would be an equation
Answer:
X= 4
PQ= 8
QR= 8
Explanation:
As shown in the diagram, the line PR is made of the lines PQ and QR. Therefore, we can assume the equation PQ+QR=PR. When using the given values in the problem and substituting them in our equation, it becomes: 2X+4X-8=16 because PQ=2X, QR=4X-8, and PR=16. Here is how x is solved for:
2X+4X-8=16 (Original equation)
6X-8=16 (Simplify by adding 2X and 4X together)
6X=24 (Add 8 to both sides to isolate X)
X=4 (Divide both sides by 6, singling X out)
Referring back to how PQ=2X and QR=4X-8 we can solve for the each now that we know the value of X.
X=4
PQ= 2X= 2*4= 8
QR= 4X-8= 4(4)-8= 16-8=8
Additionally, we can check the answer by seeing if PQ and QR add to make the value of PR, which is given as 16. This proves to be correct as 8+8=16.
**Btw the diagram is not always going to look aligned to the values of the problem. Even though Q is not centered at the midpoint, PQ and QR are equal in value. Diagrams can be deceiving if not specified as to scale!**
Answer:
$32.50
Step-by-step explanation:
We have
f(x) = a(x – h)²<span> + k
we know the vertex v(5,3)
</span><span>substitute in the values for h and k
</span>f(x) = a(x – 5)²<span> + 3
</span><span>Use another point and substitute in values for x and f(x).
for the point (6,5)
</span><span>Solve for a.
5 = a(6 – 5)2 + 3-------------- > 5=a+3-------------> a=2
</span>
The function is f(x)=a(x – h)2 + k-------- > 2(x – 5)² + 3
f(x)= 2(x – 5)² + 3-------- > 2[x²-10x+25]+3=2x²-20x+50+3=2x²-20x+53
f(x)=2x²-20x+53
<span>
the answer is f(x)=</span> 2(x – 5)² + 3----------------- > (f(x)=2x²-20x+53)<span>
</span>