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mezya [45]
3 years ago
14

HELP HELP!!!!

Mathematics
1 answer:
ehidna [41]3 years ago
7 0

Answer:

<em>The last option is correct:</em>

<em>"On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution."</em>

Step-by-step explanation:

We have a pair of equations of lines:

y=-x+1

y=2x+4

The equation of a line can be written as follows:

y=mx+b

Where m is the slope and b is the y-intercept.

Following the form of both lines, we can conclude that:

The first line has slope -1 and y-intercept 1

The second line has slope 2 and y-intercept 4.

To solve the system of equations graphically, we must plot both lines and write the coordinates of the point of intersection of the lines as the solution.

The only option which has all the correct information is the last one:

"On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution."

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Answer:

x = 3

Step-by-step explanation:

4 ( x - 7 ) = -6x + 12

→ Expand brackets

4x - 28 = -6x + 12

→ Add 6x to both sides

10x - 28 = 12

→ Add 28 to both sides

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→ Divide both sides by 10

x = 3

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1 year ago
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Answer:

Step-by-step explanation:

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8 0
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Complete the square to factor X^2 +10X=-8
ella [17]

Answer: x=\sqrt{17}-5 and x = -\sqrt{17}-5

Step-by-step explanation:

Alright, lets get started.

The given equation is :

x^{2} +10x = -8

Adding 8 in both sides, it will become

x^{2} +10x + 8 = -8 +8

x^{2} +10x + 8 = 0

To make it perfect square, we need to add 25 and subtract 25

x^{2} +10x + 8 +25-25= 0

x^2+10x+25+8-25=0

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(x+5)^2-17=0

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(x+5)^2=17  

taking square root

x+5=\sqrt{17}

So,

x=\sqrt{17}-5 and x = -\sqrt{17}-5  .. Answer

Hope it will help :)

7 0
3 years ago
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