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3 years ago

What is the slope of the line shown below?

Mathematics

2 answers:

VMariaS [17]3 years ago

6 0

Answer:

the answer is C

Step-by-step explanation:

you take 3,9 over 1,3... 3,9 so 9+ 3 over 3+ 1 it will look like a fraction 12/4 then

1, 3 you simply to get positive 3

kiruha [24]3 years ago

3 0

Answer:

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (3, 9) ← 2 points on the line

m = $\frac{9-3}{3-1}$ = $\frac{6}{2}$ = 3 → C

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The volume of sphere is increaseing

Artemon [7]

Volume of a sphere:

V = 4/3 π r ³

Differentiate V with respect to time t :

dV/dt = 4π r ² dr/dt

Surface area of a sphere:

A = 4π r ²

Differentiate A with respect to t :

dA/dt = 8π r dr/dt

You're given that the volume is increasing at a constant rate, dV/dt = 10 cm³/s, so

10 cm³/s = 4π r ² dr/dt

Solve for dr/dt (the rate of change of the sphere's radius):

dr/dt = 5/(2π r ²) cm³/s

Substitute this into the equation for dA/dt :

dA/dt = 8π r (5/(2π r ²) cm³/s)

dA/dt = 20/r cm³/s

At the moment the radius is r = 5 cm, the surface area is increasing at a rate of

dA/dt = 20/(5 cm) cm³/s = 4 cm²/s

When the surface area is increasing at a rate of dA/dt = 2 cm²/s, the radius r is such that

2 cm²/s = 20/r cm³/s

which happens when the radius is

r = 20/2 (cm³/s) / (cm²/s) = 10 cm

4 0

3 years ago

At a certain electronics company, the daily output Q is related to the number of people A on the assembly line by Q=600+√(A+41).

Ber [7]

Answer:

$A=400\ people$

Step-by-step explanation:

we have

$Q=600+\sqrt{A+41}$

where

Q -----> is the daily output

A -----> is the number of people

For Q=621

Find the value of A

substitute and solve for A

$621=600+\sqrt{A+41}$

Subtract 600 both sides

$621-600=\sqrt{A+41}$

$21=\sqrt{A+41}$

squared both sides

$21^{2} ={A+41}$

$441={A+41}$

Subtract 41 both sides

$441-41=A$

Rewrite

$A=400\ people$

3 0

2 years ago

The smaller triange was dilated to form the larger triangle. What is the value of x?

natka813 [3]

Answer:

x = 14

Step-by-step explanation:

As we can see that the bottom side is equivalent to 3 of the smallest triangle and the side of the larger triangle is equivalent to the 9

This represents that it is dilated by 3 factor

= 3 × 3

= 9

Now the other side i.e. 5 of the smallest triangle also need to be dilated by a 3 factor

So the new side is 15

Also the largest triangle is x + 1

So,

15 = x + 1

x = 14

4 0

3 years ago

What is the area of the triangle

ehidna [41]

Answer:

45.1 km^2

hope this helps

have a good day :)

Step-by-step explanation:

5 0

2 years ago

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There are 32 forwards and 80 guards in Leo's basketball league. Leo must include all players on a team and wants each team to ha

andre [41]

32 (forwards) /16 (team's) =2 forwards on each team 80 (gaurds) / 16 (team's) =5 gaurds on each team

5 0

3 years ago

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