Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15.

Answers

Answer 1

Answer:

y = [tex]\frac{3}{5}[/tex] x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

5x + 3y = 15 ( subtract 5x from both sides )

3y = - 5x + 15 ( divide all terms by 3 )

y = - [tex]\frac{5}{3}[/tex] x + 5 ← in slope- intercept form

with slope m = - [tex]\frac{5}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{3} }[/tex] = [tex]\frac{3}{5}[/tex] , thus

y = [tex]\frac{3}{5}[/tex] x + c ← is the partial equation

To find c substitute (5, 1) into the partial equation

1 = 3 + c ⇒ c = 1 - 3 = - 2

y = [tex]\frac{3}{5}[/tex] x - 2 ← equation of perpendicular line

Answer 2

Here, we are required to Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15.

The equation of the line is; 3x - 5y = 10.

By comparison with the equation of a straight line: y = Mx + c

The equation 5x+3y=15 can be rewritten as ;

y = (-5/3)x + 5

Therefore, the slope of the equation is; (-5/3)

The product of the slope of two perpendicular lines is: -1.

therefore m1m2 = -1

Therefore; M2 = -1/(-5/3)

Therefore M2 = 3/5

The equation of the line passing through the point (5, 1) that has slope, M2 = 3/5 is;

3/5 = (y - 1)/(x - 5)

By Cross product;

3x - 15 = 5y -5

Therefore, the equation of the line is;

3x - 5y = 10.

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Related Questions

Help me PLEASE thank you​

Answers

Answer:

top question is the 4th choice.

Step-by-step explanation:

TI
B
A
В.
A
a. Description of Transformation:
b. Equation for pre-image:
c. Equation for image:

Answers

Yes sir get that work in


9(18) using disributive property.

Answers

Answer:

162

Step-by-step explanation:

9 * 18 = 162

Answer:

162

Step-by-step explanation:

A used car is for sale for $8,950. If Jenny will pay for the car over a 5 year period, what will be her monthly payment, to the nearest dollar?

3,729/month

1,790/month

149/month

60/month​

Answers

Answer:

your answer will be 149/month

Step-by-step explanation:

you wanna ask urself how many months are in 5 years

The answer is: 60 months

then, you wanna divide the cost of the car over 60 months

So:

[tex]$8950/60=149.166[/tex]

round that to the nearest dollar AKA the ones

it'll be 149

and don't forget the unit of time

which is month

$149/month

Which of the following is not a number set that contains the number 0? A. rational numbers B. irrational numbers C. whole numbers D. integers

Answers

Answer:

irrational numbers

Step-by-step explanation:

irrational numbers is the correct and right answer

reflect point R(6,10 ) over the y-axis. The coordinates for R' are

Answers

Answer: (6,-10)

Step-by-step explanation:

When you reflect a point over the y-axis, the sign of the number changes. It goes from negative to positive and positive to negative. Since both our numbers are positive, only the y-coordinate become negative because it is only being reflected over the y-axis, not x-axis. (6,-10)

plz help.will give brainliest

Answers

Answer:

x+2 x+2 x+2

Step-by-step explanation:

Just about adding or subtracting same signs, dont understand what exactly those 2 words are supposed to be...

Answers

is this adding integers or subtracting? if adding then add and keep and if subtracting then subtract and keep

(0.4y - 3)/(1.5y + 9) = -7/5

Please help

Answers

Answer: -96/25

Step by step explanation:

What is the square root of 586

Answers

here’s everything you might need to know! hope this helps!!

Square root of 586 definition
The square root of 586 in mathematical form is written with the radical sign like this √586. We call this the square root of 586 in radical form. The square root of 586 is a quantity (q) that when multiplied by itself will equal 586.

√586 = q × q = q2

Is 586 a perfect square?
586 is a perfect square if the square root of 586 equals a whole number. As we have calculated further down on this page, the square root of 586 is not a whole number.

586 is not a perfect square.
Is the square root of 586 rational or irrational?
The square root of 586 is a rational number if 586 is a perfect square. It is an irrational number if it is not a perfect square. Since 586 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 586?" will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.

√586 is an irrational number


Can the square root of 586 be simplified?
You can simplify 586 if you can make 586 inside the radical smaller. We call this process "to simplify a surd". The square root of 586 cannot be simplified.

√586 is already in its simplest radical form.


