What is the y - intercept of the line perpendicular to 5x - 3y = 8 through the point (-5, 2)?

Answers

Answer 1

Answer:

Let's see what to do buddy..

Step-by-step explanation:

_________________________________

STEP (1)

We have to first find the slope of the given line. To do that we must write the given line to slope-intercept form.

[tex]5x - 3y = 8[/tex]

Subtract the sides of the equation minus 5x :

[tex] - 3y = 8 - 5x \\ - 3y = - 5x + 8[/tex]

Divided the sides of the equation by -3 :

[tex] \frac{ - 3}{ - 3}y = \frac{ - 5x + 8}{ - 3} \\ \\ y = \frac{5}{3}x - \frac{8}{3} [/tex]

We know that the slope-intercept form of the linear functions is like this :

[tex]y = a \: x + b[/tex]

Where a is the slope and b is width of origin.

So the slope of the given line is 5/3.

_________________________________

STEP (2)

The slopes of two lines perpendicular to each other are symmetrical and inverse to each other.

In other words, the product of the slopes of two lines perpendicular to each other is -1 .

So :

[tex] \frac{5}{3} \times (t) = - 1 \\ [/tex]

Divided the sides of the equation by 5/3 :

[tex] \frac{ \frac{5}{3} }{ \frac{5}{3} } \times t = \frac{ - 1}{ \frac{5}{3} } \\ \\ t = - \frac{3}{5} [/tex]

((t)) is the slope of the line which we want to find.

_________________________________

STEP (3)

We have this equation to find the slope-intercept form of the linear functions :

[tex]y - y(given \: point) = (slope) \times ( \: x - x(g \: p) \: ) \\ [/tex]

Now Just need to put the slope and the given point in the equation:

given point = ( -5 , 2 )

slope = -3/5

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

Subtract the sides of the equation plus 2 :

[tex]y = - \frac{3}{5}x - 1 \\ [/tex]

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️


Related Questions

PLEASE HELP I NEED IT FAST​

Answers

for question 2: its 3 with the power of 6

Choose the correct math expression for: 45 more than the difference of 35 and 13.

(35 - 13) - 45

(35 - 13) + 45

(35 + 13) + 45

Answers

Answer:

(35-13)+45

Step-by-step explanation:

The second expression because as the difference of 35 and 13 is 35-13, it cannot be the third one. As the first phrase says 45 MORE than the 35-13, we need to have +45 after, and the second equation has +45, so the second expression is true about the statement. Hope it helps!

Answer

(35-13) + 45

I had this problem before and got it correct

5x+5=10 what dose x =

Answers

Answer:0 becAusethere isno x

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

first, subtract 5 from both sides

5x+5-5=10-5

and you got

5x=5

and then, divide both sides by 5

x = 1

which one is it? because idk

Answers

Answer:

i cant see the picture

Step-by-step explanation:

Answer:

It is A. Literally just order that numbers. Bigger negative numbers are "less" than smaller ones.

|2x - 3] > 7 is equivalent to:

Answers

Answer:

x<5

Step-by-step explanation:

2x-3>7 you add three to both sides

2x>10 you then divide 2x by 2 and 10 by 2 which switches the symbol around

x<5 that's the answer

Answer:

Step-by-step explanation:

x∈(-∞,-2)∪(5,+∞)

When is the square root of a whole number rational? When is it irrational?​

Answers

Answer:

The square root of a whole number is rational if the number as a factor when multiplied by itself, it produces the number. It is irrational if no such multiple exists.

Step-by-step explanation:

Luke saves $5 for every $2 he spends.

Complete the ratio table to show the relationship between the amount saved compared to the amount spent.

Answers

Answer:

5:2

10:4

15:6

20:8

Is this what format you wanted the answer?

Step-by-step explanation:

The ratio will be: 5 : 2

hellppp meeeeee......​

Answers

Angle 4 and 7= Interior angles

Angle 12 and 16= Corresponding angles

Angle 1 and 14= Alternate exterior angles

Angle 5 and 10=Alternate angles

angle 6 and 7 are alternate angles I think.

What is the length of the diagonal of the square shown below?
7
45°
7
190
7
A. 49
B. 14
C. 71
D. 7
E. 7
F. 7.

Answers

Using the Pythagorean Theorem, it is found that the length of the diagonal of the square shown below is given by:

F. [tex]h = 7\sqrt{2}[/tex]

What is the Pythagorean Theorem?

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

In this problem, the diagonal is the hypotenuse, while the legs are the sides of [tex]l_1 = l_2 = 7[/tex], hence:

[tex]h^2 = l_1^2 + l_2^2[/tex]

[tex]h^2 = 7^2 + 7^2[/tex]

[tex]h^2 = 2 \times 49[/tex]

[tex]h = \sqrt{2 \times 49}[/tex]

[tex]h = 7\sqrt{2}[/tex]

Hence option F is correct.

