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3 years ago

7

Please explain how to do this well I really need help

1 answer:

astraxan [27]3 years ago

6 0

Simply the radical expression

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A triangle has side lengths of 13, 9, and 5. Is the triangle a right triangle? Explain.

valentina_108 [34]

Answer: This triangle is <u>not</u> a right triangle

Step-by-step explanation:

In a right triangle, the hypotenuse(c) is always the longest side and a and b are the shorter sides. Thus, 5^2+9^2=13^2. Simplify this to get 25+81=169, then 106=169. Because 106 does <u>not</u> equal 169, it is not a right triangle.

<em>Hope it helps <3</em>

8 0

3 years ago

Read 2 more answers

A rancher wants to fence in an area of 1000000 square feet in a rectangular field and then divide it in half with a fence down t

frosja888 [35]

The shortest length of the fence used by the rancher in a rectangular field of 1000000 square feet is 4899 ft.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle is a region enclosed in four corners where two opposite sides are equal. The area of the rectangle is mathematically expressed as:

Area of a rectangle = length(x) × breath(y)

1000000 sq.ft = (x) × (y) ---- (1)

However, to determine the fencing, we have:

Length of fencing = 2x + 2y

since the rectangle has four sides and opposite sides are equal

Suppose we use the x-direction to estimate the region where the fencing is located, we have:

Length of fencing = 2x + 2y + x

Length of fencing = 3x + 2y ---- (2)

From equation (1), make (y) the subject of the formula and replace the value of y with equation (2)

The Length of fencing is:

$\mathbf{L = 3x - 2( \dfrac{1000000}{x})}$

$\mathbf{\dfrac{dL}{dx} = 3 - \dfrac{2000000}{x^2} = 0}$

$\mathbf{ x^2= \dfrac{2000000}{3} }$

$\mathbf{ x= \dfrac{1000\sqrt{2}}{\sqrt{3}} }$

$\mathbf{x = \dfrac{1000 \sqrt{6}}{3}}$

Now, if we replace the value with equation (1), then y will be:

$\mathbf{y = \dfrac{1000000}{\dfrac{1000 \sqrt{6}}{3}} }\\ \\ \\ \\ \mathbf{y = \dfrac{3000 }{\sqrt{6}}}$

$\mathbf{x =500\sqrt{6}}$

Now, the shortest length of the fencing can be computed by using the equation (2):

L = 3x + 2y

$\mathbf{L = 3( \dfrac{1000 \sqrt{6}}{3}) + 2(500 \sqrt{6})}$

$\mathbf{L =1000 \sqrt{6} + 1000 \sqrt{6}}$

$\mathbf{L =2000 \sqrt{6} }$

$\mathbf{L \simeq 4899 \ ft}$

Learn more about the area of a rectangle here:

brainly.com/question/25292087

6 0

2 years ago

Find three ordered pairs for x=9

MariettaO [177]

Three examples are (9, 1), (9, -5), and (9, 3.2).

8 0

3 years ago

What is the factorization of the expression below?

mestny [16]

Answer:

Answer B is correct

$(6x + 5)(6x - 5)$

Step-by-step explanation:

$36 {x}^{2} - 25 \\ {6}^{2} {x}^{2} - {5}^{2} \\ = (6x - 5)(6x + 5)$

6 0

3 years ago

Express the answer in standard form.

Natali [406]

Answer:

$-2x^{2} +8x-10$

Step-by-step explanation:

Standard form is basically where the degrees of the terms are in descending order.

First, let's distribute the negative sign to the terms in the second parentheses:

$-(3x^{2} -5x+3) = -3x^{2} +5x-3$

Now, we can just combine like terms with the terms from the first parentheses:

$x^{2} +3x - 7 - 3x^{2} +5x-3 = -2x^{2} +8x-10$

So, our answer is: $-2x^{2} +8x-10$

8 0

3 years ago

Read 2 more answers