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3 years ago

The circle below is centered at (10,4) and has a radius of 4. What it’s equation?

Mathematics

1 answer:

Rina8888 [55]3 years ago

5 0

Answer:

$(x-10)^2 + (y-4)^2 = 16$

Step-by-step explanation:

To write the equation using a center and a radius, use the vertex form of the equation.

$(x-h)^2+(y-k)^2 = r^2$

Substitute the values h=10 and k=4 into the equation along with r = 4.

$(x-10)^2 + (y-4)^2 + 4^2\\(x-10)^2 + (y-4)^2 = 16$

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To make fruit punch for a party, we need 4 1⁄2 gallons of ginger ale, 1 gallon of strawberry juice, 2 3⁄4 gallons of frozen oran

lina2011 [118]

For this case we convert the mixed numbers to fractions:

$4 \frac {1} {2} = \frac {2 * 4 + 1} {2} = \frac {9} {2}\\2 \frac {3} {4} = \frac {4 * 2 + 3} {4} = \frac {11} {4}$

Now we add the fractions:

$\frac{9} {2}+1+ \frac {11} {4} + \frac {1} {8} =$

We find the least common multiple of the denominators. The l.c.m is 8, then we divide by each denominator and multiply the result by each numerator.

$\frac {36 + 8 + 22 + 1} {8} =\\\frac {67} {8} =$

8,375

Thus, the punch recipe implies 8.375 gallons. If we convert to a mixed number we have:

$8 \frac {3} {8}$ gallons

Answer:

$8 \frac {3} {8}$ gallons

4 0

3 years ago

A rectangle with an area of 103 square feet is dilated by a scale factor of 3. What is the new area?

nekit [7.7K]

Okay so a dilation means that you would multiply the area by your scale factor. 103 times 3 is 309. Your answer is 309

8 0

3 years ago

Need help with this question ASAP!

kenny6666 [7]

Answer:

(-6, -3)

Step-by-step explanation:

The coordinate is at (2, -1), when using a dilation with a scale factor of 3, multiply the coordinates by 3.

(2, -1) ------> (2 x 3, -1 x 3) ----------> (6, -3)

When reflecting the point over the y-axis, take the opposite of the x coordinate.

(6, -3) ------> (-6, -3)

5 0

2 years ago

Which equation supports the given conjecture? The difference of two odd numbers is an even number. A. 23 – 19 = 4 B. 16 – 10 = 6

MissTica

Answer: <span>A. 23 – 19 = 4

23 and 19 are odd
4 is even
23-19: </span><span>difference of two odd numbers</span>

7 0

3 years ago

A jogger goes 1.5km west and then turns south.If the jogger finishes 1.7 km from the starting point,how far south did the jogger

kakasveta [241]

Hello!

You can use the Pythagorean Theorem to solve this

$a^{2} + b^{2} = c^{2}$

c is the hypotenuse
a and b are the legs

Put in the values you know

$1.5^{2} + b^{2} = 1.7^{2}$

Square the numbers

$2.25+ b^{2} =2.89$

Subtract 2.25 from both sides

$b^{2} =0.64$

Take the square root of both sides

b = 0.8

The answer is 0.8km

Hope this helps!

6 0

3 years ago