How to calculate the square root of 586 with a calculator
The easiest and most boring way to calculate the square root of 586 is to use your calculator! Simply type in 586 followed by √x to get the answer. We did that with our calculator and got the following answer with 9 decimal numbers:

√586 ≈ 24.207436874

Using the order of operations, what should be done first to evaluate 6 + StartFraction (negative 5 minus 7) over 2 EndFraction minus 8 (3)? Subtract 7 from –5. Multiply 8 and 3. Divide 7 by 2. Add 6 and –5. can yall pls hurry i need this right now

Answers

subtract 7 from -5

Step-by-step explanation:

Answer:

Subtract 7 from –5.

Step-by-step explanation:

I just took the test and it said that Subtract 7 from –5 was right

Which charts or graphs always use axes both labeled with quantitative values and show individual points of data, meaning that each point matches with one value on the x-axis and one value on the y-axis? Check all that apply.
histograms
scatterplots
line graphs
pie graphs
bar graphs
frequency distributions

Answers

The correct choices would be scatter plots, line graphs, bar graphs option second, third, and fifth are correct.

What is scatter plot?

Scatter plots are graphs that represent individual points of data and are labeled with quantitative values on both the co-ordinate axes, meaning that there is only one projection on the x-axis and one projection on the y-axis for each point.

We have:

The chart or graph always use axes both labeled with quantitative values and show individual points of data.

Each point matches with one value on the x-axis and one value on the y-axis.

The chart or graph would be scatter plots, line graphs, bar graphs.

Thus, the correct choices would be scatter plots, line graphs, bar graphs.

Learn more about the scatter plot here:

https://brainly.com/question/13984412

#SPJ1

Answer:I belive it is b and c

Step-by-step explanation:

What is the equation?
-A parabola that is vertically stretched by a factor of 2 sitting with its vertex on the x axis at x=-3

Answers

Answer:

f(x) = 2(x + 3)²

Step-by-step explanation:

Parent Graph: f(x) = a(bx - h)² + k

a is vertical shrink/stretch

b is horizontal shrink/stretch

h is horizontal movement left/right

k is vertical movement up/down

h, k is vertex

Step 1: Define variables

h = -3

k = 0

a = 2

Step 2: Write quadratic

f(x) = 2(x + 3)²

Sally is having a party and she has invited nine of her friends.
She is going to make a special non-alcoholic fruit punch for them all
to drink. Sally wants to make enough fruit punch for herself
and all her friends to have one glass each.
Sallys Fruit Punch Recipe.
The recipe below makes enough
fruit punch for 1 person.

1/2 lime
1/2 lemon
100ml pineapple juice 200ml lemonade 100ml orange juice
1) How much of each ingredient will she need?

Limes
Lemons Pineapple juice Lemonade Orange juice
Cost of ingredients:
Pineapple Juice
Lemons 50 each
Limes 40c each
Lemonade (2 liter bottle) $1.60
Orange juice (1 liter carton) 80c
Pineapoe juice (1 liter carton) 90c

Answers

Answer:

1) 5 limes, 5 lemons, 1,000 mL of pineapple juice, 2,000 mL of lemonade, 1,000 of orange juice

2) Limes = $2, Lemons = $2.5, Lemonade = $1.60, Orange Juice = 80c, Pineapple Juice = 90c

Step-by-step explanation:

1/2 limes · 10 = 5

1/2 lemons · 10 = 5

100 mL of pineapple juice · 10 = 1,000 mL

200 mL of lemonade · 10 = 2,000 mL

100 mL of orange juice · 10 = 1,000 mL

Cost:

5 limes · 0.4 = $2

5 lemons · 0.5 = $2.5

mL to L

1,000 mL of pineapple juice = 1 L, this costs 90¢

2,000 mL of lemonade = 2 L, this costs $1.60

1,000 mL of orange juice = 1 L, this costs 80¢

Overall:

5 limes for $2

5 lemons for $2.5

1 L of of pineapple juice for 90¢

2 L of lemonade for $1.60

1 L of orange juice for 80¢

Write the equation g(x) of the transformation of the parent graph f(x) = |x| translated right 5 units.

Answers

Answer:

g(x) = |x-5|

Step-by-step explanation:

f(x) = |x|

y = f(x + C)  C < 0 moves it right

g(x) = |x-5| moves it to the right 5 units

We start off with: f(x) = |x|

c < 0 means move right

y = f(x + c)

Move 5 units to the right

After: g(x) = |x - 5|

Best of Luck!

What is the simplified answer?

Answers

512x³, I think, because 2x cubed (2x³) is 8x, and 8x cubed again ([8x]³) is 512x³.

Hope I helped!!!

What’s 12 away from -6 on a number line?

