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2 years ago

Can i please have help on this question this is the second time please

Mathematics

2 answers:

cupoosta [38]2 years ago

6 0

Answer: Y=4x-3

Step-by-step explanation:

goes up 4 and across 1 so 4 is the slope or 4x

-3 is the point on the y axis where the line hits or touches the y axis

ArbitrLikvidat [17]2 years ago

6 0

Answer:

y=4x-3

Step-by-step explanation:

4 was how many it was up

-3 is where it Y intercepted

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A triangle is formed from the points L(-3, 6), N(3, 2) and P(1, -8). Find the equation of the following lines:

Dima020 [189]

Answer:

Part A) $y=\frac{3}{4}x-\frac{1}{4}$

Part B) $y=\frac{2}{7}x-\frac{5}{7}$

Part C) $y=\frac{2}{7}x+\frac{8}{7}$

see the attached figure to better understand the problem

Step-by-step explanation:

we have

points L(-3, 6), N(3, 2) and P(1, -8)

Part A) Find the equation of the median from N

we Know that

The median passes through point N to midpoint segment LP

step 1

Find the midpoint segment LP

The formula to calculate the midpoint between two points is equal to

$M(\frac{x1+x2}{2},\frac{y1+y2}{2})$

we have

L(-3, 6) and P(1, -8)

substitute the values

$M(\frac{-3+1}{2},\frac{6-8}{2})$

$M(-1,-1)$

step 2

Find the slope of the segment NM

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

N(3, 2) and M(-1,-1)

substitute the values

$m=\frac{-1-2}{-1-3}$

$m=\frac{-3}{-4}$

$m=\frac{3}{4}$

step 3

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=\frac{3}{4}$

$point\ N(3, 2)$

substitute

$y-2=\frac{3}{4}(x-3)$

step 4

Convert to slope intercept form

Isolate the variable y

$y-2=\frac{3}{4}x-\frac{9}{4}$

$y=\frac{3}{4}x-\frac{9}{4}+2$

$y=\frac{3}{4}x-\frac{1}{4}$

Part B) Find the equation of the right bisector of LP

we Know that

The right bisector is perpendicular to LP and passes through midpoint segment LP

step 1

Find the midpoint segment LP

The formula to calculate the midpoint between two points is equal to

$M(\frac{x1+x2}{2},\frac{y1+y2}{2})$

we have

L(-3, 6) and P(1, -8)

substitute the values

$M(\frac{-3+1}{2},\frac{6-8}{2})$

$M(-1,-1)$

step 2

Find the slope of the segment LP

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

L(-3, 6) and P(1, -8)

substitute the values

$m=\frac{-8-6}{1+3}$

$m=\frac{-14}{4}$

$m=-\frac{14}{4}$

$m=-\frac{7}{2}$

step 3

Find the slope of the perpendicular line to segment LP

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

$m_1*m_2=-1$

we have

$m_1=-\frac{7}{2}$

$m_2=\frac{2}{7}$

step 4

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=\frac{2}{7}$

$point\ M(-1,-1)$ ----> midpoint LP

substitute

$y+1=\frac{2}{7}(x+1)$

step 5

Convert to slope intercept form

Isolate the variable y

$y+1=\frac{2}{7}x+\frac{2}{7}$

$y=\frac{2}{7}x+\frac{2}{7}-1$

$y=\frac{2}{7}x-\frac{5}{7}$

Part C) Find the equation of the altitude from N

we Know that

The altitude is perpendicular to LP and passes through point N

step 1

Find the slope of the segment LP

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

L(-3, 6) and P(1, -8)

substitute the values

$m=\frac{-8-6}{1+3}$

$m=\frac{-14}{4}$

$m=-\frac{14}{4}$

$m=-\frac{7}{2}$

step 2

Find the slope of the perpendicular line to segment LP

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

$m_1*m_2=-1$

we have

$m_1=-\frac{7}{2}$

$m_2=\frac{2}{7}$

step 3

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=\frac{2}{7}$

$point\ N(3,2)$

substitute

$y-2=\frac{2}{7}(x-3)$

step 4

Convert to slope intercept form

Isolate the variable y

$y-2=\frac{2}{7}x-\frac{6}{7}$

$y=\frac{2}{7}x-\frac{6}{7}+2$

$y=\frac{2}{7}x+\frac{8}{7}$

7 0

3 years ago

Explain how to simplify this complex fraction. 330pages/3/4hour.

meriva

Answer:
= 330/1 ÷ 3/4

= (330 × 4) / (3 × 1)

= 1320/3

= 440/1

= 440

Hope this helps!

7 0

3 years ago

Round to the nearest million: 21,800,000

Eduardwww [97]

21,800,000 rounded to the nearest million = 22,000,000

5 0

3 years ago

Which graph shows the solutions to the inequality? PLSSS HELPPP

gavmur [86]

It’s the third graph down!!

7 0

2 years ago

Please solve these four equations a) x/3=x+4 b) m-3=4/5m-2 c) x/5-4=2-2x/5 d) 1/2+w=8-3w/2

Ilia_Sergeevich [38]

I hope these help you

A)

x3=x+4Step 1: Simplify both sides of the equation.13x=x+4Step 2: Subtract x from both sides.13x−x=x+4−x−23x=4Step 3: Multiply both sides by 3/(-2).(3−2)*(−23x)=(3−2)*(4)x=−6Answer:x=−6

B)

m−3=45m−2Step 1: Subtract 4/5m from both sides.m−3−45m=45m−2−45m15m−3=−2Step 2: Add 3 to both sides.15m−3+3=−2+315m=1Step 3: Multiply both sides by 5.5*(15m)=(5)*(1)m=5Answer:m=5

C)

x5−4=2−2(x5)Step 1: Simplify both sides of the equation.x5−4=2−2(x5) Simplify: (Show steps) 15x−4=−25x+2Step 2: Add 2/5x to both sides.15x−4+25x=−25x+2+25x35x−4=2Step 3: Add 4 to both sides.35x−4+4=2+435x=6Step 4: Multiply both sides by 5/3.(53)*(35x)=(53)*(6)x=10Answer:x=10

D)

12+w=8−3(w2)Step 1: Simplify both sides of the equation.12+w=8−3(w2) Simplify: (Show steps) w+12=−32w+8Step 2: Add 3/2w to both sides.w+12+32w=−32w+8+32w52w+12=8Step 3: Subtract 1/2 from both sides.52w+12−12=8−1252w=152Step 4: Multiply both sides by 2/5.(25)*(52w)=(25)*(152)w=3Answer:w=3

4 0

3 years ago