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posledela
3 years ago
7

two lines intersect.One has gradient 4 and y-axis intercept 3. The other has gradient 6 and cuts the y-axis at (0,1). What is th

e point of interesection of the lines?​
Mathematics
1 answer:
timurjin [86]3 years ago
5 0

Answer:

(1, 7 )

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Then the equations of the 2 lines are

y = 4x + 3 → (1)

y = 6x + 1 → (2)

Substitute y = 6x + 1 into (1)

6x + 1 = 4x + 3 ( subtract 4x from both sides )

2x + 1 = 3 ( subtract 1 from both sides )

2x = 2 ( divide both sides by 2 )

x = 1

Substitute x = 1 into either of the 2 equations for corresponding value of y

Substituting into (1)

y = 4(1) + 3 = 4 + 3 = 7

Point of intersection = (1, 7 )

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Step-by-step explanation:

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3 years ago
Which of the following has a constant of proportionality of 2? A) y = 2x B) y = x + 2 C) 2y = x D) y + 2 = 2x
Setler [38]

The correct answer is A.


You have direct variation if x and y are modeled by the equation


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5 0
3 years ago
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snow_lady [41]

Answer:

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Step-by-step explanation:

Find the area of each face of the triangular prism.

Imagine the triangular prism as its net, it is composed with 2 triangular faces (these are tye bases of the prism) and 3 rectangular faces.

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Area of another rectangular face:

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8 0
3 years ago
1. Which one of the following statements is true of perpendicular lines?
Dovator [93]
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7 0
3 years ago
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BRAINLIEST <br>if -x = x -6 then x = <br>A. -6<br>B. -3<br>C. 0<br>D. 3<br>explain please​
Paul [167]

Answer:

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The equation you are saying is

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From this, you can simplify by dividing by -2

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Hope this helped!

5 0
4 years ago
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