Answers

Answer:

-18

Step-by-step explanation:

you add 12 and six together and you get 18. Then you put a negative sign in front of it

-18 , because u start with -6 and you count 12 spaces to the left

Least to greatest PLEASE IM STRUGGLING AS IS WITH THE COMPUTER

Answers

Answer

Least to Greatest order by options: 3, 2, 4, 1

Step-by-step explanation:

Option 3 is 1/2 therefor its 0.5

Option 2 is 4.4

Option 4 is 10

Option 1 is 13.14

And that's put in least to greatest order.

my handwriting is kinda bad sorry but i hope this helps :)

Expand each expressions and combine like terms if possible
-12(5/6x - 5) + 2x​

Answers

Answer:

The answer is

60 - 8x

Step-by-step explanation:

[tex] - 12( \frac{5}{6} x - 5) + 2x[/tex]

Using FOIL multiply the terms in the bracket

That's

[tex] - 12( \frac{5}{6} x) + 12(5) + 2x \\ \rarr \: \: - 10x + 60 + 2x[/tex]

Group like terms

That's

[tex]60 + 2x - 10x[/tex]

We have the final answer as

60 - 8x

Hope this helps you

Explain why the graph of the equation g(x)=-(x+1)^2-3 would be a parabola opening downward.

The parabola opens downwards since a=____ and this value is _____ 0.

The choices for the second blank question are:
-less than
-greater than
-equal to

Answers

g(x) = -(x + 1)^2 - 3

Let's simplify this equation

g(x) = -(x^2 + 2x + 1) - 3

Distribute the negative sign

g(x) = -x^2 - 2x + 1 - 3

Combine like terms

g(x) = -x^2 - 2x - 2

The value of a = -2 and this value is LESS THAN 0

3/4+(1/3÷1/6)-(-1/2)=? Please I need this quick!!!

Answers

Answer:

3 and 1/4

Step-by-step explanation:

i need to know the answer as soon as possible.

Answers

0.35p

Because the price also indicates percentage

Answer:

p - 0.35, so C.

It's not A because that's the regular price times the percentage off.

What does 8-2(y+4)=1/2(8y-12) equal?

Answers

y = 1

8-2y - 8 = 4y - 6

-2y = 4y - 6

-6y = -6

y = 1

Answer:

Step-by-step explanation:

8 - 2y - 8 = 4y - 6

-2y = 4y - 6

6y = -6

y = -1

Mark's computer has 24 GB of total storage space. A gigabyte (GB) of computer storage space is 230 bytes. How many bytes of total storage space does the computer have? Express the total number of bytes in exponential form.

Answers

Answer:

240gb

Step-by-step explanation:

Aaron puts $1,000 in an account that pays 10% interest compounded quarterly. He leaves it in the account for six months. Estimate how much interest he earns.

Answers

Answer: $50.63 --- Interest

Step-by-step explanation:

Step 1

Using the formulae

A = P(1 + r/n)^nt

Where

A = principal + interest Amount

P = Principal Amount = $1000

t = Time  in years= 6months = 0.5 years

n = number of compounding periods= quarterly =4

Step 2

6 months = 6/12 = 0.5 years

Rate = 10 % = 0.1

A = P(1 + r/n)^nt

= 1000 ( 1 + 0.1/4)^(4 x 0.5)

=1000(1 +0.025)^2

= 1000(1.025)^2

= 1000 x 1.050625

A= $1,050.625

but A = principal + interest Amount

Interest = A- Principal=$1,050.625-$1,000

=$50.625

simplify 9x+4(x+2)-5

Answers

The answer is 13x+5.

Answer:

13x + 3

Step-by-step explanation:

9x + 4x + 8 -5

13x + 3

Just multiply (x + 2) by 4

and add simply.

I hope now you got it.

(ANSWER FOR POINTS AND BRAINLEST!!!) Identify the scale factor in the image below.
1.) 2
2.) 1/2
3.) 3/2
4.) 2/3

Answers

Answer:

it should be 3/2  !

I think it’s 3/2 (3)

What is 3.142 rounded to the nearest hundredth?

Answers

Answer:

3.140

Step-by-step explanation:

Answer:

3.14

Step-by-step explanation:

-----

f(x) = x^2 x+1
g(x)= 2x-5
find f(x)-g(x)

Answers

Answer:

Step-by-step explanation:

x^2 + x + 1 - 2x + 5

x^2 - x + 6

If ST=SV=90, TU=7x, and UV=x+84, what is the value of x?

Answers

84 will be the answer to the question
Other Questions
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