Mathematics, 30.06.2019 02:00 lin550

What is the slope-intercept equation that represents a midsegment of the triangle below? hint there are three possible answers.

What is the slope-intercept equation that represents a midsegment of the triangle below? *hint* th

Answers: 1

Show answers

Answers

Answer from: wingleo1112

1) y=-6x-6.5

2) y=0.6x+0.1

3) y=-0.5x+1.75

Step-by-step explanation:

Since we know that the segment joining the mid-points of two sides of a triangle is known as mid-segment of triangle. A triangle has three mid-segments.

1) Let us find midpoints of side ED and DF using midpoint formula.

$\text{Midpoint}=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

$\text{Midpoint of segment DE}=(\frac{-4+1}{2},\frac{1+4}{2})$

$\text{Midpoint of segment DE}=(\frac{-3}{2},\frac{5}{2})=(-1.5,2.5)$

$\text{Midpoint of segment DF}=(\frac{-4+2}{2},\frac{1-2}{2})$

$\text{Midpoint of segment DF}=(\frac{-2}{2},\frac{-1}{2})=(-1,-0.5)$

Now let us find slope of line joining points (-1.5,2.5) and (-1,-0.5) using slope formula.

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-0.5-2.5}{-1--1.5}$

$m=\frac{-3}{-1+1.5}$

$m=\frac{-3}{0.5}=-6$

Now let us substitute our values in slope intercept form of the line to find y-intercept.

y=mx+b , where m= slope of the line, b= y-intercept.

-0.5=-6(-1)+b

-0.5=6+b

-6.5=b

Upon substituting m=-6 and b= -6.5 in slope intercept form of line, we will get,

y=-6x-6.5

Therefore, 1st equation that represents the mid-segment parallel to side EF of the given triangle will be y=-6x-6.5 .

2) Let us find midpoint of segment EF.

$\text{Midpoint of segment EF}=(\frac{1+2}{2},\frac{4-2}{2})$

$\text{Midpoint of segment EF}=(\frac{3}{2},\frac{2}{2})=(1.5,1)$

Now let us find the slope of the line passing through points (1.5,1) and (-1,-0.5).

$m=\frac{1--0.5}{1.5--1}$

$m=\frac{1.5}{2.5}=0.6$

Now let us find y-intercept of line parallel to segment DE.

-0.5=0.6(-1)+b

-0.5=-0.6+b

0.1=b

Upon substituting m=0.6 and b=0.1 in slope intercept form of line we will get,

y=0.6x+0.1

Therefore, second equation that represents the mid-segment parallel to side DE of the given triangle will be y=0.6x+0.1 .

3) Now let us find the slope of the mid-segment joining mid-points of segment DE and EF that are (-1.5,2.5) and (1.5,1).

$m=\frac{1-2.5}{1.5--1.5}$

$m=\frac{-1.5}{3}=-0.5$

Now let us find y-intercept of our line.

y=mx+b

1=-0.5(1.5)+b

1=-0.75+b

1.75=b

y=-0.5x+1.75

Therefore, the third equation that represents the mid-segment parallel to side DF of the given triangle will be y=-0.5x+1.75 .

Answer from: Quest

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

Point z is equidistant from the sides of δrst. which must be true? ctzaszaszzsb

Answer from: Quest

First, think of what you know. you know that the number t the end of the equation will need to be subtracted because it is the money he lost from buying the lawn mower. and your first two weeks have negative profit, so that tells you that c and d are wrong. now you can plug any of the weeks into a and b to see which one works. i'll start with plugging week 1 into a. $y = 60(1) - 90 \\ y = 60 - 90 \\ y = - 30$ this isn't right because it says your answer for week one should be -90.so now we need to try the same thing with b. $y = 60(1) - 150 \\ y = 60 - 150 \\ y = - 90$ this one got you the right answer, (sometimes if you only check with one of the weeks multiple will work so you need to check with more of the weeks, but it worked out fine here)this means that b is the correct answer.let me know if you need more clarification. i hope this : )

Another question on Mathematics

Mathematics, 21.06.2019 15:30

Consider the integral: 4 0 16 − y2 − 16 − y2 4 1 x2 + y2 dz dx dy . (a) describe w. use the standard view of the x, y, and z axes. front half of a cone with a rounded top. full cone with a flat top. right half of a cone with a flat top. front half of a cone with a flat top. right half of a cone with a rounded top.

Answers: 1

Answer

Mathematics, 21.06.2019 16:30

Which value is not a solution of 8x^3 – 1 = 0

Answers: 1

Answer

Mathematics, 21.06.2019 17:00

This is different from the first one can someone me

Answers: 1

Answer

Mathematics, 21.06.2019 19:30

Joel wants to buy a new tablet computer fram a store having a 20% off sale on all tablets. the tablet he wants has an original cost of $190. he also wants to make sure he has enough money to pay the 5% sales tax. part one joel uses the incorect expression 0.95(190)(0.8) to calculate that the tablet will cost him a total of $144.40. describe his error and write the correct expression part two how much will joel pay for the tablet show your work if you answer this question correctly you will receive a prize of 99 points good luck

Answers: 2

Answer

You know the right answer?

What is the slope-intercept equation that represents a midsegment of the triangle below? *hint* th...

Questions