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Firlakuza [10]
3 years ago
7

Help please!!!!

Mathematics
1 answer:
NikAS [45]3 years ago
5 0
468

You can get this by finding the area of each individual rectangle. 
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(K3+2k2-82k-28)/(k+10)
Ne4ueva [31]

So for this, we will be using synthetic division. To set it up, have the equation so that the divisor is -10 (since that is the solution of k + 10 = 0) and the dividend are the coefficients. Our equation will look as such:

<em>(Note that synthetic division can only be used when the divisor is a 1st degree binomial)</em>

  • -10 | 1 + 2 - 82 - 28
  • ---------------------------

Now firstly, drop the 1:

  • -10 | 1 + 2 - 82 - 28
  •       ↓
  • -------------------------
  •        1

Next, you are going to multiply -10 and 1, and then combine the product with 2.

  • -10 | 1 + 2 - 82 - 28
  •       ↓ - 10
  • -------------------------
  •        1 - 8

Next, multiply -10 and -8, then combine the product with -82:

  • -10 | 1 + 2 - 82 - 28
  •       ↓ -10 + 80
  • -------------------------
  •        1 - 8 - 2

Next, multiply -10 and -2, then combine the product with -28:

  • -10 | 1 + 2 - 82 - 28
  •       ↓ -10 + 80 + 20
  • -------------------------
  •        1 - 8 - 2 - 8

Now, since we know that the degree of the dividend is 3, this means that the degree of the quotient is 2. Using this, the first 3 terms are k^2, k, and the constant, or in this case k² - 8k - 2. Now what about the last coefficient -8? Well this is our remainder, and will be written as -8/(k + 10).

<u>Putting it together, the quotient is k^2-8k-2-\frac{8}{k+10}</u>

8 0
3 years ago
Find the unit rate<br> 180 miles in 4 hours =<br> miles per hour
Andrei [34K]

Answer:

= 45 miles per hour

Step-by-step explanation:

First, we want a unit rate where 1 is in the denominator.

So we divide,

180 miles/ 4 hours both ÷ by 4

= 45 miles/ 1 hour

= 45 miles/ hour

= 45 miles per hour

5 0
3 years ago
How to find the constant of variation for the quadratic variation?
xeze [42]
Put the values you know in the formula and solve for the constant of variation.
.. y = kx^2
.. k = y/x^2 . . . . . fill in values for y and x and compute.
7 0
3 years ago
The ordered pairs (1,3),(3,5),(5,7) Represent a function what is a rule that represents this function
mash [69]

Answer:

(3,5),(3,1),(5,7)

Step-by-step explanation:

4 0
3 years ago
3/4√5-√3 + 2/4√5+√3 =b√3+a√5 find the value of b and a
Zielflug [23.3K]

Answer:

a = 5 / 4

b = 0

Step-by-step explanation:

3/4√5 - √3 + 2/4√5 + √3 = b√3 + a√5

3/4√5 + 2/4√5 + √3 - √3 = b√3 + a√5

5/4√5 + 0 = b√3 + a√5

0 + 5/4√5 = b√3 + a√5

b√3 = 0

b = 0 / √3

b = 0

a√5 = 5/4√5

a = 5/4√5 / √5

a = 5 / 4

3 0
3 years ago
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