PLS HURRY WILLL GIVE BRAINLIEST!!! Which is the simplified form of ( 9c^-9 )^-3 ?

A line passes through the point (-8,9) and has a slope of 5/4.

Masteriza [31]

Answer:

The answer is

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

$y - y_1 = m(x - x_1)$

where

m is the slope

( x1 , y1) is the point

From the question the point is (-8,9) and slope 5/4

The equation of the line is

$y - 9 = \frac{5}{4} (x + 8) \\ y - 9 = \frac{5}{4} x + 10 \\ y = \frac{5}{4} x + 10 + 9$

We have the final answer as

$y = \frac{5}{4} x + 19 \\$

Hope this helps you

5 0

4 years ago

A soup can in the shape of a right circular cylinder is to be made from two materials. The material for the side of the can cost

Advocard [28]

Answer:

Radius = 1.12 inches and Height = 4.06 inches

Step-by-step explanation:

A soup can is in the shape of a right circular cylinder.

Let the radius of the can is 'r' and height of the can is 'h'.

It has been given that the can is made up of two materials.

Material used for side of the can costs $0.015 and material used for the lids costs $0.027.

Surface area of the can is represented by

S = 2πr² + 2πrh ( surface area of the lids + surface are of the curved surface)

Now the function that represents the cost to construct the can will be

C = 2πr²(0.027) + 2πrh(0.015)

C = 0.054πr² + 0.03πrh ---------(1)

Volume of the can = Volume of a cylinder = πr²h

16 = πr²h

$h=\frac{16}{\pi r^{2}}$ -------(2)

Now we place the value of h in the equation (1) from equation (2)

$C=0.054\pi r^{2}+0.03\pi r(\frac{16}{\pi r^{2}})$

$C=0.054\pi r^{2}+0.03(\frac{16}{r})$

$C=0.054\pi r^{2}+(\frac{0.48}{r})$

Now we will take the derivative of the cost C with respect to r to get the value of r to get the value to construct the can.

$C'=0.108\pi r-(\frac{0.48}{r^{2} })$

Now for C' = 0

$0.108\pi r-(\frac{0.48}{r^{2} })=0$

$0.108\pi r=(\frac{0.48}{r^{2} })$

$r^{3}=\frac{0.48}{0.108\pi }$

r³ = 1.415

r = 1.12 inch

and h = $\frac{16}{\pi (1.12)^{2}}$

h = 4.06 inches

Let's check the whether the cost is minimum or maximum.

We take the second derivative of the function.

$C"=0.108+\frac{0.48}{r^{3}}$ which is positive which represents that for r = 1.12 inch cost to construct the can will be minimum.

Therefore, to minimize the cost of the can dimensions of the can should be

Radius = 1.12 inches and Height = 4.06 inches

5 0

3 years ago

A store sells baskets for 50% off the retail price. The retail price of a basket is $24. What is the sale price?

Mnenie [13.5K]

12 I think because 50 percent is half

7 0

3 years ago

Read 2 more answers

Which statements can be used to prove that ABC and A’B’C are congruent?

Nadusha1986 [10]

Answer:

O A.

Step-by-step explanation:

Option A identifies two angles (sufficient for similarity) and one side, sufficient (with similarity) for congruence. The applicable congruence theorem is AAS.

Option B identifies two sides and the angle not between them. The two triangles will be congruent in that case only if the angle is opposite the longest side, which is not true in general.

Option C same deal as Option A.

Option D identifies three congruent angles, which will prove the triangles similar, but not necessarily congruent.

7 0

3 years ago

In ΔRST, the measure of ∠T=90°, RS = 90 feet, and TR = 76 feet. Find the measure of ∠S to the nearest tenth of a degree.

Rama09 [41]

Answer:

57.6

Step-by-step explanation:

6 0

3 years ago