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skelet666 [1.2K]

3 years ago

6

Write the equation of the line perpendicular to the line y = -5/7x + 12/7 and containing the point (5,2). Write your answer in s

lope-intercept form.

1 answer:

Nutka1998 [239]3 years ago

8 0

Answer:

y = 7x/5 - 5

Step-by-step explanation:

m = 7/5

y - 2 = 7/5(x - 5)

y - 2 = 7x/5 - 7

y = 7x/5 - 5

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I need to solve these two equations using either substitution or elimination

vitfil [10]

Answer:

y = -15

x = -10

Step-by-step explanation:

1/4x - 1/2 = 5 (1)

3x + 2/3y = -40 (2)

Multiply (1) by 4

1/4x - 1/2 = 5

1/4x * 4 - 1/2y * 4 = 5 * 4

4/4x - 4/2y = 20

x - 2y = 20 (3)

Multiply (2) by 3

3x + 2/3y = -40 (2)

3x * 3 + 2/3y * 3 = -40 * 3

9x + 6/3y = -120

9x + 2y = -120 (4)

x - 2y = 20 (3)

9x + 2y = -120 (4)

Using elimination method, Add (3) and (4)

9x + x = -120 + 20

10x = -100

x = -100/10

x = -10

Substitute x = -10 into (3)

x - 2y = 20 (3)

-10 - 2y = 20

-2y = 20 + 10

-2y = 30

y = 30/-2

y = -15

y = -15

x = -10

8 0

3 years ago

Two pumps were required to pump water out of a submerged area after a hurricane. Pump A , the larger if the two pumps, can pump

larisa86 [58]

I would say 100 hours i am not for sure cause i am a bit confused. sorry

7 0

2 years ago

Read 2 more answers

Officials begin to release water from a full man-made lake at a rate that would empty the lake in 10 weeks, but a river that can

Romashka [77]

Answer:

It takes 20 weeks to empty the lake

Step-by-step explanation:

Some rate, let's call it $R_{empty}$ empties the lake in 10 weeks and a river (with rate $R_{river}$ can fill the lake in 20 weeks. The idea behind the solution of this type of problem is always set the rate to the same units. Let's see this:

$R_{empty}=\frac{1\ lake}{10\ weeks}$ which implies that this rate empties 0.1 of the lake per week, thus, $R_{empty}=0.1/week$ .

Using the same idea, we can obtain that the filling rate of the river is:

$R_{river}=\frac{1\ lake}{20\ weeks} = 0.05 /week$

Since both rates are acting at the same time, the total rate of flowing water (either in or out the lake) would be given by:

$R_{total}=R_{empty}+R_{river}\\R_{total}= -0.1 + 0.05=-0.05/week$ , which means that the lake is being empty at a rate of -0.05 week and using the rule of three:

$\frac{0.05}{1} = \frac{1}{total\ of\ weeks} \\total\ of\ weeks = \frac{1}{0.05}=\frac{1}{\frac{1}{20} }\\ total\ of\ weeks = 20$

Thus, It takes 20 weeks to empty the lake.

5 0

3 years ago

What the sum of -1 2/3÷(2 1/5)

Marina CMI [18]

Answer:

-20/21

Step-by-step explanation:

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3 years ago

Find the inverse of the function r(t) = 5^t

s344n2d4d5 [400]

Let r(t)=y and t=x, then y=5^x its inverse is x=5^y

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3 years ago