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Alex17521 [72]
2 years ago
9

Find the midpoint given the endpoints (4,-10) (22,-4) Please do not use space when

Mathematics
1 answer:
Elza [17]2 years ago
6 0

Answer: (13,-7)

Step-by-step explanation:

By using the formula (x_{m},y_{m})  =(\frac{x_{1}+x_{2}  }{2},\frac{y_{1}+y_{2}  }{2} )

(x_{m},y_{m})\\ is the coordinates of the midpoint.

For finding the midpoint X variable do:

(\frac{4+22}{2})=13

For finding the midpoint Y variable do:

\frac{-10+(-4)}{2} = -7 (you can either keep the parenthesis or take them out. Either way, the answer is the same.

Considering coordinate numbers follow the format: (x,y), you'll simply just substitute the numbers found above into their respective places.

x: 13

y: -7

(13,-7).

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27 thousands 3 hundreds 5 ones times 10
Harrizon [31]

Answer:

27,050

Step-by-step explanation:

Thousand is three zeroes, so we start with 27,000

Hundred is two zeroes, so we add 300

Ones have no zeroes, so we add 5

27,305

but then this is times 10 which adds another zero, so our final result is

27,050

8 0
3 years ago
Read 2 more answers
Worth 25 points!
MrRissso [65]

Answer:

1) \sqrt{-48}=4\sqrt{3} \ i

2) \sqrt{-63}=3\sqrt{7} \ i

3) \sqrt{-72}=6\sqrt{2} \ i

4) \sqrt{-24}=4\sqrt{6} \ i

5) \sqrt{-84}=2\sqrt{21} \ i

6) \sqrt{-99}=3\sqrt{11} \ i

Step-by-step explanation:

We need to simply the following :

<u>Note: For all questions given we know that </u>\sqrt{-1}=i<u> using it in all the given questions.</u>

1) \sqrt{-48}

Factors of 48 are: 2x2x2x2x3

\sqrt{-48}\\=\sqrt{48}\sqrt{-1}  \\=\sqrt{2\times2\times2\times2\times3}\ i\\=  \sqrt{2^2\times2^2\times3}\ i\\=2\times2\sqrt{3} \ i \\=4\sqrt{3} \ i

2) \sqrt{-63}

Factors of 63 are: 3x3x7

\sqrt{-63}\\=\sqrt{63}\sqrt{-1}  \\=\sqrt{3\times3\times7}\ i\\=  \sqrt{3^2\times7}\ i\\=3\sqrt{7} \ i

3) \sqrt{-72}

Factors of 72 are: 2x2x2x3x3

\sqrt{-72}\\=\sqrt{72}\sqrt{-1}  \\=\sqrt{2\times2\times2\times3\times3}\ i\\=  \sqrt{2^2\times3^2\times2}\ i\\=2\times3\sqrt{2} \ i \\=6\sqrt{2} \ i

4) \sqrt{-24}

Factors of 24 are: 2x2x2x3

\sqrt{-24}\\=\sqrt{24}\sqrt{-1}  \\=\sqrt{2\times2\times2\times3}\ i\\=  \sqrt{2^2\times2\times3}\ i\\=2\sqrt{2\times3} \ i \\=2\sqrt{6} \ i

5) \sqrt{-84}

Factors of 84 are: 2x2x3x7

\sqrt{-84}\\=\sqrt{84}\sqrt{-1}  \\=\sqrt{2\times2\times3\times7}\ i\\=  \sqrt{2^2\times3\times7}\ i\\=2\sqrt{21} \ i

6) \sqrt{-99}\\

Prime factors of 99 are: 3x3x11

\sqrt{-99}\\=\sqrt{99}\sqrt{-1}  \\=\sqrt{3\times3\times11}\ i\\=  \sqrt{3^2\times11}\ i\\=3\sqrt{11} \ i \\=3\sqrt{11} \ i

6 0
2 years ago
The measure of two complementary angles are 8y+7 and 4y-25. Find the measures of the angles​
Degger [83]

Answer:

8y+7 =4y-25

8y-4y=-25-7

4y=-32

y=-8

8 0
2 years ago
Y = 12(x * 3) +5<br> What is the y intercept and slope of this line
garik1379 [7]

Hey there!

y = 12(x * 3) + 5

y = 12(x*3) + 5

y = 12(3x) + 5

y = 36x + 5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

4 0
2 years ago
Read 2 more answers
You use 1 1/2 stick of butter for every 24 cookies you bake. How much butter would you need to bake 384 cookies
dimaraw [331]

Answer: 24

Step-by-step explanation: 384 divided by 24 = 16. So 16 times 1 1/2 = 24

6 0
3 years ago
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