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3 years ago

A right triangle has sides of integer lengths a, 40, and 41. Find a.

Mathematics

1 answer:

balandron [24]3 years ago

7 0

Answer:

b) 9

Step-by-step explanation:

9 squared + 40 squared = 41 squared, which follows Pythagorean theorem.

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P and a are both prime numbers. Find the values of p and q so that 6*54*p/q is a perfect cube.

daser333 [38]

6x54= 324

6x50=300

6x4=24

300+24=324

The previous nearest cube root is 216 and the next cube root would be 343.

p/q could be any prime number which there are a lot of.

im going to say p is 1 and q is 3

next you would divide 1 by 3

1/3=0.666666667

324x0.666666667=216 exact

3 0

3 years ago

Anyone know the answer?

OLga [1]

3. Both are supplementary to angle BCE
4. Angle 2 = Angle 1

8 0

3 years ago

Which is the average rate of change over the interval [0, 10]? Hint: Find rate of change for both equations

GaryK [48]

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3 years ago

Solve the system of equations. 2y+7x=−5 5y−7x=12

3241004551 [841]

We can solve this by substitution method.

Look at the second equation. If we rearrange to find 7x, we can substitute in the value into the first equation.

$5y-7x=12$

$5y-7x-12=0$

$5y-12=7x$

Therefore, $7x=5y-12$

Now replace the 7x in the first equation with 5y - 12:

$2y+7x=-5$ (substitute in 7x = 5y - 12)

$2y+(5y-12)=-5$

$7y-12=-5$

$7y=7$

$y=1$

Now that we know y, we can find x by substituting in y = 1 into any equation we want. I will use the equation: 7x = 5y - 12

$7x=5y-12$ (substitute in y = 1)

$7x=5(1) -12$

$5x=5-12$

$7x=-7$

$x=-1$

__________________________________________________________

Answer:

$y=1\\x=-1$

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2x%7D" id="TexFormula1" title="\frac{3}{2x}" alt="\frac{3}{2x}" align="absmid

defon

Answer:

x=35/78

Step-by-step explanation:

3/2x-11/5=(7/8)*(64/49)

3/2x-11/5=8/7

3/2x=8/7+11/5

3/2x=117/35

x=(35*3)/(2*117)

x=35/78

3 0

3 years ago