16-32)
What is the equation of the line that is perpendicular to
the given line and passes through the point (3, 0)?
O 3x + 5y = -9
O 3x + 5y = 9
O 5x - 3y = -15
O 5x - 3y = 15

16-32)What Is The Equation Of The Line That Is Perpendicular Tothe Given Line And Passes Through The

Answers

Answer 1

Answer:

the fourth option : 5x - 3y = 15

Step-by-step explanation:

the slope of the original line is given by the coordinate differences between the 2 points on the line.

remember, the slope is the factor of x in the line equation and is the ratio y/x indicating how many units y is changing, when x changes a certain number of units.

so, to go from (-3. 2) to (2, -1) x changes 5 units and y -3 units.

therefore, the slope is -3/5.

the slope of a perpendicular line simply switched x and y. and the sign of the slope.

therefore the slope of the perpendicular line is 5/3.

and the line equation is

y = (5/3)x + c

to get c we need the point on the line (3, 0).

0 = (5/3)×3 + c = 5 + c

c = -5

y = (5/3)x - 5

3y = 5x - 15

3y - 5x = -15 or (after multiplying both sides by -1)

5x - 3y = 15


Related Questions

PLEASE ANSWER THIS! I WILL GIVE AMAZING RATING IF FAST

Answers

Answer:

[tex]\boxed{\sf a) \ 120 \ km^2}[/tex]

Step-by-step explanation:

The surface area is the total area of the faces added together.

Area of 2 triangles + Area of 3 rectangles

The two cross-sections are the triangles.

Area of triangle = base × height × 1/2

Area of a rectangle = length × width.

4 × 3 × 1/2 + 4 × 3 × 1/2 + 9 × 3 + 9 × 4 + 9 × 5

6 + 6 + 27 + 36 + 45

= 120

A study table of length 2 m and breath 1.25 m in decorted with square design of size 10x 10 find the number of such designs??? ​

Answers

Answer:

250

Step-by-step explanation:

Assuming that the shape of the table be rectangular in nature.

Area of the study table = Length * Breadth

Area of the study table = 2m * 1.25m

Area of the study table = 200cm * 125cm (since 100cm = 1m)

Area of the study table = 25000cm²

If the study table is decorated with square design of size 10cm x 10cm, the area of one square design is 100 cm².

The number of such square designs = Area of the study table/area of one square design

The number of such square designs = 25000cm²/100cm²

The number of such square designs = 250

Hence the number of such design is 250

HELLP BRAINLIEST!!! Could someone clarify something for me?? What is the expression that represents the area of the rectangle? Do i solve this or do i just find the expression? Also could you help me solve the problem below?

Answers

Answer:

See below.

Step-by-step explanation:

The question doesn't ask you to find the area, it just ask for the expression that represents the area.

The area of rectangle is A=bh, where b and h are each of the side lengths.

Since we know the sides are (2x+7) and (5x+9), this means that the expression for the area of the rectangle is:

[tex](2x+7)(5x+9)[/tex]

To find the degree and classification, expand the factors:

[tex]=(2x+7)(5x+9)\\=(10x^2+18x+35x+63)\\=10x^2+53x+63[/tex]

Thus, this is a second degree quadratic expression

And from Part A, when we multiplied (2x+7)(5x+9), we got another polynomial (10x^2+52x+63). Thus, this rerepresents the closure property of polynomials, where multiplying a polynomial by another gets another polynomial.

.

Answer:

see below

Step-by-step explanation:

Part A

(2x+7) ( 5x+9)

Foil

first 2x*5x = 10x^2

outer: 2x*9 = 18x

inner: 7*5x= 35x

last: 7*9 = 63

Add together

10x^2 +18x+35x+63

10x^2+53x+63

Part B

This is a second degree polynomial called a quadratic

Part C

When we multiply two polynomials together, we get another polynomial.  This is the closure property for multiplication of polynomials

After 24 pencil had sharpened, the pencil sharpener receptacle is full. If receptacle is emptied in average of twice a day, how many times does someone in the class of 20 sharpens a pencil in five day ?

