To find the y-intercept, we can convert this to slope-intercept form, or replace the value of x with 0 and solve for y.
We'll do both first.
-x + 5y = 45
5y = 45
Divide both sides by 5.
y = 9
Now let's convert it to slope-intercept.
-x + 5y = 45
Add x to both sides.
5y = 45 + x
Divide both sides by 5.
y = 1/5x + 9
y = 9
<h3><u>The y-intercept of our line is 9.</u></h3>
Answer:
1. Right Triangle
2. Not Right Triangle
3. Not Right Triangle
Step-by-step explanation:
1. 28² + 45² = 2809 --> 53² = 2809
2. 6² + 6² = 72 --> 8² = 64
3. 4² + 10² = 116 --> 12² = 144
We find the value for s here.
8s = 1/2
1/2 divided by 8/1 = 1/2 * 1/8 = 1/16
s = 1/16
Answer:
find the bottom angle of the triangle on the right side.
180 - 92 = 88
Now find x
88+36 = 124
180-124 = <u>56 = x</u>
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Hope that answers your question
Don't hesitate to comment if you are confused about something
Step-by-step explanation:
For part A: you will get 3 linear factors (as the degree of the polynomial is 3). perform the division using (x-1) as your known factor and you will get (x-1)(2x²+11x+15). you can then factor the (2x²+11x+15) to get 2x^3 + 9x^2 + 4x - 15 = (x-1)(2x+5)(x+3)
for part B: since 2x+5 will provide the greatest value (assuming x>0) of the 3 factors, then 2x+5=13. solve to get x=4. if x is 4, then the dimensions are 3'x13'x7' [just sub 4 into the x's for each factor]
for part C: as to the graphing calculator, I don't have one. However, if you solve each linear factor for when it is 0, those values will be the x-intercepts. So your graph should cross the x-asix at 1, -5/2, and -3
