Answer:
5. m<1 = 114 degrees
m<2 = 66 degrees
6. 2x + 3x + 4x = 9x = 180, x = 20
7. 3
8. 1/3
<em>Hope that helps!</em>
<em>-scsb</em>
Step-by-step explanation:
A) For the equation

, the slope is

.
Slope-intercept form is y = mx + b, where m is slope and b is the y-intercept. This means that if

, the slope is

.
B) Since this equation is in the same form, you just find what m is equal to.
Since

, that's the slope.
For the solution, set

equal to

, so it would be put together like this:
![y=[tex]- \frac{1}{2}x+3=2x-4\\ -\frac{1}{2}=2x-7\\ 1\frac{1}{2}x=-7\\ x=-4.66667](https://tex.z-dn.net/?f=y%3D%5Btex%5D-%20%5Cfrac%7B1%7D%7B2%7Dx%2B3%3D2x-4%5C%5C%20-%5Cfrac%7B1%7D%7B2%7D%3D2x-7%5C%5C%201%5Cfrac%7B1%7D%7B2%7Dx%3D-7%5C%5C%20x%3D-4.66667)
So your answer is
-4.667.
Answer:
A: Yes, As more gallons are used the longer the shower is
B: 5 minutes, 20 minutes
C: (30,10), someone who uses 30 gallons of water will be in the shower for 10 minutes
D: I'm going to assume that your teacher wants you to find the slope in which I will use the slope formula and the points (0,0) and (30,10)
(10-0)/(30-0)=1/3=.33333 which means that for every gallon of water used you will be in the shower for .33333 minutes longer
Step-by-step explanation:
A: Yes, As more gallons are used the longer the shower is
B: 5 minutes, 20 minutes
C: (30,10), someone who uses 30 gallons of water will be in the shower for 10 minutes
D: I'm going to assume that your teacher wants you to find the slope in which I will use the slope formula and the points (0,0) and (30,10)
(10-0)/(30-0)=1/3=.33333 which means that for every gallon of water used you will be in the shower for .33333 minutes longer
He will need 527.52 cubic centimeters of wax. You divide the diameter by 2 ten multiply that number by itself to get the circumference. From there you multiply it by 12 then by 4 and there's your answer
Answer:
D one real solution
Step-by-step explanation:
x^2 - 8x + 16 = 0
This is in the form
ax^2 +bx + c = 0
so we can use the discriminant to determine the number of solutions
b^2 -4ac
(-8)^2 -4(1)(16)
64 - 64
0
Since the discriminant is zero, there is one real solution.