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DIA [1.3K]
3 years ago
7

Which equation represents a circle with the same radius as

Mathematics
2 answers:
Elena-2011 [213]3 years ago
5 0

Answer:

If the circle shown (which I can't see) has a radius of 2, then it's equation 3, if the radius is 4, then it's equation 4.

Step-by-step explanation:

The equation for a circle is (x-h)^{2} +(y-k)^{2} =r^{2}

Where (h, k) is the center and r is the radius.

Orlov [11]3 years ago
4 0

Answer:

(x + 1)² + (y -1)² = 16

Step-by-step explanation:

You might be interested in
Kristin bought eight boxes.A week later half of all her boxes were destroyed in a fire.There are now only 17 boxes left.With how
Dmitriy789 [7]

Answer:

She started with 26 boxes.

Step-by-step explanation:

She started with x boxes. Then she bought 8 more boxes. Now she had x + 8 boxes. Then half the boxes were destroyed, so she has the other half of the boxes. Half of the boxes is (x + 8)/2. She has now 17 boxes, so (x + 8)/2 = 17.

(x + 8)/2 = 17

Multiply both sides by 2.

x + 8 = 34

Subtract 8 from both sides.

x = 26

She started with 26 boxes.

7 0
3 years ago
Suppose you budgeted $2800 for fuel expenses for the year. How many miles could you drive if gas were $2.70 per gallon and your
Julli [10]

Answer:

29037.036 miles

Step-by-step explanation

There are two possible ways to solve this problem.

The first option starts with the $2800 dollars for the years. You first want to divide this by $2.70, because it will give you the amount of gallons of gas you can buy with that money.

2800/2.70 = 1037.037

This means you can buy 1037.037 gallons of gas in the year. Now you need to convert this to miles by multiplying by the amount of miles per gallon.

1037.037 x 28 = 29037.036 gallons

The second way to look at this is dimensional analysis. If you have learned this, then continue on reading this, but if you haven't I might only confuse you. I only suggest this because it can make it a little easier.

For the dimensional analysis, you need to start with what you are given and move to what you need to know, so you will start with the $2800 dollars and move to gallons. $2.70 per gallon and 28 miles per gallon are your conversion factors.

Set it up like this:

2800 dollars  * \frac{1 gallon}{2.70 dollars} * \frac{28 miles}{1 gallon}  = 29037.036 miles

This allows the equation to be more organized, and you can check your work by canceling the units.

Hope this helps.

3 0
2 years ago
A bank loaned out ​$19,000​, part of it at the rate of 9 % per year and the rest at 19 % per year. If the interest received in o
VMariaS [17]

Answer: $11100 was loaned at 9%

Step-by-step explanation:

Let x represent the amount that the

bank loaned out at the annual rate of 9%.

Let y represent the amount that the

bank loaned out at the annual rate of 19%.

The bank loaned out ​$19,000​, part of it at the rate of 9% per year and the rest at 19% per year. It means that

x + y = 19000

The interest on $x after 1 year would be

9/100 × x = 0.09x

The interest on $y after 1 year would be

19/100 × y = 0.19y

If the interest received in one year totaled ​$2500. It means that

0.09x + 0.19y = 2500- - - - - - - - - 1

Substituting x = 19000 - y into equation 1, it becomes

0.09(19000 - y) + 0.19y = 2500

1710 - 19000y + 0.19y = 2500

- 0.09y + 0.19y = 2500 - 1710

- 0.1y = - 790

y = - 790/- 0.1

y = $7900

x = 19000 - y = 19000 - 7900

x = $11100

7 0
3 years ago
Which figure has two pairs of congruent sides and more than two lines of symmetry?
Advocard [28]
C. trapezoid

a trapezoid's legs are congruent, while the bases are symmetrical

a square is the answer you would want, because it is always true, while a trapezoid is only "sometimes" true

thanks Kaikers :D


5 0
3 years ago
Read 2 more answers
PLZ HELP ASAP SOLVE SIMMILAR TRIANGLES (BASIC)
GuDViN [60]

<span>By similarity of triangles we have the following relationship:</span>

<span> (x) / (6) = (18) / (9)</span>

<span> Simplifying we have:</span>

<span> (x) / (6) = 2</span>

<span> Clearing the value of x we have:</span>

<span><span> x = 6 * 2</span></span>

<span><span> X = 12</span></span>

<span><span> Answer:</span></span>

<span><span> The value of x for this case is equal to:</span></span>

<span><span> <span>X = 12</span></span>
</span>

5 0
3 years ago
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