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ivann1987 [24]
2 years ago
9

A (1,7) B(8,-5) distance formula

Mathematics
1 answer:
Over [174]2 years ago
4 0

Answer:

The distance betweem the two points is about 14

Step-by-step explanation:

The distance formula is d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

According to the problem: x_{2}=8, x_{1} =1, y_{2} =-5, and y_{1} =7

Substitute these numbers into the problem to get d=\sqrt{(8-1)^{2}+(-5-7)^{2}}

(8-1)^2=(7)^2=49

(-5-7)^2=(-12)^2=144

\sqrt{49+144}=\sqrt{193}  =13.8923349894

You can round this number to approximately 14.

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Write an equation of the line in slope-intercept form that is parallel to the line y= -4 + 2 and passes through (2,4)
garik1379 [7]

Answer:

Step-by-step explanation:

If the lines are parallel, it means that the slopes are the same.  To write an equation in the slope intercept form, we need the slope and the y-intercept.  We are given the slope.  We need to find the y-intercept.  We can use the slope and the point to help us.  The point is written in the form (x,y).  In this case the point is (2,4) so we will use 2 for x and 4 for y.

y = mx + b  Plug in what we know

4 = -4(2) + b  b is what we are looking for.  It is the y-intercept

4 = -8 + b  Now add 8 to both sides

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2 years ago
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Step-by-step explanation:

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3 years ago
The expression 27 + 45 as a product using the GCF and distributive property.
Bogdan [553]

Answer:

(a) By Greatest Common Factor:   (27 + 45 ) = 3( 9 + 15)

(b) By distributive property:   (27 + 45 )  = 9(3) +  9(5)

Step-by-step explanation:

Here, the given expression is 27 + 45 .

Now, by Prime Factorization:

27 = 3 x 3 x 3

45 = 3 x 3 x 5

Here, the 3 is the ONLY prime common factor.

So, the Greatest Common Factor = 3

⇒ (27 + 45 ) = 3( 9 + 15)

Hence, by  Greatest Common Factor:   (27 + 45 ) = 3( 9 + 15)

Now, by distributive property:

A( B + C)  = AB + AC

Here, in the given expression:

(27 + 45 ) = 9 ( 3 + 5)  = 9(3) +  9(5)

or, (27 + 45 )  = 9(3) +  9(5)

Hence, by distributive property:   (27 + 45 )  = 9(3) +  9(5)

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3 years ago
If a = 3 and b = 5.what is the value of a2 + B2?
mariarad [96]

Answer:

16

Step-by-step explanation:

If you replace the variables with what they equal and multiply then you should get 6+10 which equals 16.

3 0
4 years ago
Read 2 more answers
Fully factored form:<br> F(x)= (2x - 3)(x + 3)[x - (2 - 0)][x - (2 + 1)]
Damm [24]
35 hope this helps!!!!
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4 years ago
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