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madam [21]
3 years ago
7

Please explain how to do this well I really need help

Mathematics
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
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