Answer:
Step-by-step explanation:
-2x + 3y = 6.....(x, -4)...so y = -4
-2x + 3(-4) = 6
-2x - 12 = 6
-2x = 6 + 12
-2x = 18
x = -18/2
x = -9
so the value of x is -9.....(-9,-4)
Answer:
The perimeter is
cm.
Step-by-step explanation:
Perimeter is found by adding all sides of the triangle together. So, this is what we need to find: 
- Only <u>like radicals</u> can be added or subtracted from one another. They'll have the same root number (which seems to be true for this question) as well as the radicand, which is the number/expression under the radical.
Look at the number under the radical: 7, 63, and 28. These numbers all share a factor of 7: 7/7 = 1, 63/7 = 9, 28/7 = 4.
Notice how 9 and 4 are perfect squares, so we can simplify the radicals using this common factor of 7.
remains the same;
; and
. Now they are like radicals and can be added!

45 = (x) + (x + 1) + (x + 2)
45 = 3x + 3
- 3
42 = 3x
/3
14 = x
45 = 14 + (14 + 1) + (14 + 2)
45 = 14 + 15 + 16
The ages of the 3 friends are 14, 15, and 16.
Problem 1
<h3>Answer: D) 2pi</h3>
-------------------
Explanation:
The given table we have is

If you were to graph all those points and draw a cosine curve through them, then the function you should get is

The B coefficient is 1, so that leads to a period of
T = 2pi/B
T = 2pi/1
T = 2pi
=============================================
Problem 2
<h3>Answer: C)
343.134 yards</h3>
-------------------
Explanation:
Draw out a triangle with these properties
- side a = 270
- side b = 170
- angle C = 100
We'll use the law of cosines to find side c
c^2 = a^2 + b^2 - 2*a*b*cos(C)
c^2 = 270^2 + 170^2 - 2*270*170*cos(100)
c^2 = 117740.902710
c = sqrt(117740.902710)
c = 343.133943
c = 343.134
=============================================
Problem 3
<h3>Answer: A) 2</h3>
-------------------
Explanation:
If you started with y = sin(x) and applied the transformations stated, then you should end up with 
From here, plug in x = 0 to find the y intercept.

Answer:
12.5%
Step-by-step explanation:
There is only one number 5 from a total of 8 parts.
1 out of 8.
1/8 = 0.125
P(5) = 12.5%