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2 years ago

A line passes through (10,7) and has a slope of 1/2. Write an equation in slope- intercept form for this line.

Mathematics

1 answer:

Alinara [238K]2 years ago

7 0

Answer:

y=1/2x+2

Step-by-step explanation:

first do 7=1/2(10)+b then after simplifying it you het 7=5+b then subtract 5 from both sides and you get 2=b

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A small moving box has a volume of 2304 inches cubed and length of 16 inches. The box's width and height are the same. Write the

lisabon 2012 [21]

Answer:

V = 16x²

Width = 12in

Height = 12in

Step-by-step explanation:

Volume of the box is expressed as;

V = Length *Width * height

Given

Length = 16in

Width = x

Height = x

The volume of the box will be expressed as;

V = 16 * x * x

V = 16x² (This gives the required equation)

To get x:

We are given

V = 2304in³

Substitute;

2304 = 16x²

x² = 2304/16

x² = 144

x= √144

x = 12

Hence the width and the height are both 12inches since they are the same.

For the sma

8 0

2 years ago

Pete's monthly housing budget is $2,250. His monthly costs are $215.75 for insurance, $143.50 for utilities, and $273 for taxes.

kogti [31]

Answer should be b hope it helps

4 0

2 years ago

Which graph represents this system? 3x+2y=-6 y=-3/2x+2

Eva8 [605]

Answer: look at the picture

Step-by-step explanation: hope this help:)

3 0

2 years ago

A 120 lb. person would weigh about 20 lb. on the earth's moon. A 150 lb. person would weigh 28 lb. on Io, a moon of Jupiter. Whi

____ [38]

Answer:

Step-by-step explanation:

Earth's moon makes a person weigh about 1/6 of their Earth weight. Io makes a person weigh more than that, because 1/6 of 150 pounds is 25 pounds.

5 0

3 years ago

How do I factor x^4-5x^2+6?

Vilka [71]

Answer:

$=(x^2-3)(x^2-2)$

Step-by-step explanation:

So we have the expression:

$x^4-5x^2+6$

And we wish to factor it.

First, let's make a substitution. Let's let u be equal to x². Therefore, our expression is now:

$=u^2-5u+6$

This is a technique called quadratic u-substitution. Now, we can factor in this form.

We can use the numbers -3 and -2. So:

$=u^2-2u-3u+6$

For the first two terms, factor out a u.

For the last two terms, factor out a -3. So:

$=u(u-2)-3(u-2)$

Grouping:

$=(u-3)(u-2)$

Now, substitute back the x² for u:

$=(x^2-3)(x^2-2)$

And this is the simplest form.

And we're done!

3 0

2 years ago