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creativ13 [48]
2 years ago
15

Please help me, I don't know how to do this...

Mathematics
1 answer:
Lunna [17]2 years ago
8 0

Answer:

  A.  5

Step-by-step explanation:

The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.

  (x +1)^2 +x^2 = (√61)^2

  x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses

  2x^2 +2x = 60 . . . . . . .subtract 1, collect terms

  x^2 +x -30 = 0 . . . . . divide by 2, subtract 30

  (x +6)(x -5) = 0 . . . . factor the quadratic

  x = -6 or +5

The solution is x = 5.

_____

Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.

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The answer is A.

Step-by-step explanation:

3 0
3 years ago
Please help, will grant brainliest if correct, need now!!
Mama L [17]

Answer:

- 7

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [ - 5, - 2 ]

f(b) = f(- 2) = (- 2)² - 4 = 4 - 4 = 0

f(a) = f(- 5) = (- 5)² - 4 = 25 - 4 = 21, thus

average rate of change = \frac{0-21}{-2-(-5)} = \frac{-21}{3} = - 7

3 0
3 years ago
SOLUTION: y = 5x + 7 what is the value of y
Nat2105 [25]
There are an infinite number of solutions given the information you provided. For every real value of x there will be a corresponding real value of y.

y=5x+7  Has not restriction upon the domain or range...

What is the value of y?  5x+7 
8 0
3 years ago
Read 2 more answers
Which is larger 143.0 millimeters or 143.0 decimeters?
Natali5045456 [20]
1 <span>millimeter = 10⁻³ m
1 </span><span>decimeter = 10⁻¹ m
So,</span>decimeters are larger units, and 143.0 decimeters > <span>143.0 millimeters .</span>
6 0
3 years ago
(-2q^4)(-8q^3b^6)<br>help I need to simplify this problem
Montano1993 [528]
Multiply the constants. Multiply the variables according to the rules of exponents.
(-2q^{4})(-8q^{3}b^{6}) = ((-2)(-8))q^{(4+3)}b^{6}\\\\=16q^{7}b^6}
4 0
3 years ago
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