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Paladinen [302]

3 years ago

6

If the quantity 4 times x times y cubed plus 8 times x squared times y to the fifth power all over 2 times x times y squared is

completely simplified to 2xayb + 4xcyd, where a, b, c, and d represent integer exponents, what is the value of a? _______

1 answer:

VladimirAG [237]3 years ago

7 0

(4xy^3+8x^2y^5)/(2xy^2) Since 2xy^2 is a common factor we have

2y+4xy^3

2y=2x^ay^b

x^0=x^a

a=0

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Is the following definition of perpendicular reversible? Two lines that intersect at right angles are perpendicular.

lutik1710 [3]

If I remember correctly perpendicular means right angle so I do not think it could be reversed.

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=2x%5E2%2B5x%2B3%3D0" id="TexFormula1" title="2x^2+5x+3=0" alt="2x^2+5x+3=0" align="absmiddle"

melamori03 [73]

Answer:

$x=-\frac{3}{2},-1$

Step-by-step explanation:

$2x^2+5x+3=0$

Split the second term (5x) into two terms. Multiply the coefficient of the first term (2) by the constant term (3):

$2*3=6$

Find which two numbers add up to 5 and multiply into 6:

$3+2=5\\3*2=6\\3,2$

Split 5x as the sum of 3x and 2x:

$2x^2+3x+2x+3$

Now factor out a common term for the first 2 terms:

$2x^2+3x\\x(2x+3)$

And do the same for the last 2 terms:

$2x+3\\1(2x+3)$

Re-insert:

$x(2x+3)+1(2x+3)=0$

Factor out the common term 2x+3 and insert the values in front of the parentheses (x and 1):

$(2x+3)(x+1)=0$

Separate the parentheses and equal them to 0. Solve for x:

$2x+3=0\\2x+3-3=0-3\\2x=-3\\\\\frac{2x}{2}=\frac{-3}{2}\\\\ x=-\frac{3}{2}$

and

$x+1=0\\x+1-1=0-1\\x=-1$

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3 years ago

Triangle ABC is shown with four images that are each the result of a transformation of triangle ABC. On a coordinate plane, tria

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Answer:ghi

Step-by-step explanation:

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Find the area of a semi-circle that has a radius of 8 cm.

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Answer:

A

Step-by-step explanation:

trust

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At a height of about 212 meters, One Shell Square is the tallest building in New Orleans. Marlie is creating a scale model of th

Stells [14]

Answer:

0.8 meters

Step-by-step explanation:

The scale factor is 1:250 (can be rewritten as 1/250 or 1 to 250).

1/250 × 212 = 0.848 Meters

Round to the nearest tenth, the scale model will be 0.8 meters.

OR: SET UP A PROPORTION:

$\frac{250}{1} \times \frac{212}{x}$

<em>cross-multiply</em>

<em> $250x = 212$ </em>

<em> $x = 0.848$ </em>

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3 years ago

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