What is the slope of a line that is perpendicular to the line shown on the graph?

Y varies directly with x and y = 12 when x =5 what is the value of y when x = 8

torisob [31]

Y and x are directly proportional, as stated by hypothesis. Let's use the rule of three to find y when x = 8.

x=5 --> y=12
x=8 --> y=?

? = (8*12)/5 = 96/5 = 19.2

So y directly varies with x, and y=12 when x = 5, then y=19.2 when x=8.

Hope this Helps! :D

3 0

3 years ago

At the start of a mission, international spy James withdrew $5,000 in Cairo. In Istanbul, he withdrew half of the remaining mone

lord [1]

Answer:

Initial Amount at the start of the mission $=\$20000$

Step-by-step explanation:

Let initial amount $=x$

In Cario James withdrew $\$5000$ .

Remaining Amount $=x-5000$

In Instanbul he with drew half of the remaining amount so half of the remaining amount will be left.

$\frac{1}{2}\times(x-5000)=7500\\\\x-5000=15000\\\\x=20000$

8 0

3 years ago

If f(x) = 2x+7 and g(x) = -3x+5, what is f(g(1))?

Murrr4er [49]

Answer:

$f(g(1))=11$

Step-by-step explanation:

So we have the two functions:

$f(x)=2x+7\text{ and } g(x)=-3x+5$

And we want to find f(g(1)).

So, let's find g(1) first:

$g(x)=-3x+5$

Substitute 1 for x:

$g(1)=-3(1)+5$

Simplify:

$g(1)=-3+5$

Add:

$g(1)=2$

So:

$f(g(1))=f(2)$

Now, substitute 2 for x in f(x):

$f(x)=2x+7\\f(2)=2(2)+7$

Multiply:

$f(2)=4+7$

Add:

$f(2)=11$

So:

$f(g(1))=11$

8 0

3 years ago

Casandra is calculating how much interest she will earn in investments that are eating simple interests. She knows that simple i

Zinaida [17]

Answer:

Principal = $500

Interest = $37.50

Rate = 0.025 = 2.5%

Time = 3 years

Step-by-step explanation:

The formula for simple interest is I = PRT ÷ 100

Casandra's equation = I= 500(0.025)(3)=$37.50

Principal = $500

Interest = $37.50

Rate = 0.025 = 2.5%

Time = 3 years

3 0

3 years ago

Suppose that the derivable functions x=x(t) and y=y(t) satisfy xcosy=2.

ololo11 [35]

Applying implicit differentiation, it is found that dy/dt when y=π/4 is of:

a-) -√2 / 2.

<h3>What is implicit differentiation?</h3>

Implicit differentiation is when we find the derivative of a function relative to a variable that is not in the definition of the function.

In this problem, the function is:

xcos(y) = 2.

The derivative is relative to t, applying the product rule, as follows:

$\cos{y}\frac{dx}{dt} - x\sin{y}\frac{dy}{dt} = 0$

$\frac{dy}{dt} = \frac{\cos{y}\frac{dx}{dt}}{x\sin{y}}$

Since dx/dt=−2, we have that:

$\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}$

When y = π/4, x is given by:

xcos(y) = 2.

$x = \frac{2}{\cos{\frac{\pi}{4}}} = \frac{2}{\frac{\sqrt{2}}{2}} = \frac{4}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 2\sqrt{2}$

Hence:

$\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}$

$\frac{dy}{dt} = -\frac{1}{\sqrt{2}}\cot{y}$

Since cot(pi/4) = 1, we have that:

$\frac{dy}{dt} = -\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = -\frac{\sqrt{2}}{2}$

Which means that option a is correct.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

4 0

1 year ago

What is the slope of a line that is perpendicular to the line shown on the graph?​

What is the slope of a line that is perpendicular to the line shown on the graph?