Answer:
1) $63.60
2) y=8x-6
Step-by-step explanation:
1) $233.20 divided 11 hours is a hourly rate of $21.20. $21.20 multiplied by 3 hours is $63.60.
2) To find the slope you need
. (10-2)/(2-1) is 8. The slope is 8. So you have y=8x+b. To find b just plug in a point and solve. 2=8(1)+b. B= -6. y=8x-6
Answer:
5x+4y = 52
Step-by-step explanation:
We can first write the equation in point slope form
y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point
y - 8 = -5/4 ( x-4)
Multiply each side by 4 to get rid of the fraction
4(y - 8) = 4*(-5/4) ( x-4)
4(y - 8) = -5 ( x-4)
Distribute
4y - 32 = -5x+20
We want the equation in the form
Ax + By = C
Add 5x to each side
5x+4y -32 = -5x+5x+20
Add 32 to each side
5x+4y -32+32 =32+20
5x+4y = 52
Answer: 771 3/8
Step-by-step explanation:
15 3/8+756
we can apply the assosiative propery and do 15+756+3/8
so 15+756= 771
so finally you do 771+3/8=771 3/8
X-2 for x=-3
-3-2=-5, add dem negatives
Θ
=
arcsin
(
.7
4.2
)
≈
10
∘
Explanation:
We view the ramp as a right triangle. The hypotenuse is 4.2 and the vertical side .7, which is opposite the angle
θ
we seek.
sin
θ
=
.7
4.2
=
1
6
I'm going to finish the problem but I'll note if we were actually building the ramp we don't need to know the angle; this sine is sufficient.
θ
=
arcsin
(
1
6
)
θ
≈
10
∘
which I think is a pretty steep ramp for a wheelchair.
There will be another inverse sine that is the supplementary angle, around
170
∘
, but we can rule that out as a value for a ramp wedge angle.