How to solve for "Find the equation of the line that is perpendicular to y = -2/3x and contains point (4,-8)" ?

How To Solve For "Find The Equation Of The Line That Is Perpendicular To Y = -2/3x And Contains Point

Answers

Answer 1

Answer:

[tex]y=\frac{3}{2}x+(-14)[/tex]

Step-by-step explanation:

Equation of a line has been given as,

[tex]y=-\frac{2}{3}x[/tex] --------(1)

Slope of the line is,

[tex]m_1=-\frac{2}{3}[/tex]

By the property of perpendicular lines,

If the two lines having slopes [tex]m_1[/tex] and [tex]m_2[/tex] are perpendicular to each other, [tex]m_1\times m_2=-1[/tex]

Therefore, slope of the line perpendicular to the line (1) will be,

[tex]-\frac{2}{3}\times m_2=-1[/tex]

[tex]m_2=\frac{3}{2}[/tex]

If this line passes through a point (4, -8) equation of the line will be,

[tex]y-y'=m_2(x-x')[/tex]

[tex]y+8=\frac{3}{2}(x-4)[/tex]

[tex]y=\frac{3}{2}x-6-8[/tex]

[tex]y=\frac{3}{2}x-14[/tex]


Related Questions

Question 9 of 10 Based only on the given information, it is guaranteed that AB I CD. A D . Given: AABC ZDAC = ZDBC O A. True O B. False​

Answers

Answer:

False

Step-by-step explanation:

False

There is not enough information to guarantee the lines are perpendicular.

No, we can not say that AB and CD are perpendicular from the information given.

What are perpendicular line?

Two geometric objects are perpendicular if their intersection forms right angles at the point of intersection called a foot.

The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂.

Given that a triangle ABC, divided into two triangles by a line DC, also

angle DAC and DBC are congruent,

From the given information we can not conclude any relation between both triangles,

Hence, we can not say that AB ⊥ CD

Learn more about perpendicular line click;

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What is the value of x in the equation -3/4 = x/24​

Answers

X= -18.

So in -3/4 = x/24 , you have to begin by getting the same denominator. 4 goes into 24, 6 times, so you would have to multiply -3 by 6 too for them to be equal.

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = - 18}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{ - 3}{4} = \frac{x}{24} [/tex]

➼ [tex] \: x = \frac{ - 3 \times 24}{4} [/tex]

➼ [tex] \: x = \frac{ - 72}{4} [/tex]

➼ [tex] \: x = - 18[/tex]

Therefore the value of [tex]x[/tex] is -18.

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex] \frac{ - 3}{4} = \frac{ - 18}{24} [/tex]

➼ [tex] \: \frac{ - 3}{4} = \frac{ - 3}{4} [/tex]

➼ L. H. S. = R. H. S.

Hence verified.

[tex]\bold{ \green{ \star{ \orange{Mystique35♨}}}}⋆[/tex]

A(n) ______________ is the act of uniformly turning in a clockwise or counter-clockwise direction around a center point.

Answer Choices:

Dilation

Translation

Reflection

Rotation

Answers

The answer is rotation
Rotation because you can rotate counter clockwise and clockwise. It can’t be reflection because it going to make another one similar.

Which points are solutions to the system of inequalities shown below?
Check all that apply.
у< x
y< 5
X<4
A. (3,0)
B. (1,7)
C. (6,2)
D. (0,-1)
E. (2, 1)
F. (3, 4)

Answers

Answer:

A. (3,0)

D. (0,-1)

E. (2, 1)

Step-by-step explanation:

A. (3,0)

B. (1,7)

C. (6,2)

D. (0,-1)

E. (2, 1)

F. (3, 4)

у< x  #############################

A. (3,0)

C. (6,2)

D. (0,-1)

E. (2, 1)

y< 5 ####################

A. (3,0)

C. (6,2)

D. (0,-1)

E. (2, 1)

X<4 ###################

A. (3,0)

D. (0,-1)

E. (2, 1)

Hello! I wanted answer with explanation
If you didn't understand what question in the screen I can't tell you...

Question: In an election, there are a total of 80,000 voters and there are two candidates A and B. 80% of the voters go for the polls and out of which 60% vote for A. How many voters does B get?
I hope you answer...
Thank you!​

Answers

25600

Do 80/100 * 80,000 to find how many voters actually voted (it should be 64,000). Then it says that 60% of those people voted for A, so that means 40% of them voted for B. Do 40/100 times 64,000

Combine like terms to create an equivalent expression.
3.26d+9.75d-2.653.26d+9.75d−2.653, point, 26, d, plus, 9, point, 75, d, minus, 2, point, 65

Answers

Answer:

3.26d+9.75d-2.653.26d+9.75d−2.653, point, 26, d, plus, 9, point, 75, d, minus, 2, point, 65

Step-by-step explanation:

Answer:

13.01d-2.65

Step-by-step explanation:

I got it right on Khan Academy just combine like terms and you have your answer.

