Please help 30 points!!'

Write an equation based on the following conditions in slope/y intercept form
Perpendicular to 3x-4y=9 through (-15,-4)
also can yall provide some shown work as my geometry teacher asked for shown work

Answers

Answer 1

Answer:

The equation of line perpendicular to given line passing through (-15,-4) is:

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

Step-by-step explanation:

Given equation is:

[tex]3x-4y = 9[/tex]

The given equation is in standard form. We have to convert it into slope intercept form first.

The slope intercept form is:

[tex]y = mx+b[/tex]

So,

[tex]3x-4y=9\\3x-9 = 4y\\4y = 3x-9\\\frac{4y}{4} = \frac{3x-9}{4}\\y = \frac{3}{4}x - \frac{9}{4}[/tex]

The co-efficient of x is the slope of the line.

m = 3/4

The product of slopes of two perpendicular lines is: -1

Let m1 be the slope of line perpendicular to given line then

[tex]m.m_1 =-1\\\frac{3}{4} . m_1 = -1\\m_1 = -1 * \frac{4}{3} \\m_1 = -\frac{4}{3}[/tex]

Putting in slope-intercept form

[tex]y = m_1x+b\\y = -\frac{4}{3}x+b[/tex]

To find the value of b, putting (-15,-4) in equation

[tex]-4 = -\frac{4}{3}(-15) +b\\-4 = 20+b\\-4-20 = b\\b = -24[/tex]

The equation will be:

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

Hence,

The equation of line perpendicular to given line passing through (-15,-4) is:

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


Related Questions

y= p2 + qr write p in terms of y, q and r

Answers

Step-by-step explanation:

y=p²+qr

y-qr=p²

p=√y-qr

now, is it fine..

How many elements are in this equation:Mg2N3? ​

Answers

Answer:

there are 2 Magnesium and Nitrogen

Step-by-step explanation:

1. Suppose y varies directly with and y= 14 when x = -4. What is the value ofy when x= -6? (1 point)
0-21
O 10
O 18
O21

Answers

y=kx

14=k×-4

k=14÷-4

k=-3.5

y=-3.5×-6

y=21.

If you can answer this it would help me out so much!
A certain quadratic function has the factors (x + 3) and (2x - 1). What are the solutions of the function?
A- (0,3) and (0, -1)
B- (-1,0) and (3,0)
C- (6,0) and (-3,0)
D- (0,1/2) and (0, -3)

Answers

x + 3 = 0
2x - 1 = 0
It would be D.

Answer:

Thx for my points back that you stole

Step-by-step explanation:

Heidi has $4.55. She needs to buy bolts at the hardware store. Bolts cost $0.13 each.

What division equation and related multiplication equation could Heidi use to find how many bolts she can buy?

Answers

Answer

35

Step-by-step explanation:

4.55/.13=35. Also, Heidi could do 35x13. I hope this helps!

Among all pairs of numbers with a sum of 105 , find the pair whose product is maximum. Write your answers as fractions reduced to lowest terms.

Answers

Answer: Hence Pair( x, y) = [ 105/2, 105/2]

Step-by-step explanation:

Given that;

Among all pairs of numbers with a sum of 105;

the pair whose product is maximum = ?

so let pairs of numbers with a sum of 105 be x and y respectively

x + y = 105

let y = 105 - x

now

product = xy =  x( 105 - x ) = 105x - x²

now

p(x) = 105x - x²

for maximum value of p

dp/dx =0

⇒ dp/dx = 105 - 2x = 0

2x = 105

x = 105/2

y + x = 105

y = 105 - x

y = 105 - 105/2 = 105/2

Hence Pair( x, y) = [ 105/2, 105/2]

in a study of 300 students under 25 years old, 21have not yet learned to drive. What percentage can drive?

Answers

Answer:

93%

Step-by-step explanation:

From the question given above, the following data were obtained:

Total number of student = 300

Number of student that can not drive = 21

Percentage of student that can drive =.?

Next, we shall determine the number of student that can drive. This can be obtained as follow:

Total number of student = 300

Number of student that can not drive = 21

Number of student that can drive =?

Number of student that can drive = (Total number of student) – (Number of student that can not drive)

Number of student that can drive = 300 – 21

Number of student that can drive = 279

Finally, we shall determine the percentage of student that can drive as illustrated below:

Total number of student = 300

Number of student that can drive = 279

Percentage of student that can drive =?

