A slope intercept form: y = mx + b where m = slope and b = y -intercept
A slope of 3/2 is given
So y = 3/2 x + b
To find b:
b = y - mx
A line passes through the point (4, -6)
b = -6 - (3/2)(4)
b = -6 - 6
b = - 12
Answer
Equation in slope intercept form: y = 3/2 x - 12
Answer:
<u>CIRCLE : CIRCLE</u>
Ratio of area is the scale factor squared. So find the radii of the two circles, square both values, and simplify the ratio.
<u>SQUARE : SQUARE</u>
Ratio of area is the scale factor squared, So find the side lengths of the two squares, square both values, and simplify the ratio.
<u>SQUARE : CIRCLE</u>
Using the formulas A = s*s and A = pi*r^2, find the areas of the circle and the square. Then simplify the ratio.
Let
x:adult tickets
y:youth tickets
We have
2x+3y=134
3x+2y=146
Rewritting
6x+9y=402
-6x -4y=-292
adding
5y=110
Clearing y:
y=110/5
y=22
Answer:
the price of a youth ticket is 22$
Answer:
Slope: -1/4; Y-Intercept: 1.5
Step-by-step explanation:
Step 1: Find the slope. The best way to do this is to transform the two given points to y=mx+b form. When given two points, the best way to find the slope will be to do y2-y1/x2-x1. In this equation it would be -2-0/2+6, which is -2/8, simplified is -0.25 or -1/4. So we have the slope, which can determine the length of the line.
Step 2: Find the Y-Intercept. Finding the Y-intercept is so much simpler when given a graph, since all you have to do is find where the line goes through the y-axis, which in this case is (0,1.5), meaning that the y-intercept is 1.5 <em>(note: the y-intercept can also be found when x=0, for example (0,9).</em>
Hope this helped, good luck!
First write what are given from the question
We write "<span>Craig scored 12 points in a game" as
</span>⇒ c = 12 <em>(first equation)</em>
We write "<span>Marla scored twice as many points as Craig but 5 fewer than Nelson scored" as
</span>⇒ m = 2c <em>(second equation)</em>
⇒ m = n - 5 <em>(third equation)</em>
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Second, find the expression for n based on what we write above
</span>From the second and third equation
⇒ m = m
⇒ n - 5 = 2c
Subtitute from the first equation
⇒ n - 5 = 2c
⇒ n - 5 = 2(12)
⇒ n - 5 = 24
This is the expression to find how many nelson scored
n - 5 = 24
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