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zhenek [66]
2 years ago
15

What is the equation of the circle with: center (5, 7) & point on the circle: (-2, 8)?

Mathematics
1 answer:
svlad2 [7]2 years ago
8 0

Answer: (x - 5)^2 + (y - 7)^2 = 50

Step-by-step explanation:

The general equation for a circle is (x - a)^2 + (y - b)^2 = r^2 where (a, b) is the centre

Use Pythagoras to find r^2

r^2 = (5 - -2)^2 + (7 - 8)^2

= 7^2 + (-1)^2

= 50

So the circle is (x - 5)^2 + (y - 7)^2 = 50

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Is y=4x-5 proportional or no proportional
iren [92.7K]

Answer:

non proportional

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Factor 28+56t+28w28+56t+28w28, plus, 56, t, plus, 28, w to identify the equivalent expressions. Choose 2 answers:
Effectus [21]

Answer: The factorization of  28+56t+28w =28(1+2t+w)

The factors of 28+56t+28w are 28 and 1+2t+w.

Step-by-step explanation:

The given expression : 28+56t+28w

To factorize it, we need to find the common factor.

As 56 can be written as 2 x 28.

So, the above expression would become

28+2\times28t+28w

Now, taking 28 as common from all the terms, we will get

28(1+2t+w)

Thus, the factorization of  28+56t+28w =28(1+2t+w)

And the factors of  28+56t+28w are 28 and 1+2t+w.

6 0
3 years ago
If the scale factor of two similar cylinders is 4:7, what is the volume ratio?
jekas [21]

Answer:

     64 : 343

Step-by-step explanation:

When working with scale factors

Lengths are related by the scale factor

perimeters are related by the scale factor

areas are related by the scale factor squared

volumes are related by the scale factor cubed

The scale factor is 4:7

The volumes are related by 4^3 : 7^3

                                             64 : 343

3 0
3 years ago
Read 2 more answers
Write a word problem for the equation. <br> 1/2 (x-4) = 1/3x + 2
Ganezh [65]

Answer:

Half the age of Carlos four years ago is 2 years more than one-third his current age.

Step-by-step explanation:

We want to write a word problem for the equation.

\frac{1}{2} (x - 4) =  \frac{1}{3}x + 2

Let x represent the present age of Carlos.

Four years ago, Carlos was x-4 years.

Half his age four years ago is ½(x-4)

Two years more than one-third his current age is ⅓x+2

3 0
3 years ago
alfredo bought a fishing pole for 60 off it's original price of $97 if the tax was 4% how much did alfredo pay for the fishing p
Agata [3.3K]

Answer:

$40.4

Step-by-step explanation:

The regular price of the fishing rod is $97

There is a 60% discount from that price.

The discount is equal to 60% of $97 which is equal to .60 * $97 which is equal to $58.2

Discount is like a markdown, so subtract $58.2 from the price of the item before the change to get $97 - $58.2 = $38.8 

This is the price of the item before tax is applied.

Now you apply the sales tax of 4%.

4% of $38.8 is equal to .04 * $38.8 which is equal to $1.552

Tax is like a markup, so add $1.552 to the price of the item before tax was applied to get a selling price of $38.8 + $1.552 which is equal to $40.352

Round it up and the answer is $40.4

3 0
3 years ago
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