Percentage of student that can drive =

279/300 × 100

= 93%

Thus, 93% of the student can drive.

The sum of the ages of David and Morgan is 78 years. 7 years ago, David's age was 3 times Morgan's age. How old is David now?

Answers

Answer:

David is 55 years old

Morgan is 23 years old

__________________________________________________________

Step-by-step explanation:

Let the age of David = x years

Let the age of Morgan = y years

We are Given:

The sum of David and Morgan's age is 78

7 years ago, David's age was 3 times Morgan's age

__________________________________________________________

Making the equations:

from the first statement, the sum of their ages is 78

So, we can write it as:

x + y = 78

from the second statement,7 years ago, David's age was 3 times Morgan's age

David's age 7 years ago = (x - 7)

Morgan's age 7 years ago = (y-7)

So, we can write the equation as:

(x - 7) = 3(y - 7)

which can be simplified to:

x = 3y - 14

__________________________________________________________

Solving the equations:

We have the 2 equations:

x + y = 78x = 3y - 14

from the first equation, we can say that:

x = 78 - y

Using this value in the second equation:

x = 3y - 14

78 - y=  3y - 14                                                             [since x = 78 - y]

78 + 14 = 4y

4y = 92

y = 23

Using this value in the first equation:

x + y = 78

x + 23 = 78                                                                  [since y = 23]

x = 55

__________________________________________________________

The Age of David and Morgan:

Since we assigned x to the age of David:

David is 55 years old

We assigned y to the age of Morgan. So,

Morgan is 23 years old

$120 less than half of d dollars

Answers

Answer:

[tex]\frac{d}{2} - 120[/tex]

Step-by-step explanation:

You work backwards:

Half of d dollars is d/2. Then you take 120 less than that, which means you are subtracting.

Answer:

1/2d-120

Step-by-step explanation:

Alright.

d=amount of money

1/2d=half of the amount of money

1/2d-120=half of the money minus 120

Solve for e
7 = 15 - 2e
e equals....

Answers

Answer:

e=4

Step-by-step explanation:

Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter.Area: 49 square feet ft (smaller value) ft (larger value)

Answers

Answer:

Length = 7 ft

Breadth = 7 ft

Step-by-step explanation:

Let lenght of rectangle be x

and breadth be y

Area = [tex]49\ \text{ft}^2[/tex]

[tex]xy=49\\\Rightarrow x=\dfrac{49}{y}[/tex]

Permiter of a rectangle is given by

[tex]P=2(x+y)\\\Rightarrow P=2x+2y\\\Rightarrow P=2\times\dfrac{49}{y}+2y\\\Rightarrow P=\dfrac{98}{y}+2y[/tex]

Differentiating with respect to y we get

[tex]\dfrac{dP}{dy}=-\dfrac{98}{y^2}+2[/tex]

Equating with zero

[tex]0=-\dfrac{98}{y^2}+2\\\Rightarrow -2=-\dfrac{98}{y^2}\\\Rightarrow y^2=\dfrac{98}{2}\\\Rightarrow y^2=49\\\Rightarrow y=7[/tex]

Double derivative of the equation

[tex]\dfrac{d^2P}{dy^2}=2\dfrac{98}{y^3}\\\Rightarrow \dfrac{d^2P}{dy^2}=\dfrac{196}{y^3}>0[/tex]

So the value of y is minimum at 7.

[tex]x=\dfrac{49}{y}=\dfrac{49}{7}\\\Rightarrow x=7[/tex]

Hence, [tex]x=7,y=7[/tex]

The mimimum length and breadth of the rectangle is both 7 ft.

∠1 and ∠2 are vertical angles. If m∠2 = 124°, find the measure of the supplement of ∠1 plzzz i need help

Answers

Answer:

∠1 = 124 degrees

Step-by-step explanation:

Vertical angles are always congruent

So ∠1  = ∠2

Answer:

Supplement of m∠1 = 56°

Step-by-step explanation:

Since both angles are vertical, they both equal to each other.

m∠2 = m∠1

        = 124°

To find the supplement of m∠1, we need to remember that supplementary angles add up to 180°.

