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emmasim [6.3K]
3 years ago
5

(x^4 – x^2 – 6) ÷ (x^2 + 8)

Mathematics
2 answers:
gtnhenbr [62]3 years ago
8 0

Answer:

x² - 9  Remainder 66

Step-by-step explanation:

Find the attachment below for a step by step explanation.

evablogger [386]3 years ago
7 0

<u>Answer:</u>

x^2-9

<u>Step-by-step explanation:</u>

We are given the following expression and we are to divide it:

\frac { x ^ 4 - x ^ 2 - 6 } { x ^ { 2 } + 8 }

We divide the first term x^4 by x^{2}+8 and get x^{2} in the quotient so then we are left with -9x^{2} -6.

Further -9x^{2} -6 is divided by x^{2}+8 to get -9 in the quotient and we are left with 66 as the remainder.

So we get the quotient x^2-9 and remainder 66.

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A rectangular prism is 4 m long, 5 m wide, and has a height of 6 m. what is its surface area?76 m2120 m2148 m2240 m2
Lena [83]
2 (4 x 5) + 2(5 x 6 ) + 2 (6 x 4) = 148 m^2 

answer = 148 m^2 

none of your options..

hope it helps!
7 0
3 years ago
Find the midpoint of the segment with the following end points (10,5) and (6,9)
Taya2010 [7]

Answer:

The mid-point between the endpoints (10,5) and (6,9) is:

  • \left(x,\:y\right)=\left(8,\:7\right)

Step-by-step explanation:

Let (x, y) be the mid-point

Given the points

  • (10,5)
  • (6,9)

Using the formula to find the mid-point between the endpoints (10,5) and (6,9)

\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)

Here:

\left(x_1,\:y_1\right)=\left(10,\:5\right),\:\left(x_2,\:y_2\right)=\left(6,\:9\right)

Thus,

\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)

\left(x,\:y\right)=\left(\frac{6+10}{2},\:\frac{9+5}{2}\right)

\left(x,\:y\right)=\left(8,\:7\right)

Therefore, the mid-point between the endpoints (10,5) and (6,9) is:

  • \left(x,\:y\right)=\left(8,\:7\right)
3 0
3 years ago
If ABC is similar to DEF, determine the measure of A
nikdorinn [45]

Answer:

the answer is 66°

Step-by-step explanation:

As it is given that triangle ABC is similar to triangle DEF so

< A = < D ( being corresponding angles of similar triangles)

3x + 18° = 4x + 2°

4x - 3x = 18° - 2°

x = 16°

So now

< A = 3 * 16° + 18° = 66°

3 0
3 years ago
The volume is a rectangular prism is 7,200 cubic centimeters. It has a length of 24 centimeters and a width of 20 centimeters. W
Setler [38]
7,200 = (24)(20)h
15=h (just divide)
To check, 20*24*15 = 7,200 cubic centimeters so 15 cm is right
7 0
3 years ago
Read 2 more answers
William has 24 cans of fruit and 60 cans of vegetables that he will be putting into bags for a food drive. He wants each bag to
nataly862011 [7]

Answer:

See explanation

Step-by-step explanation:

William has 24 cans of fruit and 60 cans of vegetables that he will be putting into bags for a food drive.

Factor number 24 and 60:

24=2\cdot 12=2\cdot 2\cdot 6=2\cdot 2\cdot 2\cdot 3=2^3\cdot 3\\ \\60=2\cdot 30=2\cdot 2\cdot 15=2\cdot 2\cdot 3\cdot 5=2^2\cdot 3\cdot 5

Find the greatest common factor

GCF(24,60)=2^2\cdot 3=12

Hence, the greatest number of bags William can make is 12.

Each of these bags will have 24\div 12=2 cans of fruit and 60\div 12=5 cans of vegetables.

If he made fewer bags, 6 bags, each of these bags will have 24\div 6=4 cans of fruit and 60\div 6=10 cans of vegetables.

If he made fewer bags, 4 bags, each of these bags will have 24\div 4=6 cans of fruit and 60\div 4=15 cans of vegetables.

If he made fewer bags, 3 bags, each of these bags will have 24\div 3=8 cans of fruit and 60\div 3=20 cans of vegetables.

If he made fewer bags, 2 bags, each of these bags will have 24\div 2=12 cans of fruit and 60\div 2=30 cans of vegetables.

7 0
3 years ago
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