I hope this helps you
m (ACD)=m (ABD)
4x+4=6x-14
2x=18
x=9
m (ACD)=4x+4 =4.9+4=40
Answer: The linear function y = 60x + 90 can be used to model the relationship between the hours and costs of a repair.
Step-by-step explanation:
In this model or function we will represent the number of hours by x and the cost by y.
Using that information we can generate two points , (8, 570) and (7,510)
Now to write a linear function we will need to find the slope which will be the cost per hour, and the y intercept which will be the initial amount .
To find the slope we will find the difference in the y coordinates of the points and divide it by the difference in the x coordinates.
570 - 510 = 60
8 - 7 = 1
Slope: 60 / 1 = 60
We will have to find the y intercept by using the formula y = mx + b.
We will input the x and y coordinates of a given point plus the slope into the formula to solve for b.
570 = 60(8) + b
570 = 480 + b
-480 -480
b = 90
Answer:
10×8×3 should give i the volume
Arcsin x + arcsin 2x = π/3
arcsin 2x = π/3 - arcsin x
sin[arcsin 2x] = sin[π/3 - arcsin x] (remember the left side is like sin(a-b)
2x = sinπ/3 cos(arcsin x)-cosπ/3 sin(arc sinx)
2x = √3/2 . cos(arcsin x) - (1/2)x)
but cos(arcsin x) = √(1-x²)===>2x = √3/2 .√(1-x²) - (1/2)x)
Reduce to same denominator:
(4x) = √3 .√(1-x²) - (x)===>5x = √3 .√(1-x²)
Square both sides==> 25x²=3(1-x²)
28 x² = 3 & x² = 3/28 & x =√(3/28)
3 times 3 is 9 and then you add 1, which would be 10.