Which measurement describes the following situation:

Find the slope of the line shown on the graph

alexandr1967 [171]

Answer:

slope= 5/4

Step-by-step explanation:

The slope equation is (change in y)/(change in x), so you can take two points and use the equation.

4 0

3 years ago

M is the incenter of triangle ABC. Find the lengths of MD and DC. (Look at pic)

Deffense [45]

Answer:

Part 1) $MD=9\ units$

Part 2) $DC=12\ units$

Step-by-step explanation:

Step 1

Find the length of MD

we know that

The incenter is the intersection of the angle bisectors of the three vertices of the triangle. Is the point forming the origin of a circle inscribed inside the triangle

so

In this problem

$MD=ME=MF$ ------> is the radius of a circle inscribed inside the triangle

we have that

$MF=9\ units$

therefore

$ME=9\ units$

$MD=9\ units$

Step 2

Find the length of DC

we know that

In the right triangle MDC

Applying the Pythagoras theorem

$MC^{2} =MD^{2}+DC^{2}$

we have

$MD=9\ units$

$MC=15\ units$

substitute

$15^{2} =9^{2}+DC^{2}$

$DC^{2}=225-81$

$DC=\sqrt{144}\ units$

$DC=12\ units$

6 0

4 years ago

Point m lies between points l and n on line segment l n . the space between l and m is 10 x 8. the space between m and n is 5 x

Ivenika [448]

The length of line segment l n on which point m lines in between is 64 units. Option 4 is the correct option.

<h3>What is the length of line segment?</h3>

Length of a line segment is the distance of both the ends of it.

Point m lies between points l and n on line segment l n .

The space between l and m is 10x 8.

The space between m and n is 5x -4.

The value of line segment LN is,

$LN = 12x +16$

The sum of LM and LN is equal to the line segment LN. Thus,

$LM+MN=LN\\10x +8+(5x-4)=12x+ 16\\10x +8+5x-4=12x+ 16\\10x+5x-12x=16 -8+4\\3x=12\\x=\dfrac{12}{3}\\x=4$

Put this value of x in the equation of line segment LN,

$LN = 12(4) +16\\LN=48+16\\LN=64\rm\; units$

Thus, the length of line segment l n on which point m lines in between is 64 units. Option 4 is the correct option.

Learn more about the line segment here;

brainly.com/question/2437195

7 0

2 years ago

Help please if you don’t know don’t answer thank you so much

timurjin [86]

Answer:

Step-by-step explanation:

1). Replace one equation with a multiple of itself.

2x + 7y = 3 ⇔ 4(2x) + 4(7y) = 4(3)

2). Yes, systems are equivalent.

4 0

3 years ago

Vladimir says that the equation of the line that passes through points (-5,-3) and (10,9) is y=4/5x+1 Robyn says that the line p

Talja [164]

Answer:

Robyn and Vladimir both are correct.

Step-by-step explanation:

Vladimir says that the equation of the line the passes through points (-5, -3) and (10,9) is y = $\frac{4}{5}$ x + 1

Let's find the equation of line

Slope of the line passing through ( -5, -3 ) and (10, 9 )

$m=\frac{y-y'}{x-x'}=\frac{9+3}{10+5}=\frac{12}{15}=\frac{4}{5}$

So equation will be y = $\frac{4}{5}$ x + c

Since the line passes through (-5, -3)

so (-3) = $\frac{4}{5}$ x (-5) + c

(-3) = -4 + c

c = -3 +4 = 1

So equation should be y = $\frac{4}{5}$ x +1

Therefore, Vladimir is correct.

Robyn says this line is passing through (-10,-7) and (-15, -11)

Slope $m=\frac{y-y'}{x-x'}=\frac{-11+7}{15+10}=\frac{-4}{-5}=\frac{4}{5}$

equation is y = $\frac{4}{5}$ x + c

Since this line passes through (-10 -7)

so (-7) = $\frac{4}{5}$ x (-10) + c

-7 = -8 + c ⇒ c = 8 - 7 = 1

Equation of the line will be y = $\frac{4}{5}$ x + 1

So Robyn and Vladimir both are correct.

5 0

3 years ago

Read 2 more answers