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vlabodo [156]
3 years ago
5

Determine which relation is a function. A. Number graph ranging from negative four to four on the x and y axes. Points are drawn

on the graph at (negative four, three), (negative two, one), (negative one, three), (negative one, negative one), (one, one) and (two, negative one). B. Number graph ranging from negative four to four on the x and y axes. Points are drawn on the graph at (negative two, one), (negative two, negative two), (negative one, three), (zero, one), (two, zero) and (two, negative two). C. Number graph ranging from negative four to four on the x and y axes. Points are drawn on the graph at (negative two, one), (negative one, three), (zero, two), (zero, negative one), (one, three) and (two, one). D. Number graph ranging from negative four to four on the x and y axes. Points are drawn on the graph at (negative four, three), (negative three, negative one), (negative two, negative two), (negative one, zero), (two, zero) and (three, two).
Mathematics
1 answer:
Soloha48 [4]3 years ago
8 0
A) is not a function because you have two X values of -1

B) is not a function because you have two X values of -2

C) is not a function because you have two X values of 0

D) This is a function because all X values are different.
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How do you solve this problem?
jekas [21]
Very nice problem. You should look up the history of this question. It has a very long one having to do with mirrors made between 50 BC and 50 AD.

Step One
Find AB, BC, AC
Before beginning this problem, I'm going to arbitrarily name 
c = AB
a = BC
b = AC It just makes the calculations easier.

AB = radius of the large circle - radius of the medium circle = 20.62 - 8.04 = 12.58
BC = Radii of the two smaller circles added together = 8.04 + 7.35 = 15.39
AC = Radius of the large circle - Radius of the small circle = 20.62 - 7.35 = 13.27

So
a = 15.39
b = 13.27
c = 12.58

Step Two
Find Angle A or <BAC
a^2 = b^2 + c^2 - 2*b*c * Cos(A)
15.39^2 = 12.58^2 + 13.27^2 - 2 * 12.58 * 13.27 * Cos(A)
236.852 = 158.26 + 176.1 -  333.87 * Cos(A)
236.852 = 334.4 - 333.87*Cos(A)
-97.55 = - 333.87 *  Cos(A) 
-97.55 / -333.87 = Cos(A)
0.2922 = cos(A)
A = cos-1(0.2922)
A = 73.01 degrees

Step Three
Just to see if you understand what was done, I'll give you the givens for finding c, and the answer and you can work through the calculations to see if your answer agrees with mine. If it doesn't PM me.
c = 12.58
b = 13.27
a = 15.39

12.58^2 = 13.27^2 + 15.39^2 - 2*13.27*15.39*Cos(C)
C = 51.42

Step Four
Find <B
Every triangle has 180 degrees so
B = 180 - <A - C
B = 180 - 51.42 - 74.01
B = <54.57. 
I have found a moderator who opened the question up so that I can show you why the Cos law is the only way to do this. If the circles are very disproportionate as in this diagram, then no simple assumption can be made. The cos law is all that will work. I would have posted this earlier, but I didn't think anyone would find another method. It's ingenious but not possible for the situation below.

3 0
3 years ago
7. Find the distance between the points (13, 8) and (-12, 6)
Alik [6]

9514 1404 393

Answer:

  √629 ≈ 25.08

Step-by-step explanation:

The distance formula is useful for this.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((-12 -13)² +(6 -8)²) = √(625 +4) = √629 ≈ 25.08

The distance between the points is about 25.08 units.

3 0
2 years ago
How do you solve this
MissTica

Answer:

The Area is 72.

Step-by-step explanation:

A=1/2d^2

A=1/2(12)^2

A= 1/2(144)

A=72

<em>Hope I helped, Brainliest would be appreciated :) </em>

<em> Have a fantastic day! </em>

<em>                   -Aadi x</em>

5 0
3 years ago
Maria and Nate graphed lines on a coordinate plane. Maria's line is represented by the equation y = -5/6x +8. Nate's line is per
eduard

Answer:

c)   6x - 5y = 15

Step-by-step explanation:

Slope-intercept form of a linear equation:  y=mx+b

(where m is the slope and b is the y-intercept)

Maria's line:  y=-\dfrac{5}{6}x+8

Therefore, the slope of Maria's line is -\frac{5}{6}

If two lines are perpendicular to each other, the product of their slopes will be -1.

Therefore, the slope of Nate's line (m) is:

\begin{aligned}\implies m \times -\dfrac{5}{6} &=-1\\m & =\dfrac{6}{5}\end{aligned}

Therefore, the linear equation of Nate's line is:

y=\dfrac{6}{5}x+b\quad\textsf{(where b is some constant)}

Rearranging this to standard form:

\implies y=\dfrac{6}{5}x+b

\implies 5y=6x+5b

\implies 6x-5y=-5b

Therefore, <u>option c</u> could be an equation for Nate's line.

3 0
2 years ago
The base length of a triangle is 8 feet and the height is 4 feet. What is the area of the triangle?
sweet [91]
8x4=32
32 divided by 2 = 16
the answer is 16 square feet

hope this helps :)
3 0
3 years ago
Read 2 more answers
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