3 years ago

Solve by factoring 36x^2=25

Mathematics

1 answer:

tatiyna3 years ago

5 0

The answer is the same

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Use the Pythagorean theorem to find the unknown side of the right triangle.

Nesterboy [21]

The length of hypotenuse is 39.

Step-by-step explanation:

Given,

Vertical side = a = 15

Horizontal side = b = 36

Hypotenuse = c

Using pythagorean theorem

$a^2+b^2=c^2\\(15)^2+(36)^2=c^2\\225+1296=c^2\\1521=c^2\\c^2=1521$

Taking square root on both sides

$\sqrt{c^2}=\sqrt{1521}\\c=39$

The length of hypotenuse is 39.

Keywords: square root, addition

Learn more about square roots at:

#LearnwithBrainly

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4 years ago

Find the minimum value if f(x) = xe^x over [-2,0]

SashulF [63]

Given function:

$f(x)=xe^x$

The minimum value of the function can be found by setting the first derivative of the function to zero.

$f^{\prime}(x)=xe^x+e^x$ $\begin{gathered} xe^x+e^x\text{ = 0} \\ e^x(x\text{ + 1) = 0} \end{gathered}$

Solving for x:

$\begin{gathered} x\text{ + 1 = 0} \\ x\text{ = -1} \end{gathered}$ $\begin{gathered} e^x\text{ = 0} \\ \text{Does not exist} \end{gathered}$

Substituting the value of x into the original function:

$\begin{gathered} f(x=1)=-1\times e^{^{-1}}_{} \\ =\text{ -}0.368 \end{gathered}$

Hence, the minimum value in the given range is (-1, -0.368)

6 0

2 years ago

Wut is 100000000000 x 0

weeeeeb [17]

Answer:

Step-by-step explanation:hope this helped lol hope u have a wonderful thanksgiving day!!!!!!!

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3 years ago

Zorba ate 75% of his carrots. He started with 24 carrots. How many carrots are left?

Stella [2.4K]

Answer:

Step-by-step explanation:

75% of 24=18

24-18=6

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3 years ago

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Which of the following is the solution set of 6x + 5 = -29?<br> O {-4}<br> O {-17/3)<br> O (17/3)

Deffense [45]

Answer:

- $\frac{17}{3}$

Step-by-step explanation:

7 0

2 years ago

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