3 years ago

Suppose you are given that a=b+2 and b+2=5. What can you prove by using these statements and the Transitive Property?

Mathematics

1 answer:

Nataliya [291]3 years ago

4 0

You can prove that a=5, b=3, 5=3+2 and a=b+2.

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Find the point on the line y = 3x + 2 that is closest to the origin.

anzhelika [568]

1.
the slope of the line y=3x+2 is the coefficient of x, that is 3.

2.
the slope of any line perpendicular to the line y=3x+2, is m, such that:

$3*m=-1$

so $m= \frac{-1}{3}$

3.
so any line with equation y=-1/3x+k is perpendicular to y=3x+2.

moreover, the line y=-1/3x (so k=0) is the line passing through the origin
(0, 0) and perpendicular to y=3x+2

4. This means that the closest point of y=3x+2 to the origin is the intersection point of lines y=3x+2 and y=-1/3x

5.
to find this point:

3x+2=(-1/3)x
x(3+1/3)=-2
x(9/3+1/3)=-2

x*10/3=-2

$x= \frac{-2*3}{10} = \frac{-6}{10}=-0.6$

thus y is : (-1/3)(-6/10)=0.2

Answer: (-0.6, 0.2)

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3 years ago

A homeowner puts a passcode-enabled lock on her front door. To choose a passcode, she must choose a number, a letter from a list

Daniel [21]

Answer:

500

Step-by-step explanation:

I assume each number is from 0 to 9. Also there are 5 letters.

10 * 5 * 10 = 500

4 0

2 years ago

The graph shows how the length of time a bicycle is rented is related to the rental cost. What is the rate of change shown in th

ANTONII [103]

Answer:

A. 2 (I can't really see the graph clearly, I think this is right)

Step-by-step explanation:

(1,4)(2,6)

6-4 =2

2-1 =1

2/1 =2

5 0

3 years ago

Read 2 more answers

Please I am begging!!!

insens350 [35]

Answer:

4,3

Step-by-step explanation:

1 plus 3 equals 4.

-3 plus 6 equals 3.

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2 years ago

1) 3n-4 = -13<br> Solve & show work

Taya2010 [7]

Answer:

-3

Step-by-step explanation:

3n-4=-13

+4 +4

3n =-9

3 3

I hope that helped

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3 years ago