Answer:
f(x) = -1x + 1
Step-by-step explanation:
f(x) = mx + b
the equation above is slope intercept form. in order to make it you need a slope and a y intercept. you were given the slope, so now you need a y intercept. but where would you find that??? look no farther than the point you were given, (1,1). the y intercept is the second number in the parentheses. next you take your slope and your y-intercept and place them in.
f(x) = -1x + 1
hope i could help
Answer:
6 units above the x-axis
Step-by-step explanation:
The pair (9,6) are a set of coordinates that indicate how far away from the origin (0,0) the point is.
The coordinates are written (x,y) where 'x' is how far to the left or right of the y-axis (vertical) the point is. The 'y' is how far above or below the x-axis (horizontal) the point is.
So in this case, the set of (9,6) means that the point is located at 9 units to the right of the origin and the y-axis and 6 units above the x-axis
Answer:
Step-by-step explanation:
The first thing we have to do is find the measure of angle A using the fact that the csc A = 2.5.
Csc is the inverse of sin. So we could rewrite as
or more easy to work with is this:
and cross multiply to get
2.5 sinA = 1 and
which simplifies to
sin A = .4
Using the 2nd and sin keys on your calculator, you'll get that the measure of angle A is 23.58 degrees.
We can find angle B now using the Triangle Angle-Sum Theorem that says that all the angles of a triangle have to add up to equal 180. Therefore,
angle B = 180 - 23.58 - 90 so
angle B = 66.42
The area of a triangle is
where h is the height of the triangle, namely side AC; and b is the base of the triangle, namely side BC. To find first the height, use the fact that angle B, the angle across from the height, is 66.42, and the hypotenuse is 3.9. Right triangle trig applies:
and
3.9 sin(66.42) = h so
h = 3.57
Now for the base. Use the fact that angle A, the angle across from the base, measures 23.58 degrees and the hypotenuse is 3.9. Right triangle trig again:
and
3.9 sin(23.58) = b so
b = 1.56
Now we can find the area:
so
A = 2.8 cm squared
Answer: 77
<u>Step-by-step explanation:</u>
varies directly means: 
Step 1: solve for k ⇒ ⇒ 7 = k
Step 2: input the given value and the k-value to find the unknown value: 
y = 11(7)
y = 77
1/2 x 1/2 x 1/2 x 1/2 x 1/2 x 1/2 = 1/64.
I think there is is 1/64 chance.
