(-4,1); perpendicular to y= -5/6x +3

Answers

Answer 1

Answer:

y = (6/5)x + 29/5

Step-by-step explanation:

To avoid confusion please enclose the fractional exponent inside parentheses:  y= -5/6x +3 =>  y= (-5/6)x +3

The new line is to be perpendicular to the given line (above).  The slope of this new line must be the negative reciprocal of (-5/6), which is (6/5).

Usig the slope-intercept formula, we get y = mx + b, or

1 = (6/5)(-4) + b

The LCD here is 5.  Multiplying all 3 terms by 5, we get:

5 = 6(-4) + 5b, or

5 = -24 + 5b, or

5b = 29

Then b = 29/5, and the desired equation is:

y = (6/5)x + 29/5


Related Questions

5\6 of 45kg plz can u tell me ans​

Answers

37.5
You are very welcome

1) someone answer this please

Answers

Answer:

x = 15

y = 1

Step-by-step explanation:

What additional information do you need to prove triangle NOP is congruent to triangle QSR?

Answers

Answer:

D [tex]\angle O\cong\angle S[/tex]

Step-by-step explanation:

[tex]\angle O\cong\angle S[/tex]

Hope it helps you in your learning process.

Graph a line with a slope of -3/4
that contains the point (2,3) ?

Answers

Answer:

First place a mark at your point. (x=2, y=3)

Step-by-step explanation:

Now when you look at the -3/4 that is called your rise over run so you will go down 3 and over 4 so your next point will be at (x=0, y=6) and then you connect your dots to make a line.

10) y-5=-5/3(x+3)

A) x-2y = 2
C) 3x - 2y=0
B) 5x + 3y - 0
D) 3x +2y=0

Answers

Answer:

A

Step-by-step explanation:

3. If each interior angle of a regular polygon has a measure
of 168.75°, find the sum of the interior angles.

Answers

Answer:

2.13333

Step-by-step explanation:

2x180 over 168.75

I AM NOT SURE OF THE ANSWER THO

Which of the following points would be a solution to this system of linear inequalities? ​

Answers

Let's plug in both x and y values in the equation and check if the inequality is true...

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

[tex](4,1) \\ y \leqslant x + 1 \\ y < - \frac{x}{2} - 1[/tex]

Substitute x as 4 and y as 1

[tex]1 \leqslant 4 + 1 \\ 1 < - \frac{4}{2} - 1[/tex]

[tex]0 \leqslant 4 + 1 \\ 1 < - 2 - 1[/tex]

[tex]0 \leqslant 5 \\ 1 < - 3[/tex]

This is not a solution because both are not true, Only one equation is giving true as answer which is not correct!~

[tex]\purple{ \rule{300pt}{3pt}}[/tex]

[tex](0, - 3) \\ y \leqslant x + 1 \\ y < - \frac{x}{2} - 1[/tex]

Substitute x as 0 and y as -3

[tex] - 3 \leqslant 0 + 1 \\ - 3 < - \frac{0}{2} - 1[/tex]

[tex] - 3 \leqslant 1 \\ - 3 < - 0 - 1[/tex]

[tex] - 3 \leqslant 1 \\ - 3 < - 1[/tex]

This is a solution because both are true, Both the equations are true which means the ordered pair is a solution!~

Thus, Option B (0,-3) is the correct choice....

Ahhh I’m stuck on this one please help

Answers

Answer:

1.20 ÷ 4 = 0.30 per unit

Please mark as brainliest;)

A set of four chocolate bars costs £1.20. A single chocolate bar costs. A single chocolate bar costs £0.3. As a result, the price of chocolate bars per unit is £0.3.

How to simplify 3²y×3⁴y?​

Answers

Step-by-step explanation:

please mark me as brainlest

Pls help me on this problem I’m confused

Answers

Answer:

30 × 24 = 720 inches

since there are 12 inches in a foot

720 ÷ 12 = 60

60 feet converted to yards is 20 yards

50 - 20 = 30

they should have 30 yards of string left over

Solve for x. 4x - 8 = 2x - 6

Answers

Answer:

x=7

Step-by-step explanation:

4x-8=2x-6

4x-2x=-6+8

2x=-14(divide both the sides by 2)

x=7

CAN SOMEONE HELP ME OUT PLEASE AND THANK YOU

Answers

Answer:

i think c no is the correct answer

The Art and History Museum offers a family discount card for a donation of $57. I The table shows the price per person with and without the discount card. Child's Ticket (12 & Under) Price without Discount Card Price with Discount Card 58 $15 $12 Adult's Ticket For what number of visits will the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card?​

Answers

Answer:

8 number of visits will be the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card

Step-by-step explanation:

                             Price without Discount Card   Price with Discount Card

Ticket (12 & Under)        $10                                             $8

Adult's Ticket                  $15                                           $12

Let x be the number of visits

Price without discount card for 2 adults and 1 child ticket

Price without discount for x visits = [tex]x(15 \times 2+ 10)=40x[/tex]

Price with discount for x visits =[tex]57+ x(12 \times 2+ 8)=57+32x[/tex]

Now to find For what number of visits will the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card

57+32x< 40x

57<8x

7.1<x

So, 8 number of visits will be the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card

Find the distance between these 2 points: (-4, 5) and (4, 0)

Answers

Answer: Length  =  9.434

Step-by-step explanation: Input Data :

Point 1

(

x

A

,

y

A

)

= (-4, 5)

Point 2

(

x

B

,

y

B

)

= (4, 0)

Objective :

Find the distance between two given points on a line?

