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Elis [28]
2 years ago
6

PLEASE HELP THIS IS MY LAST TEST QUESTION!!!14x^5y^4+21x^3y^2/7x^3y

Mathematics
1 answer:
nordsb [41]2 years ago
5 0

Answer: =2x²y³+3y.

Step-by-step explanation:

\frac{14x^5y^4+21x^3y^2}{7x^3y} =\frac{7x^3y*(2x^2y^3+3y)}{7x^3y}= 2x^2y^3+3y.

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Pleasee help ASAP!! No links pleaseee!!!
Ilya [14]

Given:

The vertices of the rectangle ABCD are A(0,1), B(2,4), C(6,0), D(4,-3).

To find:

The area of the rectangle.

Solution:

Distance formula:

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using the distance formula, we get

AB=\sqrt{(2-0)^2+(4-1)^2}

AB=\sqrt{(2)^2+(3)^2}

AB=\sqrt{4+9}

AB=\sqrt{13}

Similarly,

BC=\sqrt{(6-2)^2+(0-4)^2}

BC=\sqrt{(4)^2+(-4)^2}

BC=\sqrt{16+16}

BC=\sqrt{32}

BC=4\sqrt{2}

Now, the length of the rectangle is AB=\sqrt{13} and the width of the rectangle is BC=4\sqrt{2}. So, the area of the rectangle is:

A=length \times width

A=\sqrt{13}\times 4\sqrt{2}

A=4\sqrt{26}

A\approx 20

Therefore, the area of the rectangle is 20 square units.

3 0
3 years ago
A truck travels 2,365 miles at an average speed of 55 miles per hour.At that speed, how long will it take the truck to complete
disa [49]

Answer:

Step-by-step explanation:

Givens

d = 2365 miles

r = 55 miles / hour

t = ?

Formula

d = r * t

Solution

d = r * t

2365 = 55 * t               Divide by 55

2365/55 = t

t = 43 hours.

5 0
3 years ago
The two trigonometric functions defined for all real numbers are the
Sidana [21]
Sine and cosine.  The other four functions are periodic and at some values of the input variable would be undefined.
4 0
3 years ago
Jerry is buying a new large screen television for his game room. He knows that the diagonal of the television measures 42.1 inch
bixtya [17]
Remember that the area of a rectangle is length times width; since we don't know the width, we'll use the Pythagorean theorem to find it first:
l= \sqrt{h^{2}-c^{2}  }
Where l is the leg, and h the hypotenuse. We know that one of the legs, the base has a measures 34.3 inches and the hypotenuse a measures 42.1 inches.
Replace the values to get:
l= \sqrt{42.1^{2}-34.3^{2}  }
l=24.4=w
Now that we know the width (w), we just net to multiply it by the length to get our area:
A=(24.4)(34.3)=836.9

We can conclude that the correct answer is <span>B) 836.9 in.</span>

6 0
3 years ago
Read 2 more answers
Find the product of 2x^4(3x^2 + 4x + 1)
lozanna [386]

Answer:

2 {x}^{4} (3 {x}^{2}  + 4x + 1) \\=6{x}^{(4+2)}+8{x}^{(4+1)}+2{x}^{(4+0)}\\ =  \boxed{6 {x}^{6}  + 8 {x}^{5}  + 2 {x}^{4} }

<h3><u>6x⁶+8x⁵+2x⁴</u> is the right answer.</h3>
8 0
3 years ago
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