In the triangles, GK PN and HG 2MP.
Which statement correctly compares the angles?
H
M
Angle G is congruent to angle P.
O Angle G is smaller than angle P.
O Angle G is larger than angle P.
O Angle G is congruent to angle N.
32 cm
40 cm
G
K
P
N

Answers

Answer:

G is smaller than P. Visually comparing G to P you are doing a rough comparison to a 90° (or right) angle. Angle G is a little bit tilted to the right making it just under 90°

The statement which correctly compares the angles is Angle G is smaller than angle P.

What is Congruence of Triangles?

Two or more triangles are said to be congruent if and only if sides and angles of one triangle is equal to the corresponding sides and angles of another triangle.

Given are two triangles.

Given that,

GK is congruent to PN.

HG is congruent to MP.

Also, given that,

HK = 32 cm and MN = 40 cm

Angle G is opposite to the side HK.

Angle P is opposite to the side MN.

Angles opposite to the greater side will be greater.

So angle P is greater than angle G

Or, angle G is smaller than angle P.

Hence, Angle G is smaller than angle P.

Learn more about Angles here :

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The local humane society is trying to determine how many racoons there are in a city. They catch and tag 18 raccoons. Later on, they catch 67 raccoons, and 2 of them are tagged. What is the best estimate of the raccoon population? Answer to the closest whole number.

Answers

Answer:

83 racoons

Step-by-step explanation:

18+67- 2

you would subtract the two they found with tags

What is the value of x in the equation of 7x-8=13
PLEASE HELP MEEE​

Answers

Answer:

x = 3

Step-by-step explanation:

7x-8=13

Add 8 to each side

7x-8+8=13+8

7x = 21

Divide each side by 7

7x/7 = 21/7

x = 3

A=9 b=12 c=15 sin b cos b tan b

Answers

Answer:

according to right , we use Phythgorous

tanb= 9/12

cosb=12/15

and sinb=9/15

13
What is the Pythagorean Theorem?
A) a + b + c
B
a2+b2=c2
a2-b2=c2
D) abc = d

Answers

Answer:

a2 +b2=c2

Step-by-step explanation:

......

hope it helps

Answer: its a^2+b^2=c^2

Step-by-step explanation:

A square coffee shop has a perimeter of 20 meters. How long is each side of the coffee shop?

Answers

5 meters

A square has 4 equal sides:
20/4 = 5

Brainliest?

Answer:

5 Meters

Step-by-step explanation:

Perimiter of a square would be P/4

So we take 20 and divide it by four.

We would get 5 as a result so each side is 5 meters.

Hope this helps.

(First correct answer will get brainliest) Determine the length of AB. Write your anseer in simplest form

Answers

Answer:

[tex] \frac{6}{6 + AB} = \frac{8}{8 + 10} \\ \\ 6 + AB = \frac{6 \times (8 + 10)}{8} \\ 6 + AB = 13.5 \\ AB = 7.5 [/tex]

The length of AB is 7.5

Help me plsssssssss

Answers

[tex]y \: \alpha \: x[/tex]

Let c be the constant

[tex]y = cx \\ 16 = c4 \\ c = \frac{16}{4} \\ c = 4[/tex]

SO:-

[tex]y = cx \\ y = 4 \times ( - 2) \\ y = ( - 8)[/tex]

Answer:

y = 4x

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 16 when x = 4 , then

16 = 4k ( divide both sides by 4 )

4 = k

y = 4x ← equation of variation

When x = - 2 , then

y = 4 × - 2 = - 8

10 points!!!!!
1-16 please finish quickly

Answers

the question is blurry for me take a picture of that again

. Which of the following is equal to
3
?
)
6 −
3 )
6 ×
3
)

6

3
)(
6
)

Answers

Answer:

(6-3)=3..............................

can someone help me with this maths question? workings would be appreciated :]


Adrian, Ben and Charlie share some sweets in the ratio 8:5:10
Charlie got 20 more sweets than Adrian.

Work out the total amount of sweets.

Answers

Answer:

total amount of sweets=230

Step-by-step explanation:

ratio=8:5:10

total ratio=8+5+10

=23

Adrian=x

Charlie= x+20

Ben=1/2×(x+20)

Charlie's share

10/23×(x+20+x+(1/2×x+20))=x+20

10/23×(x+20+x+(x+20/2))=x+20

10/23×(x+20+x+x+20/2)=x+20

10/23×(2(x+20)+(2×x)+(x+20/2)/2=x+20

10/23×(2x+40+2x+x+20)/2=x+20

10/23×(2x+2x+x+40+20)/2=x+20

10/23×(5x+60)/2=x+20

50x+600/46=x+20

50x+600=46(x+20)

50x+600=46x+920

50x-46x=920-600

4x=320

4x/4=320/4

x=80

Total amount of sweet

x+x+20+1/2(x+20)

80+80+20+1/2(80+20)

180+1/2(100)

180+50

230

What the car monthly payment?? Show work plz

Answers

Answer:

$656.25

p=35000

t=5

r=2.5

interest=ptr/100

=35000x5x2.5/100

=4375

amount=p+i

=35000+4375

=39375

now,

5 yr= 5x12months = 60 months

$39375/60=$656.25

i think so...

