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Y_Kistochka [10]
3 years ago
10

Amy’s age plus Betty’s age is 29 years. Amy’s plus Carl’s age is 27 years. Betty’s plus Carl’s age is 22 years. What is the diff

erence between the oldest child and the youngest child is?
Mathematics
1 answer:
eduard3 years ago
4 0

Answer: 12

Step-by-step explanation

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Find the exact distance between the line 6x-y=3 and the point (6,2). Show your work. Explain your answer.
Serggg [28]

Answer:

The distance of point ( 6 , 2 ) from line  6 x - y = 3 is  \frac{31}{\sqrt{37} }  unit .

Step-by-step explanation:

Given as :

The equation of line is 6 x - y = 3

And The points is ( 6 , 2 )

Let The distance between the line and points is d unit

So, The distance of point from the line = \frac{\begin{vmatrix}ax & +b y & + c\end{vmatrix}}{\sqrt{a^{2}+b^{2}}}

Or, d = \frac{\begin{vmatrix}6\times x & +(-1)\times  y & + (-3)\end{vmatrix}}{\sqrt{6^{2}+(-1)^{2}}}

Or, d =  \frac{\begin{vmatrix}6\times 6 & +(-1)\times  2 & + (-3)\end{vmatrix}}{\sqrt{6^{2}+(-1)^{2}}}

Or, d = \frac{36 - 2 - 3}{\sqrt{37} }

∴    d = \frac{31}{\sqrt{37} }  unit

Hence The distance of point ( 6 , 2 ) from line  6 x - y = 3 is  \frac{31}{\sqrt{37} }  unit .   Answer

4 0
3 years ago
Read 2 more answers
Select all the points that are on the graph of the line y=1/2x+5
PSYCHO15rus [73]

Answer:

(10,0), (0,5), (1,2)

Step-by-step explanation:

7 0
3 years ago
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QUICK QUICK I NEED YOUR ANSWER FAST! 2 MINUTES ONLY! WITH AN EXPLANATION PLEASE! THEN YOU WILL BE THE BRAINLIEST!
Cerrena [4.2K]

Answer:

113/24

Step-by-step explanation:

Simplify the following:

(14 + 1/8)/3

Put 14 + 1/8 over the common denominator 8. 14 + 1/8 = (8×14)/8 + 1/8:

((8×14)/8 + 1/8)/3

8×14 = 112:

(112/8 + 1/8)/3

112/8 + 1/8 = (112 + 1)/8:

((112 + 1)/8)/3

112 + 1 = 113:

(113/8)/3

113/8×1/3 = 113/(8×3):

113/(8×3)

8×3 = 24:

Answer: 113/24

4 0
3 years ago
DEF has vertices P(-3,8) Q(-6, -4) R (1,1). if you reflect pqr across the x axis what will be the coordinates of the vertices
Rama09 [41]

P'(-3,-8) Q'(-6,4) R'(1,-1)

This should be correct! Hope I helped!

4 0
3 years ago
Choose the amounts of sales that would give Shonda's business a positive
Hitman42 [59]

Answer:

Hello! Your answer would be, BELOW!

Step-by-step explanation:

$26

$21

$29

$17

Hope I helped! Ask me anything if you have more questions! Have a nice mourning! Brainiest plz! Hope you make an 100%! -Amelia♥

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3 years ago
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