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
</u>
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
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.
Answer:
(3,5),(3,1),(5,7)
Step-by-step explanation:
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