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Aloiza [94]
4 years ago
10

The graph below shows a system of equations:

Mathematics
2 answers:
svet-max [94.6K]4 years ago
8 0

Answer: -2

Step-by-step explanation:

We know that if system of two linear equations plotted on the graph, then the intersection point of the two lines represents the solution to the system of equations.

From the given graph , we can see that the intersection point of the two lines is at point (-2,2).

Thus, the solution to the given system of equation = (-2,2)

Therefore, the x-coordinate of the solution to the system of equations is  -2.

Nostrana [21]4 years ago
4 0
3y = -2x + 2
y = x + 4 (Substitute the y)

3(x + 4) = -2x + 2 (Distribute)
3x + 12 = -2x + 2 (Add 3 to both sides)
+3x       +3x
------------------------------------------
12 = 1x + 2 (Subtract 2 from both sides)
-2         - 2
------------------------
10 = 1x (Divide by 1 on both sides)
10/1 = 1x/1
x = 10 
This is your x-coordinate
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at 1:30 in the afternoon an old freight train and a new dart express train pull out of the new garland station going in opposite
nydimaria [60]

Solution: The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.

Explanation:

Let the speed of old freight train is x miles per minute and the speed of new dart express train is y miles per minute.

It is given that the speed of the dart express train is three times faster than the freight train. So, it can be written as,

3x=y ....(1)

The trains are moving towards the opposite directions, therefore the distance between them is increased at the speed of (x+y) miles per minute.

Distance=Speed\times Time

The distance between both train in 15 minutes is represented by 15(x+y).

According to the given information the distance between trains is 30 miles in 15 minutes.

15(x+y)=30

x+y=2

Use equation (1) and put y=3x

x+3x=2

4x=2

x=0.5

Put this value in equation (1), to find the value of y.

y=3(0.5)

y=1.5

Therefore, the The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.

4 0
4 years ago
A polygon is shown on the graph
ipn [44]

Answer:

A translation of the polygon will not affect any of those factors because it is only the sliding of the object.

Step-by-step explanation:

8 0
4 years ago
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yuradex [85]
X= -2 and y= 2 should be those lines based on the diagram shown
hmu with brainliest <3

8 0
3 years ago
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1/2,1/3,1/8 find the sum
Zarrin [17]

Answer:

23/24

Step-by-step explanation:

To find the sum you must ad.

Fractions can only be added and subtracted when the denominators (the bottom numbers) are the same.

24 is the smallest number that 2, 3 and 8 go into.

1/2 = 12/24, 1/3 = 8/24, 1/8 = 3/24

\frac{12}{24} + \frac{8}{24} + \frac{3}{24} = \frac{23}{24}

23/24

4 0
4 years ago
In parallelogram ABCD, the measure of angle A=3x and the measure of angle B =x+10. What is the measure of angle D?
Alinara [238K]

Answer: 52.5

Step-by-step explanation: 2(3x+10)+2(x+10)=360 because all the sides of a rhombus equal 360 and alternate sides are equal

8x+20=360

-20=-20

8x/8=340/8

x=42.5

x+10. 42.5+10=52.5

D=52.5

4 0
3 years ago
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