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3 years ago

Write the equation of the line perpendicular to y = x+ 5 that passes through the point ( -7,3).

Mathematics

1 answer:

Burka [1]3 years ago

3 0

Answer:

y = - x - 4

Step-by-step explanation:

A line perpendicular to the line: y = x + 5

must have a slope that is the "opposite of the reciprocal" of the slope of the given line. Then the slope of the perpendicular line must be "-1".

Now that we know the slope of the perpendicular line, we use the point (-7, 3) to complete the equation of the line:

y = -1 x + b

3 = -1 (-7) + b

then we solve for "b":

3 = 7 + b

3 - 7 = b

b = -4

Now we can write the total equation of the perpendicular line in slope-intercept form as:

y = - x - 4

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The radius of a sphere is 6 units.

skad [1K]

Answer: Four-thirdsπ(6)³

Step-by-step explanation: The formula for the volume of a sphere is attached in the image down below.

Notice that two of the options listed have three-fourths but we use four-thirds to find the volume of a sphere. This means that we can eliminate the 1st and the 3rd option.

Now, we will multiply that by π and then by the radius cubed which is also written as 6³. This means that our answer would be the second option.

3 0

3 years ago

Read 2 more answers

Fabric is sold by the yard and many fabrics are 48" wide (4feet). Designers calculate the square feet needed for a garment in or

Natali5045456 [20]

Answer:

How many yards of material does the designer need for the 6 skirts? = 12

How much will ALL the fabric cost? = $150.84

What is the cost of the fabric of ONE skirt? = $12.57

Step-by-step explanation:

How many yards of material does the designer need for the 6 skirts?

First, it says that the yard is 48" wide aka 4 feet. But since it's asking for a total of 6 skirts, you multiply the yard by the number of skirts. Let's try to multiply 48 with 6.

x 6

288

So it will be 288 yards of material but we need to multiply 4 with 6.

x 6

So as you can see, 24 is 12 times as many as 288.

If you multiply 24 with 12, you will get the result of 288.

So the answer is 12 yards of material.

-----------------------------------------------------------------------------------------------------------------

How much will ALL the fabric cost?

First, it says that the cost of the fabric is $12.57 per yard.

So, since we got our answer as 12 for our first question, we gotta multiply $12.57 with 12.

12.57

x 12

150.84

So the answer is $150.84.

-----------------------------------------------------------------------------------------------------------------

What is the cost of the fabric for ONE skirt?

First, again we check that it's $12.57 per yard.

So, if it's for only one skirt, it will be $12.57.

It says that the fabric cost $12.57 and for one skirt.

-----------------------------------------------------------------------------------------------------------------

Hope this helped! I tried to help though. I didn't read the whole thing but I tried to solve your 3 questions :) !

7 0

3 years ago

Read 2 more answers

In Argentina, a cow on a ranch is expected to need an average of 4200 m2

nika2105 [10]

The cows of Argentina needs an approximate area of 4200 m² for grazing, and there is a total of 4500 cows.

And we are asked to find the total area of their grazing but in hectares. So, we can write:

$1 \: cow = 4200 \: {m}^{2}$

Then, for 4500 cows:

$4500 \: cows = 4200 \: {m}^{2} \times 4500$

$4500 \: cows = 18900000 \: m {}^{2}$

We know that, 1 hectares = 10000 m² = 10⁴ m²

Then let the area of the field be x in hectares:

$1 \: hectare = 10000 \: {m}^{2}$

$x \: hectare = 18900000 \: {m}^{2}$

Then, putting them in proportion, We will get:

$x = \dfrac{18900000}{10000} hectares$

$x = \boxed{ 1890 \: hectares}$

So, the total area in hectares = 1890 hectares.

And we are done !!

#CarryOnLearning

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6 0

3 years ago

For the situation, draw a diagram for the relationship of the quantities to help you answer the question. Then write a multiplic

Aloiza [94]

Answer: 6 batches

Step-by-step explanation:

From the question, we are informed that one batch of cookies requires 2⁄3 cup of flour.

Therefore, the number of batches that can be made with 4 cups of flour will be:

= 4 / 2/3

= 4 × 3/2

= 12/2

= 6 batches

7 0

3 years ago

LOL stevenstanardjr should be admin he is like the most helpful 1 here

Dennis_Churaev [7]

Lol yeah frrrrr im tryna get help with my Spanish

3 0

3 years ago