Answers

Answer:

12 Pencils Sharpened

Step-by-step explanation:

Since the sharpener receptacle is emptied out 2 times every day.

Do 24*2 to get 48 pencils sharpened each day.

Now do 48/20 to get how many pencils a single person sharpens each day. Resulting in 2.4 pencils each day for 1 person.

Multiple 2.4 by 5 (Amount of days) to get 12 pencils in 5 days.

Represent 1/3 and 5/2 on the same number line. Please Draw it

Answers

Answer:

[tex]\Huge{\fbox{\red{Attachment}}}[/tex]

#Be Brainly

Sagan scored 1200 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 980 and standard deviation 100. Andrea scored 27 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 20 and standard deviation 5. Who performed better on the standardized exams and why? Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations above the mean and Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean. Sagan scored higher than Andrea. Sagan's score was a 1200, which is greater than Andrea's score of 27. Andrea scored higher than Sagan. Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean, but closer to the mean than Sagan's standardized score of 2.2 standard deviations above the mean. Sagan scored higher than Andrea. Sagan's score was 220 points above the mean of 980, and Andrea's was 7 points above the mean of 20. Andrea scored higher than Sagan. Andrea is only 9 points from the top score of 36 on the ACT, and Sagan is 400 points from the top score of 1600 on the SAT.

Answers

Answer:

A

Step-by-step explanation:

Option A is correct. Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations.

Answer: Correct

Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations above the mean and Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean.

Step-by-step explanation: No clue:)

Solve the equation for x

Answers

Answer:

the answer is 5

Step-by-step explanation:

2x/5 - 9 = -7

2x/5      = -7 + 9

2x/5      = 2

2x         = 2 * 5

2x         = 10

x            = 10/2

x            = 5

Answer:

x = 5

Step-by-step explanation:

2

--- x - 9 = -7              add 9 both sides

 5

2

--- x - 9 + 9 = -7 + 9      

 5

2

--- x = 2             multiply both sides by 5

 5

    2

5 * --- x = 2 * 5

     5

2x = 10

x = 10 / 2

x = 5

I NEED HELP PLEASE FIRST PERSON TO GET ANSWER RIGHT GETS 5 STARS !

Answers

Answer:9/5

Step-by-step explanation:

Consider the graphed function. 100POINTS!!!!


What are the domain and the range of this function?

Answers

Answer:

Domain -5 ≤x<1

Range -4 ≤y<7

Step-by-step explanation:

The domain is the values that x takes

X goes from -5 included to 1 not included

-5 ≤x<1

The range is the values that y takes

y goes from -4 included to 7  not included

-4 ≤y<7

Answer:

Domain -5 ≤x<1

Range -4 ≤y<7

Please mark me as brainliest :)

Step-by-step explanation:

Simplify the following expression.

Answers

Answer:

B. 51

Step-by-step explanation:

first do inside the parenthesis

83 - 4 * (6-4)^3 = 83 - 4 * (2)^3

now multiply 4 and the third power of 2  (the third power of 2 is 2x2x2=8)

83 - 4 * (2)^3 = 83 - 32 subtract  and the answer is 51

Answer:

[tex]83 - 4 \times {(6 - 4)}^{3} \\ = 83 - 4 \times {(2)}^{3} \\ = 83 - 4 \times 8 \\ = 83 - 32 \\ = 51 \\ thank \: you[/tex]

If l || m, classify the marked angle pair and give their relationship, then solve for x.

Answers

Answer:

14. x=16, 15. x=9

Step-by-step explanation:

14.

4x+4=7x-44 by alternate exterior angles

3x=48

x=16

15.

15x-26=12x+1 by alternate exterior angles

3x=27

x=9

A purchase costs $25.79 plus a tax of $1.29. Find the sales tax rate.

Answers

Answer:

The sales tax rate is 5%.

Step-by-step explanation:

To determine the sales tax rate if you already know the amount of tax being added to the purchase price, divide the amount of tax by the purchase price. In this example, divide $1.29 (amount of tax being added) by $25.79 (purchase price). When you do that, you will see that the answer is 0.0500, or 5%.

