Answer:
x = 16/y
or
y =16/x
Step-by-step explanation:
31=xy+15
subtract 15 from both sides of the equation:
xy = 16
x = 16/y
or
y =16/x
Answer:
The distance the tornado traveled was approximately 205 miles.
Step-by-step explanation:
The equation representing the relationship between the wind speed (in miles per hour) and the distance the tornado travels (in miles) is:
![s=93\log d+65](https://tex.z-dn.net/?f=s%3D93%5Clog%20d%2B65)
Compute the value of <em>d</em> for <em>s</em> = 280 as follows:
![s=93\log d+65](https://tex.z-dn.net/?f=s%3D93%5Clog%20d%2B65)
![280=93\log d+65](https://tex.z-dn.net/?f=280%3D93%5Clog%20d%2B65)
![93\log d=280-65\\93\log d=215](https://tex.z-dn.net/?f=93%5Clog%20d%3D280-65%5C%5C93%5Clog%20d%3D215)
![\log d=2.312\\](https://tex.z-dn.net/?f=%5Clog%20d%3D2.312%5C%5C)
![d=10^{2.312}\\d=205.035\\d\approx 205](https://tex.z-dn.net/?f=d%3D10%5E%7B2.312%7D%5C%5Cd%3D205.035%5C%5Cd%5Capprox%20205)
Thus, the distance the tornado traveled was approximately 205 miles.
Answer:
C
Step-by-step explanation:
Answer:
Height should be ≤ 9 inches.
Step-by-step explanation:
Given:
Frank is making a pennant in the shape of a triangle for his senior class photo.
Base of triangle = 6 in
Area of triangle ≤ 27 ![in^2](https://tex.z-dn.net/?f=in%5E2)
Let height of the triangle be h
Now we now that,
Area of triangle = ![\frac{1}{2}\times base \times height](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20base%20%5Ctimes%20height)
![\frac{1}{2}\times 6 \times h \leq 27\\\\3h\leq 27\\\\h\leq \frac{27}{3}\\\\h\leq 9 \ in.](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctimes%206%20%5Ctimes%20h%20%5Cleq%2027%5C%5C%5C%5C3h%5Cleq%2027%5C%5C%5C%5Ch%5Cleq%20%5Cfrac%7B27%7D%7B3%7D%5C%5C%5C%5Ch%5Cleq%209%20%5C%20in.)
Hence the height of the triangle must be at most or ≤ 9 inches.
Answer:
y = -4/3 x - 1/3
Step-by-step explanation:
y = -4/3 x + b
5 = -4/3 (-4) + b
15 = 16 + 3b
b = -1/3
y = -4/3 x - 1/3