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3 years ago

Find the missing length of the right triangle.

Mathematics

1 answer:

gregori [183]3 years ago

5 0

20, because by using Pythagorean theorem, a2+b2=c2. Let’s make a=12 and b=16. (12)2 + (16)2 =c2. If you simplify this, 144 + 256 = c2. 144 + 256 = 400, so 400=c2. Finally if we take the square root of both sides, c=20.

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Solve for b. a+3b=5c-9

notka56 [123]

Answer:

(5c-9-a)/3

Step-by-step explanation:

1. subtract a from both sides to isolate the variable and its coefficient

5c-9-a = 3b

2. divide both sides by 3 to isolate b because 3b/3 = b

(5c-9-a)/3 = b

5 0

2 years ago

Hurry 50 points for correct answer

Ad libitum [116K]

Answer: <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>

Step-by-step explanation:

The equation $x=\sqrt{6x+7}$ can be solved by squaring both sides:

$x^2 = 6x + 7\\\\x^2 - 6x - 7 = 0\\\\(x-7)(x+1) = 0$

We can see that -1 and 7 are solutions, but make sure they are not extraneous by substituting them in the original equation:

$1 = \sqrt{-1}\\ 7 = \sqrt{49}$

The square root of 49 equals 7, but the square root of -1 is an imaginary number.

The correct choice is <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>

4 0

3 years ago

You and your friend are painting the walls in your apartment. You estimate that there is 1000 square feet of space to be painted

leva [86]

After 45 minutes you will have painted 4*45=180 square feet.

so the total number of painted area, y, is:

y=180+x*(3+4) after the 45 minutes

where x is the number of minutes AFTER THE 45 minutes:

if y is 1000 then

1000=180+x*7
820=x*7
x=117.14

so 117 minutes, or one hour and 57 minutes.

5 0

3 years ago

Joe bought 15 items for $135. If the 15 items consisted of notebooks that cost $4.50 each and calculators that cost $12.00 each,

Luda [366]

n + c = 15

4.5n + 12c = 135

c = 15 - n

12c = 180 - 12n

180 - 12n + 4.5n = 135

-7.5n = - 45

15n = 90

notebook = 6

6 + c = 15

calculator = 9

6 0

2 years ago

Please help for 20 points

butalik [34]

Answer:

communitive property of multiplication

7 0

4 years ago