More can be learned about the Pythagorean Theorem at https://brainly.com/question/654982

Melanie read 70 pages of her book in 50 minutes. How many pages does she read per minute

Answers

Answer:

1.4 pages per minute

Step-by-step explanation:

70/50=1.4

What is Z, M<1, M<2, and M<3

Answers

Answer:

Z=8

Step-by-step explanation:

18 times 8 equals 144

144+2=146

3 times 8 equals 24

24+10=34

34+146=180

( Don't Report Pleaseee) Yoooo do you guise agree me on that japan should make a skateboarding anime show like bro like i feel like that would be good. lol maybe it is just me

Answers

Answer:

yea for real they should ngl I love anime.

Answer:

Maybe they should but they would have to have some good characters

A 21 foot tower must be secured with a wire anchored 7 feet from the base of the tower. What angle will the wire make with the ground? Round your answer to the nearest tenth.

Answers

Answer:

71.6

Step-by-step explanation:

opposite=height= 21 ft

Adjacent= length of shadow = 7ft

Angle of inclination= C

tan C = 21/7

C= tan‐¹(3)= 71.6

How do you convert a repeating decimal into a fraction? Because, I was asked this question: Rewrite as a simplified fraction. 3.24=?

Answers

Answer:

3  6/25

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

3.24=3.24/1

Multiply to remove 2 decimal places. you multiply top and bottom by 10^2 = 100

3.24/1×100/100=324/100

Find the Greatest Common Factor of 324 and 100. reduce the fraction by dividing both numerator and denominator by GCF = 4,

324÷4 over 100÷4=81/25

Simplify the improper fraction

=3 & 6/25

Graph y =-2x +7 please

Answers

Answer:

You find 7 on the y-axis.

Then go down two over 1 (to the right) and mark the point.

Repeat process

8

7<--start here

6

5 •

4

3 •

2

1__2__3__•__4__5__6__7__8

2

3 •

4

5 •

6

7

8

hopefully this helps since this is what it should look like sorry its kinda hard making a graph out of emoticons

y = -2 x2 + 8x - 5
Find the vertex(minimum or maximum) ,the equation of the axis of symmetry,the y-intercept,the domain and range,and then graph the function by making a table .Label the graph with all the information you were asked to find.

Answers

Answer:

Step by Step Solution:

More Icon

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(-2*x^2+8*x-5)=0  

STEP

1

:

Equation at the end of step 1

 y -  (((0 -  2x2) +  8x) -  5)  = 0  

STEP

2

:

Equation at the end of step 2

 y + 2x2 - 8x + 5  = 0  

STEP

3

:

Solving a Single Variable Equation

3.1     Solve   y+2x2-8x+5  = 0

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

We shall not handle this type of equations at this time.

Step-by-step explanation:

i will give u brainliest!

Answers

Answer:

66.33 more grams

Step-by-step explanation:

bc 85.73-19.40=66.33

btw if you put the 0 at the end of the number "19.4" it doesn't change anything.

Hope this Helps

<3

Answer:

66.33 more salt

Step-by-step explanation:

I not so sure it is this but  i think you minus 85.73 by 19.4 and there you get your answer it it isnt the answer im soo sorry

A sealed rectangular container 4 cm by 8 cm by 16 cm is sitting on its smallest face. In this position the water level is 4 cm from the top. How many centimeters from the bottom will the water level reach if the container is turned and placed on its largest face?

Answers

Answer:

height of water in the container is 3 cm.

Step-by-step explanation:

Given;

A sealed rectangular container, measuring 4 cm by 8 cm by 16 cm

the height of the container is 16 cm, when filled with water at 4 cm level from the top, thus, the height of water in the container is (16 cm - 4cm) = 12cm

Volume of water in the container when it is sitting on its smallest face = 4 cm x 8 cm x 12 cm = 384 cm³

Volume of water in the container when it is sitting on its largest face = 8 cm x 16 cm x h

where;

h is height of water in the container

384 = 8 x 16 x h

384 = 128h

h = 384 / 128

h = 3 cm

Therefore,  height of water in the container is 3 cm.