Please help I’ll give brainliest

Answers

Answer:

1000 cubic metre

Step-by-step explanation:

hopes it help

Answer:

solution,

length=10 cm

volume=?

now,

volume of cube=l×l×l

=10×10×10

therefore,the answer is 1000 cubic centimeter

Help me plssss? Thanks

Answers

Answer:

B

Step-by-step explanation:

PLZ HELP IF RIGHT I WILL THEN GIVE YOU BRAINLISET!!!!!!

Answers

Answer:

1, 4, 8, 10

16, 64, 96, 160

Hope it helps u

Thank You

Please mark as brainliest

Answer:

top row is 4 and 10 bottom is 96 and 128

Step-by-step explanation:

goo

Help please if you don’t mind Thankyouu!

Answers

Answer:

(3V) / b = h

Step-by-step explanation:

V = (1/3)bh multiply both sides by 3

3V = bh divide both sides by b

(3V) / b = h

these marbles are placed in a bag and two of them are randomly drawn. what is the probability of drawing two blue marbles if the first marble is placed back in the bag before the second draw

Answers

Answer:  1/4

In other words, the number 4 goes in the green box.

============================================================

Explanation:

2 yellow + 3 pink + 5 blue = 10 total marbles

We have 5 blue out of 10 total, so 5/10 = 1/2 represents the probability of picking a blue marble.

Picking two marbles in a row is represented by the probability (1/2)*(1/2) = 1/4

The fraction 1/2 stays the same for both selections because we put the first marble back.

$12.80 nearest cent ​

Answers

Answer:

13

Step-by-step explanation:

it just 13$ so yeah your welcome

Answer:

12.8

Step-by-step explanation:

Look at the zero in the end (hundreths place). Since it is zero keep everything the same!

If it is higher than 5, round up

If it is 5 or below round down.

0 is special because you can just keep everything the same.

Hope this helps!

what is 35,000,000+600,000+400+40+2 in standard form?

Answers

Step-by-step explanation:

here is the answer to thy question

Answer:

35,600,442

Step-by-step explanation:

If you line up the ones place then you can easily see. After you line it up, you can just add like normal.

35,000,000

00,600,000

00,000,400

00,000,040

+ 00,000,002

-----------------

35,600,442

In a recent flu epidemic, the number of flu cases increased by 40% each week. There were 3,000 flu cases during the first week of January. How many more people were affected by the flu during the third week of January than during the first week?
1,200
2,880
3,280
4,200

Answers

Answer:

Option B  

(B) 2880   Hope this helps <3

Step-by-step explanation: the total number of people affected by flu during  

the 2nd and 3rd week of January, 1200 + 1680  = 2880

Answer:

1,200

Step-by-step explanation:

40%=.4

(3,000)x(.4)=1,200

1,200 more people were more affected in the third week then the first week

F
is directly proportional to
a
.
If
F
=
25
when
a
=
5
find,
F
when
a
=
8

Answers

Since F and a are directly proportional, we can relate F to our unknown F, and a to our other known a.

25 / 5 = F / 8

Cross-multiply to solve.

5F = 200

F = 40

Hope this helps!


What would happen if you subtracted the equation for z from the equation for 10z?



Answers

Answer:9z

Step-by-step explanation:10z-1z=9z

Answer:

the answer would be 3

Step-by-step explanation:

9z = 3

f(x)=x2. What is g(x)?

Answers

Answer:

(2x)^2 the answer is option a

rewrite the following linear equation in general form​

Answers

Given:

The linear equation is:

[tex]y+6=-\dfrac{5}{2}(x+4)[/tex]

To find:

The general form of the given linear equation.

Solution:

The general form of a line is equation is:

[tex]Ax+By=C[/tex]

We have,

[tex]y+6=-\dfrac{5}{2}(x+4)[/tex]

Multiply both sides by 2.

[tex]2(y+6)=-5(x+4)[/tex]

[tex]2(y)+2(6)=-5(x)-5(4)[/tex]

[tex]2y+12=-5x-20[/tex]

Isolating variable terms, we get

[tex]2y+5x=-20-12[/tex]

[tex]5x+2y=-32[/tex]

Therefore, the general form of the given linear equation is [tex]5x+2y=-32[/tex].

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