9514 1404 393
Answer:
3 1/8 inches
Step-by-step explanation:
For focus-vertex distance p, the equation of the parabola can be written ...
y = x^2/(4p)
Here, we have p=8. We want to find the value of y when x=10 (the radius of the dish). That is ...
y = (10^2)/(4·8) = 100/32 = 3 1/8
The dish is 3 1/8 inches deep.
Answer:
The equation for the amount of dollars pledged in total is f(M) = 2.00M + 7.25, and the amount for just Kiara is f(M) = 0.25M + 5.25
Step-by-step explanation:
The amount they pledge up front is a constant and therefore need to be added to the end of the equation. The amount per mile should be a variable amount. This gets multiplied by the M variable. So we start with the Kiara amount.
0.25 per mile = 0.25M
5.25 pledged = 5.25
Now put them together to get f(M) = 0.25M + 5.25
Do the same with Mark.
1.75 per mile = 1.75M
2.00 pledged = 2.00
Now put them together to get f(M) = 1.75M + 2.00
To get the final total, we add both equations together.
f(M) = 0.25M + 5.25 + 1.75M + 2.00
f(M) = 2.00M + 7.25
Answer:
y = 6
x = 2
Step-by-step explanation:
rearrange the first equation in terms of x
x = (y - 2)/2
substiute x in the second equation
y = -5[(y-2)/2] +16
Now simpilify and solve for y
y = (-5y + 10)/2 +16
y = -5/2y + 5 + 16
y + 5/2y = 5 + 16
3.5y = 21
y = 6
Now substitue y in the first equation to solve for x
x = (6 - 2)/2
x = 2
Bolts are usually classified in terms of two types of measurements: the metric system and the imperial system. In calipers, the metric system is in units of millimeters, while the imperial system is in units of inches. For example, when a bolt is sized as 12 × 1.25 in the metric system, that means the bolt thread diameter measures 12 mm, and the thread pitch measures 1.25 mm.
So, if your metric bolt measures 0.78 over the threads, that means that the
size of the bolt is 0.78 mm in thread pitch. The attached picture shows how you measure the thread pitch.