Use the provided graph to write the vertex form equation of the parabola.

Answers

Answer:

(x-6)^2+y=3

Step-by-step explanation:

The vortex of the parabola is (6,3). So the vertex equation is (x-6)^2+y=3

Please could I have some help? Seven squared equals seven times .........

Answers

Answer:

[tex]\large \boxed{\mathrm{seven }}[/tex]

Step-by-step explanation:

[tex]7^2[/tex]

A number squared also means that the number is multiplied by itself twice.

[tex]7^2 =7 \times 7[/tex]

We know that seven square is equal to 7*7
So in the question they are asking 7 square equals to 7 times
Answer is 7
7 square=7 times 7

A 2-gallon bottle of fabric softener costs $30.24. What is the price per pint?

Answers

Answer:

$1.89

Step-by-step explanation:

1 quart = 2 pints

1 gallon = 4 quarts

1 gallon = 8 pints

2 gallons = 16 pints

Divide the cost of the fabric softener by 16 to find the price per pint.

$30.24/16 = $1.89

The fabric softener costs $1.89 per pint.

Answer:

$1.89

Step-by-step explanation:

one gallon= 8 pints

two gallons= 16 pints

Therefore, we divide 16 from $30.24

30.24/16= $1.89

Hopefully this answer helps!

Lennox owns a big apple orchard. She ships her apples to various markets using a fleet of trucks. Every week, each truck goes on 333 trips, and for each trip Lennox gets 300300300 dollars. On a single trip, a truck delivers 505050 packs, and each pack contains 121212 kilograms of apples. Overall, Lennox sells 450045004500 dollars worth of apples in a week. How much does Lennox get for a single kilogram of apples? Dollars per kilogram

Answers

Using proportions, it is found that Lennox gets 2.5 dollars per kilogram.

During each week:

The truck goes on 3 trips.In each trip, 50 packs are delivered.Each pack contains 12 kilograms of apples.

Hence, the amount of kilograms delivered each week are:

[tex]A = 3(50)(12) = 1800[/tex]

He sells 4500 dollars each week(1800 kilograms), hence, the amount of dollars per kg is:

[tex]D = \frac{4500}{1800} = 2.5[/tex]

Lennox gets 2.5 dollars per kilogram.

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

Answer:0.50

Step-by-step explanation:

4' 1" − 1' 10" = Subtract measurement with Same Difference Theorem

Answers

Answer:

2' 3"

Step-by-step explanation:

Here 4' 1" − 1' 10" is certainly possible, but to carry out this operation we must borrow 1', or 12", from 4' 1":

4' 1" becomes 3' 13", and so the original problem becomes

3' 13" - 1' 10"

which in turn becomes 2' 3"

the smallest square number which can be divisible by 11 and 5​

Answers

Answer:

3025

Step-by-step explanation:

let's look at it in this concept.

For a number to be divisible by 11 and 5. it must be a multiple of the LCM of 11 and 5.

LCM of 11 and 5=55

therefore the number is 55x, where x is a positive integer.

it is a said that the number is a perfect square

therefore the square root of 55x must be an integer.

[tex] \sqrt{55x} = \sqrt{5 \times 11 \times x} [/tex]

the smallest value of x to make 55x a perfect square is....

[tex]x = 11 \times 5 = 55[/tex]

Therefore the number is.... .

[tex]55x = 55(55) = 3025[/tex]

sweet right

BRAINLIEST PLS....

Find the domain and range of this function.

Answers

Answer:

domain- (0, infinity) range- (1, infinity)

Step-by-step explanation:

calculate using the distributive property

7×19​

Answers

Answer:

133

Step-by-step explanation:

7 * 19

Rewrite 19 as 20 -1

7 * (20-1)

Distribute

7*20 - 7*1

140 - 7

133

How would I simplify 14.8+6.25+0.97

Answers

Answer:

22.02

Step-by-step explanation:

14.8+6.25+0.97 is 22.02

don't know what you mean by simplify

What letter does every odd number have in it?

