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Y_Kistochka [10]
2 years ago
14

Find the value of r.

Mathematics
1 answer:
fgiga [73]2 years ago
6 0

Answer:

r = 10.5

Step-by-step explanation:

using the Pythagorean theorem:

(7 + r)² = 14² + r²

49 + 14r + r² = 196 + r²

subtract r² from both sides of the equation:

14r + 49 = 196

subtract 49 from both sides:

14r  = 147

divide both sides by 14:

r = 10.5

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One number is eight more than twice another. If their difference is 25, what is the larger number?
Vladimir79 [104]
You can set up an system of equations
x=2y+8
x-y=25

Substitute x in to the second equation
2y+8-y=25
y+8=25
y=17

Substitute the y back in to the first equation.
x=2(17)+8=42
7 0
3 years ago
8x+3y= 28 and 7x-3y=2<br>solve for x and y simontaniasly using elimination ​
EleoNora [17]

Answer:

x=2, y=4

Step-by-step explanation:

When using elimination, the objective is to elimate one variable. In this case, we see that "y" can easily be eliminated by adding the two equations together since you will get 3y + (-3y) which will eliminate y because the value would become 0, letting us solve for x.

\left \{ {{8x+3y=28} \atop {7x-3y=2}} \right. +\\

Then we get

15x =30, because the y's will eliminated, and 8x+7x is 15x, and 28+2 is 30.

Then divide by 15 on both sides and you get x=2

If x=2, then we can substitute that value into any of the previous given equations and find the value of y.

8×2 +3y = 28

16+3y=28

3y=12

y=4

So the answer to your system of equations would be x=2, and y=4

You can substitute the answers we found to see that they satisfy the equation.

Hope this helped.

6 0
3 years ago
Find the area of the figure. (Sides meet at right angles.)
daser333 [38]

Answer:

48m squared

Step-by-step explanation:

- cut the problem in half horizontally

you get two squares one square is 4 by 4 and the other 8 by 4

4 times 4=16 8 times 4=32  32+16=48

6 0
2 years ago
Seven years ago, kodi found a box of old baseball cards in the garage. since then, he has added a consistent number of cards to
Katena32 [7]
(3,52)(7,108)
slope = (108 - 52) / (7 - 3) = 56/4 = 14

y = mx + b
slope(m) = 14
(3,52)...x = 3 and y = 52
sub and find b, the y int (the original amount of cards)
52 = 3(14) + b
52 = 42 + b
52 - 42 = b
10 = b

so ur equation is y = 14x + 10....with x being the number of years and y being the total cards. <== ur equation is y = 14x + 10

He started with 10 cards....and has been adding 14 cards every year.

so after 10 years...
y = 14(10) + 10
y = 140 + 10
y = 150 <== after 10 years, he will have 150 cards
8 0
3 years ago
QUICK MATH EVERY DAY ON THE.....................................................................................................
r-ruslan [8.4K]

Answer:

noo why ;c *cries in deep suffer and pain*

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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