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3 years ago

Find the slope of a line through the points (0,0) and (2, 9). Round your

Mathematics

1 answer:

den301095 [7]3 years ago

3 0

Answer:

Slope = 4.5

Step-by-step explanation:

We need to find the slope of a line through the points (0,0) and (2, 9).

We know that, the slope of a line is given by :

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have, x₁ = 0, x₂ = 2, y₁ = 0 and y₂ = 9

Put all the values,

$m=\dfrac{9-0}{2-0}\\\\m=4.5$

So, the slope of the line is 4.5.

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Consider the function g(x) = -3x - 4 if the domain value is selected from the set {-8, -2, 0, 3}, which of the following is a co

Marina86 [1]

Answer:

C. -13

Step-by-step explanation:

Solve for g(x) by replacing x with each domain value in the set. Solving for g(x) will give you these numbers:

{20, 2, -4, -13}

-13 is the only value that appears in the range set and in the multiple choice solutions. Therefore, the answer is C. -13

7 0

3 years ago

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Can someone help me please??

Mariulka [41]

The determinant is 45

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3 years ago

The population of a town is 13,000. It decreases at a rate of 5% per year. In about how many years will the population be less t

just olya [345]

This is an exponential decay problem.

Using the equation Y = a *(1-rate)^time

where Y is the future value given as 12,000 and a is the starting value given as 13,000.

The rate is also given as 5%.

The equation becomes:

12,000 = 13,000(1-0.05)^x

12,000 = 13,000(0.95)^x

Divide each side by 13000:

12000/13000 = 0.95^x/13000

12/13 = 0.95^x

Use the natural log function:

x = ln(12/13) / ln(0.95)

x = 1.56 years. ( this will equal 12,000

Round to 2 years it will be less than 12000.

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3 years ago

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.

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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.

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

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3 years ago

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The measure of each angle of a regular octagon is _____ the measure of each exterior angle of a regular hexagon.

VikaD [51]

The answer is "A. greater than" because if the number of edges increase, the measure of each exterior angle increases too!

Hope this helps. :)

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3 years ago

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