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frutty [35]
3 years ago
7

Simplify: (x1/2y3)6 A) x12y18 B) x12y9 C) x3y18 D) x3y9

Mathematics
1 answer:
MAXImum [283]3 years ago
7 0
The Answer is C




Reason
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The midpoint of RS¯¯¯¯¯¯¯ is M. Use the given endpoint R(23, 14) and midpoint M(13, 8) to find the coordinates of the other endp
Oksanka [162]

The coordinates of other endpoint S is (3, 2)

<h3><u>Solution:</u></h3>

Given that midpoint of RS is M

Given endpoint R(23, 14) and midpoint M(13, 8)

To find: coordinates of the other endpoint S

<em><u>The formula for midpoint is given as:</u></em>

For a line containing containing two points (x_1, y_1) and (x_2, y_2) midpoint is given as:

m(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)

Here in this problem,

m(x, y) = (13, 8)

(x_1, y_1) = (23, 14)\\\\(x_2, y_2) = ?

Substituting the given values in above formula, we get

(13,8)=\left(\frac{23+x_{2}}{2}, \frac{14+y_{2}}{2}\right)

Comparing both the sides we get,

\begin{aligned}&13=\frac{23+x_{2}}{2} \text { and } 8=\frac{14+y_{2}}{2}\\\\&26=23+x_{2} \text { and } 16=14+y_{2}\\\\&x_{2}=3 \text { and } y_{2}=2\end{aligned}

Thus the coordinates of other endpoint S is (3, 2)

8 0
3 years ago
HELLPPPPP PLS INCLUDE EXPLANATION ON HOW TO DO IT SO I CAN DO IT ON MY OWN!!!!
ale4655 [162]

Answer: 0.000021 in scientific notation is

2.1 × 10-5

Step-by-step explanation:

All numbers in scientific notation or standard form are written in the form

m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.

To convert 0.000021 into scientific notation, follow these steps:

Move the decimal 5 times to right in the number so that the resulting number, m = 2.1, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -5

Write in the scientific notation form m × 10n

= 2.1 × 10-5

Therefore,

2.1 × 10-5 is the scientific notation form of 0.000021 number and 2.1e-5 is the scientific e-notation form for 0.000021

** Hope this helps you! Good Luck!

3 0
3 years ago
How do i solve 42 = -2d + 6
Mazyrski [523]
Substract 6 to both sides and you get 36 =-2d then you use the multiplicative inverse and d=-18.
8 0
4 years ago
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Can someone help me with this one
sergey [27]
The answer is 4. If you add 4 to any of the x values, it equals the y value next to it
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Find the total weight of 10 chunks of cheese at 3/4 a pound
Svetllana [295]
3/4 lb × 10 chunks =
3/4 × 10 =
30/4 = 7 2/4 = 7 1/2 lbs
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