Formula :

Distance between two points =

(

x

B

x

A

)

2

+

(

y

B

y

A

)

2

Solution :

Distance between two points =

(

4

4

)

2

+

(

0

5

)

2

=

8

2

+

(

5

)

2

=

64

+

25

=

89

= 9.434

Distance between points (-4, 5) and (4, 0) is 9.434

Jenna runs 6km per hour, how long would it take her to run 3km

Answers

It would take Jenna half an hour, or 30 minutes, to run 3 km.

Hope this helps!

At what rate percent per annum will the simple interest on Rs 15000 be Rs 3000 in ? 2 1/2 years

Answers

Answer:

Rate=8%

Step-by-step explanation:

Step 1: Write the given terms

Principal (p)=Rs15000

Rate(r)=?

Time(t)=2 1/2=5/2=2.5

Interest(i)=Rs3000

Step 2: Write the formula for calculating Simple interest

[tex]i = \frac{p \times r \times t}{100} [/tex]

Step 3: Make Rate(r) the subject of the equation in Step 2

[tex]by \: cross \: multiplcation \\ 100i = prt \\ divide \: both \: sides \: by \: pt \: to \: have \\ \frac{100i}{pt} = r[/tex]

Step 4: Use the new equation for r to get the rate by substitution

[tex]r = \frac{100i}{pt} \\ r = \frac{100 \times 3000}{15000 \times 2.5} \\ r = \frac{300000}{37500} \\ r = 8[/tex]

Hence, the rate of the simple interest is 8%

pls answer both questions for brainliest :)​

Answers

Step-by-step explanation:

I explained your answer in the sent photo

Bonnie deposits $180 in a savings account that earns simple interest at an annual rate of 3%. How much interest does her account earn after 10 years?

Answers

Answer:   $54.00

Explanation: Three percent of $180.00 is $5.40. So Bonnie receives $5.40 annually. In ten years, she will have $54 (multiply 5.40 by 10).

PLEASE HELP! I WILL GIVE BRAINLIEST AND NO LINKS PLEASE

Answers

Answer: 10

Step-by-step explanation:

4(2x-5)

distribute

8x-10

8x-10=8x-10

Which three temperature readings all mean the same thing?
C
273 Kelvin, 100 degrees Celsius, 212 degrees Fahrenheit
O
273 Kelvin, 0 degrees Celsius, 32 degrees Fahrenheit
O
100 Kelvin, 0 degrees Celsius, 32 degrees Fahrenheit
O
373 Kelvin, 100 degrees Celsius, 273 degrees Fahrenheit

Answers

Answer:

273 K, 0 C, 32 F

This is freezing temperature for all 3 systems.

Part A: Solve for A​

Answers

See picture for math work and answer.

In triangle dat, m < d = 27, m < a = 105, and t=21. find d to the nearest integer.

Answers

Answer:

d = 13

Step-by-step explanation:

Given:

m ∠ d = 27°

m ∠ a = 105°

t = 21°

Look at the picture I posted

Use sine law:

[tex]\mathrm{\dfrac{ sin\:a }{ A } = \dfrac{ sin\:B }{ b }}[/tex]

∠T = 180° - 27° - 105°

∠T = 48°

[tex]\mathrm{\dfrac{ sin\:48\° }{ 21 } = \dfrac{ sin\:D }{ d }}[/tex]

[tex]\mathrm{\dfrac{ sin\:48\° }{ 21 } = \dfrac{ sin\:27 }{ d }}[/tex]

Cross multiply

[tex]\mathrm{{d\:sin\:48\°} = { 21\:sin\:27\°}}[/tex]

Solve for d

[tex]\mathrm{d = \dfrac{ 21\:sin\:27\° }{ sin\:48\° }}[/tex]

Evaluate trigonometric functions in the problem

[tex]\mathrm{d = \dfrac{ 21 \times 0.453990499739547 }{ 0.743144825477394 }}[/tex]

Multiply 21 and 0.453990499739547 to get 9.533800494530487

[tex]\mathrm{d = \dfrac{ 9.533800494530487 }{ 0.74314482547394 }}[/tex]

Divide 9.533800494530487 by 0.743144825477394

[tex]\mathrm{d = 12.828993983}[/tex]

d = 13

Rounded to the nearest integer: 13

How many and of which kind of roots does the equation f(x) = 2x4 – 9.23 + 1722 – 16x + 6 have?
A. 4 real
OB. 4 real; 4 complex
C. 2 real; 2 complex
OD. 4 complex
Reset Selection

Answers

Answer:

D, it admits 4 complex roots

Step-by-step explanation:

Based on what you've written;

f(x) can be rewritten by adding the light terms together as;

f(x)=2x-16x+1768.68

By graphing this function on an app, since i cannot possibly simplify this equation or use a calculator;

we observe that this function does not intersect the x-axis at any point, hence it does not admit any real roots.

