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2 years ago

Write the slope-intercept form of the equation of the line perpendicular to the graph of y=-3/2x-7 that passes through (3,-2)

1 answer:

ozzi2 years ago

8 0

Graph of y = -3/2x - 7 has a slope of -3/2.
For perpendicular lines the product of the slopes is -1.
m1m2 = -1
-3/2m2 = -1
m2 = -1/(-3/2) = 2/3

The required equation,
y - (-2) = 2/3(x - 3)
y + 2 = 2/3x - 2
y = 2/3x - 4

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I’m so very confused ... 48 out 120 people like baseball, 3 out of 6 play it. If you interviewed 600 people.. how many people pl

horsena [70]

If you interview 600 and 3/6 play, then 300 would play.

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2 years ago

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Mrs. Lee randomly surveyed 25 of her 125 students about their pets. Her survey

raketka [301]

Answer:

My figure would have 3 overlapping regions, each representing dogs, cats, or fish. The overlapping parts represent those areas where owners have more than one pet.

Now, we know the number owners that have dogs is 14 (place this number outside one of the 3 large regions and call it dogs. Do the same for cats (10) and fish (5). At this point it's important to remember that only some of the 14 dog owners have only dogs. Same for cats and fish.

In fact, we know that 4 owners have both dogs and cats. So, on the figure where the dog region and cat region overlap, write 4. Do the same where the dog and fish regions overlap and write 3.

What this means is that of the 14 dog owners, 7 of them own more than a dog. So, 7 dog owners own only dogs:

14 - 7 = 7

Use the same approach for each of the other pets:

Cats: 10 owners have cats; 4 have dogs and cats and 1 has a cat and a fish. So, 5 owners have only cats (10 - 5).

Fish: 5 owners have fish; 3 have dogs and fish and 1 has a cat and a fish. So 1 owner has only fish (5 - 4).

Then, in summary:

Owners that have:

Only Dogs - 7

Only Cats - 5

Only Fish - 1

Dogs AND Cats - 4

Dogs AND Fish - 3

Cats AND Fish - 1

The total number of owners that have at least one pet then is:

7 + 5 + 1 + 4 + 3 + 1 = 21

So, since there are 26 total owners, 5 must not own a dog, cat, or fish.

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2 years ago

Triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4. which describes the relationship between the two trian

Nadya [2.5K]

Answer:

ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.

Step-by-step explanation:

It is given that the triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4.

If a figure is dilated then preimage and image are similar.

If scale factor is between 0 to 1, then preimage is reduction of image.

If scale factor is more that 1, then preimage is enlargement of image.

If scale factor is 1, then preimage is congruent to the image.

We know that

$\frac{3}{4}=0.75$

So,

$0$

Therefore, the ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.

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3 years ago

What is the product of 25 x 24

Vanyuwa [196]

Answer:

600

Step-by-step explanation:

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2 years ago

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S=πrl+πr2 solve for l.

kipiarov [429]

Answer:

Step-by-step explanation:

s = πrl + πr²

First move πr² to the left side of the equation

We have

πrl = s - πr²

Divide both sides by πr to make l stand alone

That's

We have the final answer as

Hope this helps you

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3 years ago