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777dan777 [17]
3 years ago
11

Identify the graphed linear equation.

Mathematics
1 answer:
Nuetrik [128]3 years ago
8 0

Answer:

The answer to your question is letter C

Step-by-step explanation:

Process

1.- Find two points of the line

   A ( 0, 1)

   B ( 1, -3)

2.- Find the slope of the line

    m = \frac{y2 - y1}{x2 - x1}

    m = \frac{-3 - 1}{1 - 0}

    m = \frac{-4}{1}

           m = -4

3.- Find the equation of the line

            y - y1 = m (x - x1)

            y - 1 = -4( x - 0)

            y -1 = -4x

            y = -4x + 1

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The perimeter of the triangle is 40 units.Which of the following equations could be used to find the value of x?
Artyom0805 [142]

Answer:

13x + 112 = 320.

Step-by-step explanation:

The perimeter is the sum of the 3 sides:

1/2 x + 3/8 x + 11 + 3/4 x + 3 = 40

1/2 x + 3/8 x  + 3/4 x + 3 + 11 = 40

1/2 x + 3/8 x  + 3/4 x + 14 = 40

Multiply through by 8 to remove the fractions:

4x + 3x + 6x  + 14 = 40

13x + 112 = 320.

5 0
3 years ago
Questions are in the picture
gtnhenbr [62]

The closest point is (3.5, 1.9) and the distance is 1.96 units

<h3>How to determine the point and the distance?</h3>

The coordinate is given as:

(4, 0)

The equation of the function is

y = √x

The distance between two points is calculated using

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have the following points

(x1, y1) = (4, 0) and (x2, y2) = (x, 0)

This gives

d = √(x - 4)^2 + (√x - 0)^2

Evaluate the difference

d = √(x - 4)^2 + (√x)^2

Evaluate the exponent

d = √x^2 - 8x + 16 + x

Evaluate the like terms

d = √x^2 - 7x + 16

Next, we differentiate using a graphing calculator

d' = (2x - 7)/[2√(x^2 - 7x + 16)]

Set to 0

(2x - 7)/[2√(x^2 - 7x + 16)] = 0

Cross multiply

2x - 7 = 0

Add 7 to both sides

2x = 7

Divide by 2

x = 3.5

So, we have:

Substitute x = 3.5 in y = √x

y = √3.5

Evaluate

y = 1.9

So, the point is (3.5, 1.9)

The distance is then calculated as:

d = √(x2 - x1)^2 + (y2 - y1)^2

This gives

d = √(3.5 - 4)^2 + (1.9 - 0)^2

Evaluate

d = 1.96

Hence, the closest point is (3.5, 1.9) and the distance is 1.96 units

Read more about distance at:

brainly.com/question/23848540

#SPJ1

3 0
1 year ago
Ioana wants to spend ¾ of an hour studying each subject. She has 3 hours to study. How many subjects can she study?
BaLLatris [955]

Answer:

  • 4 subjects

Step-by-step explanation:

<u>3 hours for studying x subjects:</u>

  • x*3/4 = 3
  • x = 3*4/3
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3 0
3 years ago
How fast is a car going if its mass is 1000 kg and the force acting on it is 154 N?
Phoenix [80]

Answer:

Only external forces affect the motion of a system, according to Newton's first law. ... force applied to a car produces a much smaller acceleration than when ... Newton's second law states that a net force on an object is responsible for its ... A 1.0-kg mass thus has a weight of 9.8 N on Earth and only about 1.7 N on the Moon.

Step-by-step explanation:

Only external forces affect the motion of a system, according to Newton's first law. ... force applied to a car produces a much smaller acceleration than when ... Newton's second law states that a net force on an object is responsible for its ... A 1.0-kg mass thus has a weight of 9.8 N on Earth and only about 1.7 N on the Moon.

3 0
2 years ago
Think About the Process The length of a rectangle is twice the width. The area of the rectangle
natima [27]

Answer:

length of each square= \sqrt{43} ≈ 6.6

the length of the rectangle = 2\sqrt{43} ≈ 13.1

width of the rectangle ≈ \sqrt{43} ≈ 6.6

Step-by-step explanation:

8 0
2 years ago
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