So your answer must be D.

ps: Regardless if you forgot any x's in your equation and if f(x) was actually defined by,

f(x)=2x-9.32x³+1772x²-16x+6

This equation also admits 4 complex roots and does not intersect the x-axis

need help with thiss

Answers

Hello!

2( 8u² + uv²w -1) + 2( 5u²-v^6) -2( 2v)

= 16u²  +  2uv²w  -2 + 10u² - 2v^6 -4v

=   2uv²w  - 2v^6  +  26u²   -4v -2      

There were 6 boys for every 9 girls at Winnsboro High School last year. If there were 480 students at the school, how many were girls and how many were boys?​

Answers

Answer:

288 girls and 192 boys

Step-by-step explanation:

Ratio of boys to girls is 6:9

So, first find the total parts they are dividied into. 6+9= 15

480/15= 32. So one part has 32 students.

The boys are of 6 parts of 15 (as in the ratio). So 32 x 6= 192 boys.

girls are 32 x 9= 288 girls

they add to 480.

192 boys and 288 girls, pls mark me brainliest if i’m right :))

If 8 superscript y baseline = 16 superscript y 2, what is the value of y?

Answers

The value of unknown number y for the equation  8 superscript y baseline = 16 superscript (y+2) is -8.

How to simplify power raised by another number?

When the power of a number is raised by another number, then multiply both the powers and the result of this product keep as the power of the number.

Let suppose there is a number a. For this number the above rule can be given as,  

[tex](a^m)^n=a^{m\times n}\\(a^m)^n=a^{mn}[/tex]

The expression which consist unknown variable y is given as,

[tex]8^y=16^{y+2}[/tex]

The above equation can be written as,

[tex](2\times2\times2)^y=(2\times2\times2\times2)^{y+2}\\(2^3)^y=(2^4)^{y+2}\\(2)^{3y}=(2^)^{4y+8}[/tex]

As the base of both side of the equation is same. Thus, the value of their exponent can be compared.

[tex]3y=4y+8\\4y-3y=-8\\y=-8[/tex]

Thus, the value of unknown number y for the equation  8 superscript y baseline = 16 superscript (y+2) is -8.

Learn more about the  power raised by another number here;

https://brainly.com/question/960886

If y=tanx-cotx, then dy/dx =

Answers

Answer:

dy/dx=sec^2^(x)-(-csc^2(x)

=sec^2(x)+ csc^2(x)

so solution is E

Answer:

e) sec^2x+csc^2x

A shipping box in the shape of a rectangular prism has the volume 15,000 cm3. The length of the box is 30 cm and the width is 25 cm. What is the height of the box?

A. 24 cm
B. 16.7 cm
C. 15 cm
D. 20 cm
Please help

Answers

Answer:

  D.  20 cm

Step-by-step explanation:

The volume of a rectangular prism is given by the formula ...

  V = LWH

__

For the dimensions given, we have ...

  15000 cm³ = (30 cm)(25 cm)H

  15000/750 cm = H = 20 cm

The height of the box is 20 cm.

Let's look at this system of equations"

2x - 4y = 20
X = 4

Solve the system using substitution or elimination. Show your work and/or explain your reasoning.

PLEASE HELP ME GUYS IM BEGGING YOU AND PLEASE SHOW ME HOW U DID IT!!!

Answers

Step-by-step explanation:

Given,

x = 4

2x - 4y = 20

Now,

2x - 4y = 20

or, 2×4 - 4y = 20

or, 8 - 4y = 20

or, -4y = 20 - 8

or, y = 12/-4

or, y = -3

therefore, y = -3

Answer:

(x,y)=(4,-3)

Step-by-step explanation:

2x-4y=20

x=4

substitute the given value of x into the equation

2×4-4y=20

solve the equation for y

y=-3

A possible solution of the system is the ordered pair

(x,y)=(4,-3)

CHECK SOLUTION!

2×4-4×(-3)=20

4=4

simplyfy the quality

20=20

4=4

since all of the qualities are true, the ordered pair is the solution of the system

(x,y)=(4,-3)

hey hi I hope this helps

If a prime number is greater than 2, it is odd.
TRUE OR FALSE

Answers

Answer:

True

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

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