Answer: 8 : 6
Step-by-step explanation:
Answer:
B=9
Step-by-step explanation:
b+4=2b-5
b-2b+4=-5
b-2b=-5-4
-b=-5-4
-b=-9
b=9
Answer:
![f(x) = x(x - 1)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%28x%20-%201%29)
Step-by-step explanation:
The inverse of a quadratic function is not a function.
9*13=117
12*16=192
We increased three meters to both the length and width of the garden.
Answer:
![\large\boxed{PS=10\sqrt5}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7BPS%3D10%5Csqrt5%7D)
Step-by-step explanation:
ΔPQS, ΔRQP and ΔRPS are similar (AA). Therefore the sides are in proportion:
![\dfrac{QR}{RP}=\dfrac{RP}{RS}](https://tex.z-dn.net/?f=%5Cdfrac%7BQR%7D%7BRP%7D%3D%5Cdfrac%7BRP%7D%7BRS%7D)
We have:
![QR=5,\ RS=20](https://tex.z-dn.net/?f=QR%3D5%2C%5C%20RS%3D20)
Substitute:
<em>cross multiply</em>
![RP^2=(5)(20)\\\\RP^2=100\to RP=\sqrt{100}\\\\RP=10](https://tex.z-dn.net/?f=RP%5E2%3D%285%29%2820%29%5C%5C%5C%5CRP%5E2%3D100%5Cto%20RP%3D%5Csqrt%7B100%7D%5C%5C%5C%5CRP%3D10)
Use the Pythagorean theorem:
![PS^2=PR^2+RS^2](https://tex.z-dn.net/?f=PS%5E2%3DPR%5E2%2BRS%5E2)
Substitute:
![PS^2=10^2+20^2\\\\PS^2=100+400\\\\PS^2=500\to PS=\sqrt{500}\\\\PS=\sqrt{100\cdot5}\\\\PS=\sqrt{100}\cdot\sqrt5\\\\PS=10\sqrt5](https://tex.z-dn.net/?f=PS%5E2%3D10%5E2%2B20%5E2%5C%5C%5C%5CPS%5E2%3D100%2B400%5C%5C%5C%5CPS%5E2%3D500%5Cto%20PS%3D%5Csqrt%7B500%7D%5C%5C%5C%5CPS%3D%5Csqrt%7B100%5Ccdot5%7D%5C%5C%5C%5CPS%3D%5Csqrt%7B100%7D%5Ccdot%5Csqrt5%5C%5C%5C%5CPS%3D10%5Csqrt5)