Find the value of x that will so that the lines will be parallel.
(6x + 12)
(2x)

Answers

Answer:

x= 21

Step-by-step explanation:

6x +12 + 2x = 180

8x= 168

x= 21

Find the circumference of a circle that has a radius of 5 inches. Use 3.14 as an
approximation. PLEASE ANSWER ASAP

Answers

Answer:

The answer is 31.42

Step-by-step explanation:

3.14×5=15.7

15.7×2=31.4

Answer:

31.4 inches

Step-by-step explanation:

the circumference of a circle= 2πr

2(3.14)(5)=31.4 inches

Chandler is on a hike in the woods. He has an altimeter with him, and Chandler uses it to measure his height above sea level at various points in his hike. He starts out at 120.4 meters above sea level, then hikes up an additional 850.0 meters to the crest of a hill. Chandler takes a break, then hikes down into a valley that is 430.7 meters below the crest. How far above sea level, in meters, is Chandler when he is in the valley?

Answers

Answer:

539.7 meters above sea level.

Step-by-step explanation:

Okay in order to solve this problem we can take it one step at a time. First, he starts at an altitude of 120.4 meters above sea level.

Then he hikes up an additional (meaning we add) 850.0 meters.

120.4 + 850.0 = 970.4

Next, Chandler hikes down (meaning we subtract) 430.7 meters.

970.4 - 430.7 = 539.7

Therefore, we can see that when Chandler is in the valley he is at an altitude of 539.7 meters above sea level.

Answer:

539.7 meters above sea level.

Step-by-step explanation:

, he starts at an altitude of 120.4 meters above sea level.

he hikes up an additional ( add) 850.0 meters.

120.4 + 850.0 = 970.4

Chandler hikes down ( subtract) 430.7 meters.

970.4 - 430.7 = 539.7

we can see that when Chandler is in the valley he is at an altitude of 539.7 meters above sea level.

Step-by-step explanation:

1) Jenna deposited a $665.78 paycheck, a $100 birthday check, and $430 cash into her checking account.
Her original account balance was $288.90. Assuming the checks clear, how much was in her account after the
deposit was made?

Answers

Answer:

1484.68

Step-by-step explanation:

Answer:

75.11 + 29.64 = 104.75 - 180.47 = 75.72

Step-by-step explanation:

hope this helps please mark brainliest


Sally ordered her groceries online and she accidentally ordered 120 pounds of flour! Sally only uses 4 pounds of flour every month. What is the rate of growth for this
situation, including the units?

Answers

Answer

30 months if she uses 4 pounds a month for 120 pounds

The rate of growth for this situation is 30 months.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Sally ordered her groceries online and she accidentally ordered 120 pounds of flour.

Sally only uses 4 pounds of flour every month.

∴ The rate of growth for Sally is (120/4) = 30 months.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2

The cost of 3 scarves in $24.75. What is the unit price?

Answers

$8.25 for 1 scarf

All you have to do is divide the number($24.75) by the amount of scarves(3)

So divide 24.75 divide by 3 is 8.25

Please mark branliest if this helped

Answer:

yea bro 8.25

Step-by-step explanation:

hes right. and branliest

. Darcy’s house is 6 times as far from
school as her friend’s house. If her friend’s
house is 3
4 mile from the school, how many
miles from school is Darcy’s house?

Answers

Answer:

Her house is 258 miles away if her friends house is 34 miles from school. If her friends house is 3 miles away  then Darcy's is 18 miles away. If her friends house is 4 miles away from school then Darcy's is 24 miles away. I wasn't sure what you meant by "3

4 mile"

18 and twice y is less than or equal to the sum of y and 14

Answers

Answer:

18+2y< or equal to y+14

Step-by-step explanation:

I hope this helps

Answer:

y=-4

Step-by-step explanation:

18+2y ≤ y+14

If 18+2y = y+14

Then y = -4

Need help ASAP, Tysm i really appreciate it

Answers

It’s the last one -5n+16

Answer:

-5n + 16

Step-by-step explanation:

Distribute the 7 to the equation inside the parenthesis.

7(n + 1) - 12n + 9

7n + 7 - 12n + 9

Bring the -12n towards the 7n.

7n - 12n + 7 + 9

Add or subtract like terms.

7n - 12n + 7 + 9

  -5n     +   16  

Answer:

-5n + 16

Please help. The picture is below.

Answers

The correct answer is B.

The answer to that is C.

Is the following statement a biconditional?
If Maura is going to the library, then she is bringing her favorite binder.
yes
no

Answers

Answer: B) No, it is not a biconditional

This is a regular conditional expression because it is in the form "If P, then Q"

P = Maura is going to the library

Q = she is bringing her favorite binder

A biconditional is of the form "P if and only if Q"

The "if and only if" is the key phrase needed. It allows us to swap the positions of P and Q to say "Q if and only if P".

Find what percent 10 is of 50.

Answers

Answer:

[tex]20\%[/tex]

Step-by-step explanation:

[tex](10 /50) \times 100\%[/tex]

[tex] = 0.2 \times 100\%[/tex]

[tex] = 20\%[/tex]

The answer will be 20%
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