Answer:
dx/dt = 5√5/2
Step-by-step explanation:
Given:
dx/dt = 25 feet per second
According to Pythagoras theorem:
x² + 90² = y²
We know that x = 30 ft
So,
x² + 90² = y²
30² + 90² = y²
y = 30√10
So,
x² + 90² = y²
By taking differentiate:
2x dx/dt = 2y dy/dt
[x/y][dx/dt] = dy/dt
dx/dt = 5√5/2
The first thing you should know are properties of exponents to solve the problem.
For this case the radical form is given by the writing of the expression in the form of root.
We have then:
t^-3/4 =4^root(t^-3)=4^root ((1)/(t^3))
answer t^-3/4=4^root((1)/(t^3))
Answer:
no, h=7
Step-by-step explanation:
9+9h = 10h+2
9=h+2
7=h
If you would like to know what was his total pay last week, you can calculate this using the following steps:
a base salary ... $400.00
an additional 11% commission on everything Ben sells
11% of $6050.00 = 11% * 6050 = 11/100 * 6050 = $665.5
$400 + $665.5 = $1065.5
Result: His total pay was $1065.5.
Answer:
y=8x-67
Step-by-step explanation:
So the question is what is the equation for the following two coordinate points?
Well to start off what is the formula? The formula is called the linear equation. Which is y=mx+b. What does these letters or "variables" mean or represent?! Welp, m stands for the slope, which is "Δy over Δx." Some people call say "the change of y over x." I call it the rise over run. So it is saying y over x. The b in the linear equation is the y-intercept. The y-intercept is when the line crosses the y-axis.
With that being said, let's find the slope. But how? Well with the Δy over Δx. The formula is y₂-y₁ over x₂-x₁. With the two coordinate points we can label them.
y₂=5
y₁=(-11)
x₂=9
x₁= 7
Now let set it up into the equation of y over x
Slope = <u> 5- (-11) </u> = <u> 5 + 11 </u> = <u> 16 </u> = 8
9-7 9-7 2
So we now have the slope! Which is 8! So put that into the linear equation!
y=8x+b
Next, we need to find b, the y-intercept! How do we do that well, we can figure it out by one of the coordinate points! Let use the (7, -11) point for example! Remember, x= 7 and y= (-11)
(-11) = 8(7) + b
(-11) = 56 + b
<u>-56 -56</u>
-67 = b
We now have b, which is negative 67! So we need to put all the information we have found into the linear equation!
y=8x-67
