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telo118 [61]
3 years ago
5

AB lies on a number line. The coordinate of point A is -6. Given that AB= 20, what are the two possible coordinates for point B?

Mathematics
1 answer:
sukhopar [10]3 years ago
7 0
The fact that you must remember is that these points lie on a plane that have a a distance that is ALWAYS an absolute value.  If point A lies on -6 you can have two points that are of a distance 20 points in either direction.  If moving the left, point B can have a value of -26 and moving to the right, point B will have a value of 14.  Hope this is clear!

Good luck!
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What is the slope of the line that cuts through the points (1, -5) and (3, 5)?
PolarNik [594]

Answer:

a. 5

Step-by-step explanation:

To find slope, subtract the y's.

5 - -5 is 10.

Put that on the top of a fraction.

Subtract the x's.

3 - 1 is 2, put that on the bottom of the fraction.

So the slope is 10/2. This simplifies to 5 (because 10÷2 is 5).

The slope is 5.

8 0
2 years ago
Three Nissans, two Fords, and four Chevrolets can be rented for $106 per day. At the same rates two Nissans, four Fords, and thr
Sindrei [870]

Answer:

The rental rate for the Fords is of $12 per day.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the cost of a Nissan.

y is the cost of a Ford.

z is the cost of a Chevrolet.

Three Nissans, two Fords, and four Chevrolets can be rented for $106 per day.

This means that:

3x + 2y + 4z = 106

Two Nissans, four Fords, and three Chevrolets cost $107 per day

This means that:

2x + 4y + 3z = 107

Four Nissans, three Fords, and two Chevrolets cost $102 per day.

This means that:

4x + 3y + 2z = 102

From the first equation:

4z = 106 - 3x - 2y

2z = 53 - 1.5x - y

z = 26.5 - 0.75x - 0.5y

Replacing into the third equation:

4x + 3y + 53 - 1.5x - y = 102

2.5x + 2y = 49

From the second equation:

2x + 4y + 3z = 107

2x = 107 - 4y - 3z

x = 53.5 - 2y - 1.5z

x = 53.5 - 2y - 1.5(26.5 - 0.75x - 0.5y)

x - 1.125x = 53.5 - 2y - 39.75 + 0.75y

-0.125x = 13.75 - 1.25y

0.125x = 1.25y - 13.75

x = \frac{1.25y - 13.75}{0.125}

x = 10y - 110

Find the rental rate for the Fords.

We have to find y, so:

2.5x + 2y = 49

2.5(10y - 110) + 2y = 49

25y - 275 + 2y = 49

27y = 324

y = \frac{324}{27}

y = 12

The rental rate for the Fords is of $12 per day.

3 0
3 years ago
Is x=5 the solution to the following equation? Show your work with the substitution property
guapka [62]

Answer:

yes

Step-by-step explanation:

2x-4=6

Let x = 5

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10 -4 =6

6 = 6

Since this is true, x=5 is a solution to the equation

5 0
3 years ago
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irina1246 [14]
2x + y = 0
2x + 3 = 0
      - 3  - 3
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3 years ago
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Y = mx + b, the letter b is the
HACTEHA [7]

Answer:

B is the Y-Intercept of the graph/equation

Step-by-step explanation:

3 0
2 years ago
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