MATHEMATICS HIGH SCHOOL

Solve by factoring. x2 - 49 = 0

Answers

Answer 1

Answer:

The solution to the given quadratic equation buy factoring is: x = -7 or 7

How to solve quadratic equations?

A quadratic equation is an equation of degree 2 and has the standard form: ax² + bx + c = 0, with a ≠ 0

We can solve quadratic equations by:

- Completing the square

- Quadratic formula

- Factoring

We are given the quadratic equation as:

x² - 49 = 0

Factoring this gives us:

(x + 7)(x - 7) = 0

Thus:

x - 7 = 0 or x + 7 = 0

x = -7 or 7

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Answer 2

Answer:

Answer:

Solve by factoring.

x2 - 49 = 0Solve by factoring.

x2 - 49 = 0

Step-by-step explanation:

Solve by factoring.

x2 - 49 = 0Solve by factoring.

x2 - 49 = 0

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The radius of a circle is 17 inches . What is the circumference? Use 3.14 for pi!

Answers

Answer:

53.38

Step-by-step explanation:

Final answer:

The circumference of a circle with a radius of 17 inches can be calculated using the formula C=2πr. Substituting these values into the formula gives a circumference of approximately 106.76 inches.

Explanation:

The question is asking about the circumference of a circle, given its radius. The formula to find the circumference of a circle is C=2πr, where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

In this case, the radius of the circle (r) is 17 inches. Substituting these values into the formula, we get:

C = 2 * 3.14 * 17 = 106.76 inches

So, "the circumference of the circle is approximately 106.76 inches".

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If the area of a circle is 58 square feet, find the circumference

Answers

Hi there! C=2πa=2*π*58=26.99621 ft. Therefore, the answer is 27 ft.

It is 58 feet , You use the formula 3.14 x D .....

Hope it help ya .

Find the midpoints of the points (-3,-2) and (1,-4)

Answers

Answer: (-1,-3)

Step-by-step explanation:

midpoint formula $\left((x_2+x_1)/(2),\:\:(y_2+y_1)/(2)\right)$

$\left(x_1,\:y_1\right)=\left(-3,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:-4\right)$

$\left((1-3)/(2),\:(-4-2)/(2)\right)$

$((-2)/(2),(-6)/(2))$

-2/2=-1

-6/2=-3

So the midpoint is (-1,-3)

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Not really sure how to find xy :(

Answers

that's an equilateral triangle which means that all sides and angles are equal to each other. So now if you set everything equal to each other you get 2(2x+1)=6x+7y. Now it's just algebra after that, you have to distribute then left side then isolate the variable y and you get a y value. next step is pretty simple just substitute the answer that you got for y into the original equation that included y so you can get an x value. if everything is right it should tell you that the final answer is 14.

A convenience sample differs from a voluntary sample in thata convenience sample is structured based on accessibility to the researcher, and a voluntary sample is based on participant interest.
convenience samples survey each participant once, and voluntary samples survey each participant numerous times.
convenience sampling is a method of random sampling, and a voluntary sample is not.
convenience sampling is not a probability-based method, and voluntary sampling is.

Answers

Answer: A convenience sample is structured based on accessibility to the researcher, and a voluntary sample is based on participant interest.

Step-by-step explanation:

For the conventional sample the researcher chooses a sample that is readily available in some non-random way. Thus, it is structured based on accessibility to the researcher.

But for the voluntary sample the researcher puts out a request for participants of a population to join the sample, and participants decide whether or not to be in the sample. Thus, it is based on participant interest.

The best answer to the incomplete statement above would be the first choice. A convenience sample differs from a voluntary sample because a convenience sample is based on how accessible or easily obtained participants are to the researcher, while a voluntary sample is based on the participants' interest of participating.

Prove that $sin 5x+sin3x/cos5x+cos3x=tan4x$

Answers

sin5x + sin3x = 2sin4x.cosx
cos5x + cos3x = 2cos4x.cosx
so $(2sin4x.cosx)/(2cos4x.cosx)$ = $(sin4x)/(cos4x)$
= tan4x

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