Answer:
-3
Step-by-step explanation:
Slope = change of x over change of y
6 over 2
3
line goes down so slope is negative
-3
i can't tell you the answer, but i will teach you how to get it!!
first you convert it to a fraction, then you make it a decimal divide the top number by the bottom number, then you move the decimal two places to the right --> and add a percent symbol %
First you foil so you would get
0.5r+1.375=3
Then you subtract the 1.375 to the 3
0.5r=3-1.375
0.5r=2.375
Now to find r you need to divide by 0.5
r=2.375/0.5
Answer:

Step-by-step explanation:
we know that
If two figures are similar then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> scale factor
x-----> the volume of the dilated cone
y-----> the volume of the original cone

In this problem we have


substitute and solve for x



Yes
you let u = sin-1 x and dv = 1 ( so v = x)
and use the rule
INT udv = uv - INT vdu
= x sin^-1 x - INT x sin-1 x
u = sin-1 x so x = sin u
dx/du = cos u , du/dx = 1 / cos u = 1 / sqrt(1 - sin^2) = 1 / sqrt (1-x)^2
so substituting we have
INT sin-1(x) = x sin-1x - INT ( x / sqrt(1- x^2)
= x sun-1 x - ( - sqrt (1 - x^2)
= x sin-1 x + sqrt(1 - x^2) + C