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Natali [406]
3 years ago
13

What is the distance between -12 and 6 on a number line?

Mathematics
1 answer:
Triss [41]3 years ago
4 0

Answer:

18

Step-by-step explanation:

You can just do 6-(-12) a negative multiplied by a negative then turns into a positive which makes is 6+12=18

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Determine the equation of each line with the following properties:
iris [78.8K]

Answer:

a) y =2/3 x + 7.

b) x = -1

c) y = -4/5 x - 1/5

d) y = -3/2 x + 5/2.

Step-by-step explanation:

a) Intercept form y = mx + b where m = 2/3 and  b = 7

b) y can take any value but x is always -1.

c) Slope m = (-1-3)/ (1 - -4)

= -4/5

Using point-slope form where m = -4/5 and x1 y1 = 1 , -1:

y - y1 = m(x - x1)

y - -1 = -4/5(x - 1)

y + 1 = -4/5x + 4/5

y = -4/5 x - 1/5

d)  The slope m of the line perpendicular to this line is:

-1 / 2/3

m = -3/2.

When x = -1 , y = 4 so using the slope intercept form of a line

y = mx + b

4 = -3/2 * -1 + b  where b = the y-intercept.

4 = 3/2 + b

b = 4 - 3/2 = 5/2.

The equation is  y = -3/2 x + 5/2.

3 0
3 years ago
Which formula best expresses your monthly ending balance?
igor_vitrenko [27]
Withdrawals must be subtracted from the beginning balance since to withdraw means to take out, so withdrawing money would lower the balance.
Deposits are added to the balance, so they must be added in the equation.

The answer is <span>c) Beginning Balance - Withdrawals + Deposits = Ending Balance</span>
4 0
3 years ago
Question 14
Vladimir [108]

Answer:

the answer is 61.60

Step-by-step explanation:

because if you even look it up 30% of 88 is 24.6 the subtract that from 88 and you get your answer.

7 0
3 years ago
4x^2-y^2+80x+16y+272=0
Andrew [12]

Answer:

\frac{4x + 40}{-y +8}

Step-by-step explanation:

8 0
3 years ago
Find the equation of the line with m = 2 and passes through the point ( 4 , − 5 ) . Write your answer in standard form A x + B y
Rudiy27

Answer:

2x - y = 13

Step-by-step explanation:

To write the equation of a line use the formula y - y_1 = m(x-x_1).

Substitute m = 2 and (4,-5).

y --5 = 2(x-4)\\y + 5 = 2(x - 4)\\y + 5 = 2x - 8\\y = 2x -13\\-2x + y = -13\\2x - y = 13

3 0
3 years ago
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