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3 years ago

Find the length (distance) of a segment with endpoints (5,-2) and (9,4). (Must show your

Mathematics

1 answer:

stepladder [879]3 years ago

6 0

Answer:

$7,2 ≈ D$

Step-by-step explanation:

We need to use the Distance Formula:

$\sqrt{(-x_{1} + x_{2})^{2} + (-y_{1} + y_{2})^{2}} = D \\ \\ \sqrt{(-5 + 9)^{2} + (2 + 4)^{2}} = D \\ \\ \sqrt{{4}^{2} + {6}^{2}} = D \\ \\ \sqrt{16 + 36} = D \\ \\ 2\sqrt{13} = D \\ \\ 7,2 ≈ D$

** Since we are talking about distance, we ONLY want the NON-NEGATIVE root.

I am joyous to assist you anytime.

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Georgia needs to buy some cheese. An 8-ounce package of

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3 years ago

A rectangle has a length that is three feet more than twice it’s width. If the area of the rectangle is 90 square feet, then alg

Mkey [24]

Answer:

$Length=27feet\\Width=12 feet$

Step-by-step explanation:

Let, the length of the rectangle be 'L'

and, width of the rectangle be 'W'

length=2*Width+3

$L=(2W+3) feet\\\\$

Area of the rectangle= 90 square feet

Area of a rectangle = Length*Width

$90=(2W+3)*W\\\\2W^2+3W=90\\\\2W^2+3W-90=0\\\\$

Using Factorization Method to solve quadratic equation:

$2W^2-12W+15W-90=0$

Taking common from the equation:

$2W(W-12)+15(W-12)=90\\\\(W-12)(2W+15)=0\\\\W-12=0\\\\W=12 feet$

$2W+15=0\\\\2W=-15\\\\W=-7.5 feet$

The Width cannot be negative, therefore Width(W)=12 feet

$Length=2*Width+3\\\\=(12*2)+3\\\\=24+3\\\\=27 feet$

$Length=27feet\\Width=12 feet$

3 0

3 years ago

Solve: x2 − x − 6/x2 = x − 6/2x + 2x + 12/x After multiplying each side of the equation by the LCD and simplifying, the resultin

Vesna [10]

The resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

According to the given question.

We have an equation

$\frac{x^{2}-x-6 }{x^{2} } = \frac{x-6}{2x} +\frac{2x+12}{x}$

So, to find the resulting equation of the above equation we need to simplify.

First we will take LCD

$\frac{x^{2} -x - 6 }{x^{2} } = \frac{x -6+2(2x + 12)}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } =\frac{x-6+4x+24}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } = \frac{5x +18}{2x}$

Multiply both the sides by x.

$\frac{x^{2}-x-6 }{x} = \frac{5x+18}{2}$

Again multiply both the sides by x

$2x^{2} -2x-12 = 5x^{2} +18x$

$\implies 5x^{2} -2x^{2} +18x +2x +12 = 0$

$\implies 3x^{2} + 18x+2x + 12 = 0$

Factorize the above equation

⇒3x(x+6)+2(x+6) = 0

⇒(3x + 2)(x+6) = 0

⇒ x = -2/3 or x = -6

Hence, the resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

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7 0

1 year ago

Write the explicit formula that represents the geometric sequence -2, 8, -32, 128 show your work.

alekssr [168]

There it is! Hope that helps

Download docx

5 0

3 years ago

I need help! Please help!

bearhunter [10]

I think it's b

Hope I could help

6 0

3 years ago

Read 2 more answers