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3 years ago

What is the equation of the blue line?

Mathematics

2 answers:

zaharov [31]3 years ago

7 0

Answer: y = 3x + 2

Step-by-step explanation:

$\dfrac{x-x_{1} }{x_{2} -x_{1} } =\dfrac{y-y_{1} }{y_{2} -y_{1} }\\$

Let's choose two arbitrary points on the graph.

For example, let these be points with coordinates (1, 5) and (2, 8).

Substitute the coordinates of these points into the above formula and derive the equation of a straight line.

$\dfrac{x-1}{2-1} =\dfrac{y-5}{8-5}\\\\\dfrac{x-1}{1} =\dfrac{y-5}{3}\\\\3(x-1)=y-5\\3x-3=y-5\\y=3x-3+5\\y=3x+2$

jasenka [17]3 years ago

5 0

Hope this helps! feel free to clarify

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Fill in the blank with the phrase that makes the proof statement true.

aksik [14]

BC is congruent to DC or BA is congruent to DA, depending on what point marks the intersection point of the two lines.

If this helped please rate, thank, and give brainliest answer!

7 0

3 years ago

Constructing Parallel Lines

Orlov [11]

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The slope of the lines is -1, and the equation of the parallel line is y-x-6.

<h3>What is the equation of a line?</h3>

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The parallel line passes through the points (-4,-2) and (-3,-3). Therefore, the slope of the line is,

Slope = (-2 + 3) / (-4 + 3) = 1/-1 = -1

The equation of the parallel line that is passing through point P is,

y = mx + c

y = -x + c

-3 = -(-3) + c

-3 -3 = c

c = -6

Hence, the slope of the lines is -1, and the equation of the parallel line is y-x-6.

Learn more about Equation of Line:

brainly.com/question/21511618

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6 0

2 years ago

2x - 3y = -14 5x + 9y = -2

Firlakuza [10]

Step-by-step explanation:

2x-3y= -14

5x+9y= -2

multiply the first one by 5 and the second one by -2 to get equal and opposite value of x.

➡️when you multiply,it will be

10x-15y= -70

-10x-18y= 4

cancel out each x value,then you get

-15y-18y= -70+4

-33y= -66, divide each side by -33 to get the value of y

⚪️y= 2

➡️substitute the value of y in the equation of (2x-3y= -14) to find the value of x

2x-3(2)= -14

2x-6= -14

2x= -14+6

2x= -8 divide both side by 2

⚪️x= -4

so the answer is (-4,2)

8 0

3 years ago

I need the answer fast please !

Ahat [919]

Answer:

Step-by-step explanation:

Angles on a straight line are equal to 180°

180°-120°= 60°

Sum of Co interior angles are equal to 180°

180°-60° =120°

90°+60°+ x = 180°

((180° - 90° - 60°= 30°))

6 0

3 years ago

MAY DAY MAY DAY, HELP

Pavlova-9 [17]

Have you heard the expressions "shooting fish in a barrel" or
"taking candy from a baby" ?

I've decided to take your points and try not to feel guilty about it.

A). That's it ! That's the equation, for ANY basketball on Earth.
You wrote it right there in your question.

In that equation that you wrote, the ' r ' is the initial velocity.
You said that Adam tossed it straight up, and it was going 10 meters per second
 when it left his hand.
So ' r ' in the equation is +10.
The equation is:
 d = 10t - 5t²  .
It tells you how high the ball is above its tossing height after any number of seconds.
The ' t ' in the equation is the number of seconds. Any letter could have been used,
but ' t ' was cleverly selected because it stands for 'time'.

B). You want to know where it is after 0.5 second ? All you have to do is put '0.5'
into the equation wherever there's a ' t '. Do you really need somebody to do that
for you ?

Well, OK. You're being so overly generous with your points . . .

 Distance = 10 t - 5 t²

 Distance = 10 (0.5) - 5 (0.5)²

 Distance = 5 - 5(0.25)

 Distance = 5 - 1.25

 Distance = 3.75 meters 

positive 3.75 means above Adam's hand.

A thinking exercise:
-- He tossed the ball upwards at 10 meters per second.
-- Why is it not 5 meters above his hands after 0.5 second?

7 0

3 years ago