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kicyunya [14]
3 years ago
9

I’ll give brainliest

Mathematics
1 answer:
Serjik [45]3 years ago
8 0

Answer:

The graph of the system of equations solves the equation  -\frac{1}{4} x + 2 = 2x - 7 ⇒ C

Step-by-step explanation:

<em>Let us revise some important notes about the slope and y-intercept of a line</em>

The form of the linear equation is y = m x + b, where m is the slope and b is the y-intercept

  • If the line has a positive slope then its direction will be to the right
  • If the line has a negative slope then its direction will be to the left

The y-intercept (0, b) is the the point of intersection between the line and the y-axis

  • If the line cuts the y-axis at a point above the x-axis, then b is positive
  • If the line cuts the y-axis at a point down the x-axis, then b is negative

<em>To solve our question without any calculation, let us find the direction of the slopes and their y-intercepts</em>

∵ The direction of the blue line is to the left

→ That means m in the equation is negative

∴ Its slope is negative

∵ The line intersects the y-axis at point (0, 2)

→ That means b in the equation = 2

∴ The number in the equation is 2

→ Look at the answer we have two answers have negative slope and

   y-intercept 2 in the left hand side ⇒ C and D

∴ The equation of the blue line is represented by the left side -\frac{1}{4} x + 2

→ that means the equation of the red line is represented by the right side

∵ The direction of the red line is to the right

→ That means m in the equation is positive

∴ Its slope is positive

→ Only C has a positive slope in the right side

∴ The equation of the red line is represented by 2x - 7

The graph of the system of equations solves the equation  -\frac{1}{4} x + 2 = 2x - 7

<u><em>Another way:</em></u>

<em>You can solve each equation to find the value of x, then substitute it in one side of the equation to find y , the values of x and y must be (4, 1) as the point of intersection of the two lines in the graph</em>

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M is the midpoint of AB.<br> AM = = 4x - 8<br> MB =<br> 5x-3/3<br> Find x and AB
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steps

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2 years ago
Find the coordinates of the midpoint M of the segment with the given endpoints. Then find the distance between the two points. R
Mrac [35]

Answer:

Midpoint (-2,4)

distance nearest tenth = 8.9

The approximate distance = 9

Step-by-step explanation:

Formulas

PQ midpoint = (x2 + x1)/2, (y2 + y1)/2

distance d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

Givens

x2 = -4

x1 = 0

y2 = 1

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Solution

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M(PQ) = -2, 4

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The distance = sqrt(16 + 64)

The distance = sqrt(80)

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The distance = 8.94    

The distance = 8.9            To the nearest tenth

Question 2

The distance is rounded to the nearest whole number which is 9.

6 0
3 years ago
What does 5 2/3 - 8 5/6 equal?
goblinko [34]

5 2/3 = 17/3 = 34/6

8 5/6 = 53/6

34/6 - 53/6 = -19/6 = -3 1/6


7 0
3 years ago
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