Answer:
A) 12 / 13
Step-by-step explanation:
The Sine of a number is defined as the ratio of the length of the side opposite the angle, divided by the length of the hypotensue.
One gallon can of paint will cover up to 400 square feet, which is enough to cover a small room like a bathroom. Two gallon cans of paint cover up to 800 square feet, which is enough to cover an average size room. This is the most common amount needed, especially when considering second coat coverage.
Answer:
D.(2,-1,-1)
Step-by-step explanation:
-a+4b+2c=-8
3a+b-4c=9
b = -1
Substitute b=-1 into the other equations
-a -4 +2c = -8
3a -1 -4c =9
Multiply the first equation by 2 so we can eliminate c
-2a -8 +4c = -16
Add this to the second equation
-2a -8 +4c = -16
3a -1 -4c =9
-----------------
a -9 = -7
Add 9 to each side
a-9+9 = -7+9
a =2
b=-1
Now we need to find c
-a +4b +2c = -8
-2 -4 +2c = -8
-6+2c = -8
Add 6 to each side
-6+6 +2c = -8+6
2c = -2
Divide by 2
2c/2 = -2/2
c=-1
(2,-1,-1)
The beginning formula that you start with is y=m(x)+b
after the problem is written into the formula your ready to start.
It should look like this:
26y=-0.4(1)+b
to get the entire formula you've gotta find the
y-intercept or "b"
to start solving multiply the "m" by the "x" A.K.A:
-0.4×1
you should come up with the answer -0.4 since everything multiplied by 1 is still the same thing depending on if its positive or negative
after you've finished solving the multiplication part the equation should look slightly different like this:
26y=-0.4+b
the next step is the get "y" by itself since right now is a variable.
also you should always remember what ever process of simplifying by the same number to get rid of it in a "y=m(x)+b" equation should be done the same to the other side
take a look at the "-" sign in front of 0.4 this would mean that you are going to do the oppisite opperation to cancel it out so you would be adding the same number to either side. after adding the -0.4 to itself that would leave "b" by itself the problem should now look like this:
(26y+0.4)=b
forget about the y for now and focus on the (26+0.4)
you should get 26.4=b
insert this into the original equation of "y=m(x)+b" and this should look like this:
y=-0.4(x)+12.4
Slope of AB
m = (y2 - y1)/(x2 - x1)
m = (11 - (-4))/(2 - (-1))
m = (11 + 4)/(2 + 1)
m = 15/3
m = 5
The slope of line AB is 5
Slope of CD
m = (y2 - y1)/(x2 - x1)
m = (10 - 1)/(4 - 1)
m = 9/3
m = 3
The slope of CD is 3
Since the two slopes are not equal, this means the lines are not parallel.
Since (slope of AB)*(slope of CD) = 5*3 = 15 is not equal to -1, this means the lines are not perpendicular
Answer: Neither (not parallel; not perpendicular)
