Answer:
See below ~
Step-by-step explanation:
<u>Question 18</u>
- Diameter = Difference in y-coordinates
- Diameter = 12 - 2 = 10
- We know : Radius = Diameter/2
- Radius = 10/2
- Radius = 5 cm
- <u>(1) 5 cm</u>
<u></u>
<u>Question 19</u>
- 3x² - 34x - 24 = 0
- (3x + 2)(x - 12) = 0
- Solution set = {-2/3, 12}
- <u>(3) {-2/3, 12}</u>
Answer:
Step-by-step explanation:
Recall, if we have a polynomial of the form 
, then we say that a is a zero of multiplicity k and b is a zero of multiplicty m. For example, in the polynomial of the form 
-5 is a zero of multiplicity 10 and 2 is a zero of multiplicity 3. If we want to know the degree of the polynomial, just add the multiplicity of both zeros (13 in our example).
In this case, we know that the degree of our polynomial should be at least 3(multiplicity 2 and multiplicity 1). So, lets take the polynomial of the form
.
In here, a is a zero with multiplicity 1 and b is a zero with multiplicity 2. We are also given that
.
Which implies that 
. Since the square of any number is a positive number, it must happen that a>0. So, we have that
![b= \pm \sqrt[]{\frac{1}{a}}](https://tex.z-dn.net/?f=b%3D%20%5Cpm%20%5Csqrt%5B%5D%7B%5Cfrac%7B1%7D%7Ba%7D%7D)
.
We can choose any value of a and solve for b. Let us choose a=4. So we can have b=1/2 or b=-1/2. Let's use b=1/2. So our polynomial would be
which we can easily check that f(0)=-1.
Answer:
.55555555 infinitely or .556
Step-by-step explanation:
4x + 2 = -14
4x = -16
x = -4
4(-4) + 2 = -14
-16 + 2 = -14
-14 = -14
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Step-by-step explanation:
3(x - 5) = 6
x - 5 = 2 (divide 3 on both sides)
x = 7 (add 5 on both sides)
The solution is x = 7.
