3 years ago

Find the slope of the line from the table:

Mathematics

1 answer:

Nostrana [21]3 years ago

7 0

Answer:

Y = 3x - 1

Step-by-step explanation:

Y = mx + b

Y = 3 - 1

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Y = 3x - 1

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Find an equation of the sphere which contains points A(1, 3, 2) and B(4, 3, 7) and the distance between A and B is equal to the

Marina86 [1]

Answer:

The answer is 8.5=(x-2.5)^2+(y-3)^2+(z-4.5)^2

Step-by-step explanation:

First we need to find diameter of the sphere. The distance point A and point B is:

$d=\sqrt{(4-1)^2+(3-3)^2+(7-2)^2} \\d=\sqrt{3^2+0^2+5^2} \\d=\sqrt{34} \\d=5.83$

d/2=r=2.92

radius of the sphere is 2.92 units

and the center of the sphere is:

C=((4+1)/2,(3+3)/2,(7+2)/2)

C=(2.5,3,4.5)

We can write the equation of the sphere as:

$r^2=(x-2.5)^2+(y-3)^2+(z-4.5)^2\\8.5=(x-2.5)^2+(y-3)^2+(z-4.5)^2$

4 0

3 years ago

Solve the following equations.<br> 3 ⋅ 62^x = 648

gayaneshka [121]

Answer:

$x=1.56861$

Step-by-step explanation:

$62^x=648$

By using logarithms it becomes easier to solve this question because of the properties they have

From the property of logarithms

$loga^x=xloga$

Take logarithms on both sides

$log62^x=log648$

$\Rightarrow xlog62=log648$

$\Rightarrow x=\frac{log648}{log62}$

$\Rightarrow x=1.56861$

$x=1.56861$

7 0

3 years ago

If your the bus driver and you have 30 kids on the bus. But the first stop 10 kids get off the bus how old is the bus driver?

ozzi

Answer:

P.ut your age since you're the bus driver

Step-by-step explanation:

Hope this helps!

3 0

2 years ago

Solve the system 2x-2y=10 4x-5y=17

stiv31 [10]

Multiply 2x-2y=10 by 2,
4x-4y=20,
given:4x-5y=17
y=3
pluck it in
2x-6=10
move the 6 to the right
2x=16
divide
x=8
y=3

8 0

3 years ago

Read 2 more answers

Solve the equation (z-5)/-7=11

Lorico [155]

Z = -72

Ask me in the comments section if you want the equation solved step-by-step.

Hope this helped!

4 0

3 years ago