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3 years ago

1) Where is the midpoint of , when A (6, 7) and B (-9, -5)?

Mathematics

2 answers:

lord [1]3 years ago

6 0

Answer:

(−1.5,1)

Step-by-step explanation:

Finding the distance, midpoint, slope, equation and the x y-intercepts of a line passing between the two points p1 (6,7) and p2 (-9,-5)

The distance (d) between two points (x1,y1) and (x2,y2) is given by the formula

d = √ ((X2-X1)2+(Y2-Y1)2)

d = √ (-9-6)2+(-5-7)2

d = √ ((-15)2+(-12)2)

d = √ (225+144)

d = √ 369

The distance between the points is 19.2093727122985

The midpoint of two points is given by the formula

Midpoint= ((X1+X2)/2,(Y1+Y2)/2)

Find the x value of the midpoint

Xm=(X1+X2)/2

Xm=(6+-9)/2=-1.5

Find the Y value of the midpoint

Ym=(Y1+Y2)/2

Ym=(7+-5)/2=1

The midpoint is: (-1.5,1)

Arada [10]3 years ago

3 0

Answer:

(-1.5,1)

Step-by-step explanation:

the midpoint between 6 and -9 is -1.5

the midpoint between 7 and -5 is 1

(-1.5,1)

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What is solution to the system of equations? Y=5×+2 3×=-y+10

Sergio [31]

Y = 5x + 2
3x = y + 10

3x = y + 10
3x = 5x + 2 + 10
3x = 5x + 12
3x - 5x = 12
-2x = 12
x = -6

substitute x = -6 into y = 5x + 2

y = 5(-6) + 2
y = -30 + 2
y = -28

x = -6, y = -28

hope this helped, God bless!

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3 years ago

How to do I solve this?

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2 years ago

What is the irrational number in This set: 12.89, square root of 12 and 12/144 ?

kifflom [539]

Good night,

Irrational numbers are those that can't be expressed as a fraction:

12.89 can be expressed as: $\frac{1289}{100}$

$\frac{12}{144}= \frac{1}{12}$

The above numbers can be expressed as a fraction, then the logical answer is: $\sqrt{12}$

But we will check the answer:

$\sqrt{12}= \sqrt{2^{2}*3 } =2* \sqrt{3} =3.4641016...$

As you can see we can't express that number as a fraction, so that is te correct answer.

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DerKrebs [107]

Inequalities and equations use similar steps to solve, but inequalities give a range of numbers that can represent the variable while an equation will give a direct answer.

Example:

4+5x=24

First you would subtract 4 or add the opposite of 4 from 24.

4+5x=24
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Then divide each side by 5 or multiply each side by the reciprocal of 5 to isolate the variable.

1/5*5x=20*1/5 (reciprocal)
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You would use the same steps in an inequality but end up with a different sign.

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Studentka2010 [4]

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