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Butoxors [25]
3 years ago
10

The diameter of a circle is 16 units. What is the radius of the circle?

Mathematics
1 answer:
Licemer1 [7]3 years ago
3 0

Answer:

radius is diameter over two

Step-by-step explanation:

so 16 divided by two will be 8

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A polynomial function has a root of -4 with multiplicity of 4, a root of -1 with multiplicity of 3, and a root of 5 with multipl
Dmitrij [34]

Answer:

To draw this graph, we start from the left in quadrant 3 drawing the curve to -4 on the x-axis to touch it but not cross. We continue back down and curve back around to cross the x-axis at -1. We continue up past -1 and curve back down to 5 on the x-axis. We touch here without crossing and draw the rest of our function heading back up. It should form a sideways s shape.


Step-by-step explanation:


A polynomials is an equation with many terms whose leading term is the highest exponent known as degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.


This polynomial has roots -4, -1, and 5. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or the simple touch it and bounce back? The even or odd multiplicity - how many times the root occurs.


In this polynomial:


Root -4 has even multiplicity of 4 so it only touches and does not cross through.


Root -1 has odd multiplicity of 3 so crosses through.


Root 5 has even multiplicity of 6 so it only touches and does not cross through.


Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends point down. All even degree graphs will have this shape.


To draw this graph, we start from the left in quadrant 3 drawing the curve to -4 on the x-axis to touch it but not cross. We continue back down and curve back around to cross the x-axis at -1. We continue up past -1 and curve back down to 5 on the x-axis. We touch here without crossing and draw the rest of our function heading back up. It should form a sideways s shape.

7 0
3 years ago
Read 2 more answers
A university offers 3 calculus classes: Math 2A, 2B and 2C. In both parts, you are given data about a group of students who have
ankoles [38]

Answer:

4 students

Step-by-step explanation:

The total number of students is given by:

|A|+|B|+|C|-|A\cap B|-|A\cap C|-|B\cap C| + |A\cap B \cap C| = N

Where N is the total number of students, A is the number of students that have taken Math 2A, B is the number of students that have taken Math 2B, and C is the number of students that have taken Math 2C:

|A|+|B|+|C|-|A\cap B|-|A\cap C|-|B\cap C| + |A\cap B \cap C| = N\\51+80+70-15-20-13 +  |A\cap B \cap C|  = 157\\ |A\cap B \cap C| =4

4 students in Group A have taken all three classes.

*The number of students that have taken two classes has be subtracted so those students do not get counted twice

4 0
3 years ago
a window is shaped like a semicircle the base of the window has a diameter of 3 1/2 feet find the area of the window to the near
Fed [463]
B=55/3*1/31=55/93=.591ft
6 0
3 years ago
Read 2 more answers
The original price of an ice cream scoop is $4. How much will Nick pay if he buys it during the sale? (Will mark) (Show Work)
Mice21 [21]
He would buy it for 1 dollar
8 0
3 years ago
Let B be between a and C use the segment addition postulate to solve for W
fomenos

Answer:

Value of w = 6

Step-by-step explanation:

Given:

AB= 4w-4

BC = 2w-8

AC = 24

Find:

Value of w

Computation:

AB + BC = AC

4w - 4 + 2w - 8 = 24

6w - 12 = 24

6w = 24 + 12

6w = 36

w = 6

Value of w = 6

6 0
3 years ago
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