Answer:
Geometric proof in explanation.
Step-by-step explanation:
Draw an equilateral triangle.
A equilateral triangle has it's sides all congruent and all it's angles measures 60 degrees.
We are going to draw a line segment to cut the equilateral triangles into two congruent right triangles. I will do this in the attachment with p being positive.
You can see we will get 30-60-90 triangles.
We don't need to find the adjacent measurement to the angle whose measurement is 30 degrees since sine is opposite over hypotenuse.
Answer: 6.1% decrease
Note: It appears that your teacher doesn't want you to type in the percent sign, as that's already covered for you.
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Explanation:
The salary decreased by 51500-48355 = 3145
Divide this over the initial salary to get 3145/51500 = 0.0611 which is approximate.
This converts to the percentage 6.11% and that rounds to 6.1%
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As an alternative, you can use the formula method below
A = old value = 51500
B = new value = 48355
C = percent change when going from A to B
C = [ (B-A)/A ] * 100%
C = [ (48355-51500)/51500 ] * 100%
C = (-3145/51500)*100%
C = -0.0611*100%
C = -6.11%
C = -6.1%
The negative C value indicates a percent decrease.
Answer:
8x+6y
Step-by-step explanation:
add the coefficients of like terms with the same variable
Slope intercept form is y=mx+b where m is the slope and b is the y part of an intercept where x is 0. So the equation for slope (y1-y2)/(x1-x2) with y1 and y2 the y values of 2 points and x1 and x2 those points' x values, so if you would use the points (-2,0) and (0,5) (I used intercepts because they are easier, but you can use any points on the line) you would get (0-5)/(-2-0) and then 5/2 for the slope. plugging in then you get y=5/2*x+5
Answer:
(10,9) P=10
Step-by-step explanation:
find the slope first: y2-y1/x2-x1=(3-1)/1-(-2)=2/3
y=2/3x+b
find b:
3=2/3(1)+b
b=3-2/3
b=7/3
now we find P
(p,9) input the y in the equation
y=2/3 x+7/3
9=2/3x+7/3
9-7/3=2/3x
x=10