Answers

Answer:

An E

Step-by-step explanation:

Answer:

e comes in every odd number

i.e. one,three,five,seven,nine,eleven......

Step-by-step explanation:

Find X round to the nearest tenth.

Answers

Answer:

x= 31.8

Step-by-step explanation:

22/sin(75) = 12/sin(x)

or, 22/(12×sin(75)) = 1/sin(x)

or, sin(x) = 12×sin(75)/22

or, x = arcsin(12×sin(75)/22)

or, x = 31.8 (rounded to the nearest tenth)

In 5 hours a small plane can travel downwind for 4000 kilometers or upward 3000 kilometers. Find the speed of this plane with no wind and the speed of the wind current.

Write as an equation

Answers

Answer:

discuss this question is about packhouse a small plant can travel 400 kilometre aur 2000 kilometre find the speed with a plan with no wind and a speed on the answer you will be given to you divide 5 400 the four hundred and 51 you divide the answer to get dawat 310 you will find the extra answer

slopes of the line parallel and perpendicular to y=32x-1

Answers

Answer:

see below

Step-by-step explanation:

This is in slope intercept form

y = mx+ b  where m is the slope and b is the y intercept

32 is the slope

Parallel lines have the same slope so 32 would be the slope of  the parallel line

Perpendicular lines have slopes that multiply to -1

m*32 = -1

m = -1/32

The slope of the perpendicular line is -1/32

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP-BY-STEP EXPLANATION!!

Answers

Answer: c

Step-by-step explanation:

The correct answer is option C i.e. all of the options

Question : Why did I choose the answer as option C

Reason : To assure it we'll match all the options with the figure

First of all in the given figure all the sides and angles are equal hence, we can refer it as regular

Secondly, It is convex because all the parts are pointing outwards and inner ones are not more than 180°

Finally, As it has 8 sides it is an octagon

Now, we can see all the three options are matching leaving C which states all of these options, hence C is correct

Extras :

1) What is Octagon ?

ans :- Octagon is an 8 sided polygon

2) What is a regular polygon ?

ans :- Any polygon which has equal angles and sides is known as a regular polygon.

3) What is convex ?

ans :- A convex is a shape where all the parts points outwards and interior angles are not more than 180°

What is the answer ? Help pls

Answers

Answer:

B. 4

Step-by-step explanation:

Given,

[tex] {x}^{8} = {( {2}^{2} )}^{4} [/tex]

Since,

[tex] { ({a}^{x} )}^{y} = {a}^{xy} [/tex]

Then,

[tex] = > {x}^{8} = {2}^{2 \times 4} [/tex]

[tex] = > {x}^{8} = {2}^{8} [/tex]

(Since the exponents are same so the bases will be also same)

Therefore,

=> x = 2

As per condition,

[tex] {x}^{2} [/tex]

(Putting value of x = 2)

[tex] ={2}^{2} [/tex]

= 4 (Ans)

Match the part of the circle to its correct name.

Answers

Answer:

a. major arc

b. minor arc

c. semi circle

d. central angle

Find the area of the shaded regions.

Answers

Answer:

A = 27π cm² or about 84.8 cm²

Step-by-step explanation:

Area of a full circle is πR²

As there are four right angles making up a 360° turn, and the missing piece is one of those four, there are ¾ of a circle remaing

A = ¾πR² = ¾π6² = 27π cm² or about 84.8 cm²

the length of a basketball pitch can be divided into 12 parts which 25 centimetres on how much parts it's 20 centimetres long can be obtained from the pitch​

Answers

Answer:

the number of parts is going to be

= 15 parts

Step-by-step explanation:

A basketball pitch can be divided into twelve(12) parts , each part of equal length of twenty five (25) centimeters.

The initial and total length of the basketball pitch = 12*25

The initial and total length of the basketball pitch = 12*25

The initial and total length of the basketball pitch = 300 cm

So if it's now divided into parts of each 20 cm ,

the number of parts is going to be

= 300/20

the number of parts is going to be

= 15 parts

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