Supplement of m∠1 = 180°-124°

                                 = 56°

find the factor 12n-18

Answers

Answer:

Hope this helps!!!

Step-by-step explanation:

6(2−3)

Answer:

6(2n - 3)

Step-by-step explanation:

Write an equation of a line that passes through (-3, 5) and (-7, 5).

Answers

Answer:

y=5

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( 5-5)/( -7 - -3)

   = ( 5-5) / ( -7+3)

  = 0/-4

The slope is 0

This means it is a horizontal line

Horizontal lines are in the form

y =

The y coordinate is 5

y=5

Do you guys know this

Answers

Answer && Step-by-step explanation:

Simple plug and chug

we know a+b == 6 so replace the set as 6 so:

2(6)+6/6+(6)^2-2

12+1+36-2

49-2

==47

Can someone please do this?

Answers

All of them except for 72441 are divisible by 2

10 .find the partial sum S10 of the arithmetic series with a1 = 4, d = 5.

Answers

Answer:

S10 = 320

Step-by-step explanation:

The formula for calculating the sum of the nth term of an AP is expressed as

Sn = n/2(2a+(n-1)d))

Given

a = 4

d = 5

n = 10

S10 =10/2{2(5)+(10-1)5}

S10 =5{10+9(6)}

S10 =5{10+54}

S10 = 5(64)

S10 = 320

Hence the sum of the first ten terms of the sequence is 320

The hypotenuse is always the __________ side of a right triangle.

Answers

Answer:

the answer is opposite

The selling price of a watch is rs 220. If 10% profit has been included in the marked price of the watch, what is the marked price??​

Answers

Answer:

22 is 10 of 220

Step-by-step explanation:

hope it help

Solve the inequality 2 (x - 2) +8.6 < 14.​

Answers

Answer:

x<4.7

Step-by-step explanation:

2(x-2)+8.6<14

2x-4+8.6<14

2x=4.6<14

2x<14-4.6

2x<9.4

_____

x<4.7

                                mom said its my turn to be brainliest answer ;0

                                also, help me on my math hw maybe ?

Answer: x < 4.7

Step-by-step explanation:

will someone plz do this question​

Answers

Answer:

the answer is a your welcome

whats the y-intercept of y= 1/3 x-1y

Answers

Answer:

(0, 0)

Reasoning:

Y-intercept means set x to 0 and solve, therefore;

[tex]y=1/3(0) -1y[/tex]

[tex]y=0-1y[/tex]

[tex]2y=0[/tex]

[tex]y=0/2=0[/tex]

Thus, the y-intercept is (0,0)

I hope this helps you and good luck!

A person begins with $1500 in her savings account. She deposits $40 per month. Let N represent the number of months she has the account. Let A represent the amount in dollars in the account

Answers

Answer:

1500+40N=A

Step-by-step explanation:

40 per month (N) plus the initial amount = $ in account (A)

29.9.2+ n+ 8.4 = 20.8
Please help

Answers

Answer:

n=6.42

Step-by-step explanation:

Following the steps for this equation.

Answer:

29.9.2+

Step-by-step explanation:

That should be right

PLEASE PLEASE PLEASE HELP​

Answers

Answer:

some dumb mod deleted my answer because i didnt show work. Who cares about the work everyone just wants the answers.

55.) A.9 B. 29

57.) SAS

Step-by-step explanation:

4) On a 75-question multiple choice test, Niran answered 64 questions correctly. What was his percentage score?

Answers

I believe that his percentage was 85%

What partial products can be used to find the product 3x219

Answers

Answer:

You can do (3x200)+(3x10)+(3x9) Hope it helps!

The product is 657 if you need it!

Step-by-step explanation:

What percent is 8 out of 32?

Answers

Answer:

25%

Step-by-step explanation:

8/32= 25%

84 y is directly proportional to x. Given that y = 144 and x = 12. Find the value of y when x = 7.

Answers

84y = k x X
84 x 144 = 12,096
12,096 = k x 12 Divide by 12 each side
1,008 = k
84 y = 1,008 x 7
84y = 7056 divide by 84 each side

Y = 84

Eddie is reading a novel for English class. He has read 168 out of 480 pages. What percent of the book has he read?

Answers

Answer:

0.35%

Step-by-step explanation:

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