Write the equation of the line that is perpendicular
to the y-axis and passes through the point (3, 12).

Answers

Answer 1

Answer:

[tex]y=12[/tex]

Step-by-step explanation:

The [tex]y[/tex]-axis has equation [tex]x=0[/tex], so the equation of a line perpendicular to the [tex]y[/tex]-axis would be of the form [tex]y=c[/tex].

The equation of this line given the point [tex](3,12)[/tex] is [tex]y=12[/tex].


Related Questions

3f + -4 = 0 solve for f

Answers

f=1.33 I believe i’m right however you need to use parentheses around the -4 like this 3f+(-4)=0

Answer:

f = 4/3

f = 1.3

f = 1 1/3

Step-by-step explanation:

Move all terms that don't contain f to the right side and solve.

A man is paid N12,000 for 4 days. Find his pay for: (i) 2 days​

Answers

Answer:

N6000

Step-by-step explanation:

4 days 12000

2 days. ?

12000*(2/4) = 6000

The letter A B C D
represents the location of –1.5 on the number line.

Answers

Answer:

B

Step-by-step explanation:

find the percentage increase if a number 3/8 increase to 3/4

Answers

Answer:

37,

Step-by-step explanation:

Given the coordinate, perform the following transformation and give the new coordinates.
12. Reflect (2, 3) over the x axis: (
13. Reflect (7, -2) over the y axis: (
14. Rotate (4, 5) 90° about the origin: (
15. Rotate (-3, -2) 270° about the origin:
16. Reflect (17, -23) over the line y=x.

Answers

12)  (2, 3) over the x - axis becomes, (2, -3).

13)  (7, -2) over the y - axis becomes, (-7, -2).

14) (4, 5) 90° about the origin becomes, (-5, 4).

15) (-3, -2) 270° about the origin becomes, (-2, 3).

16) (17, -23) over the line y = x becomes, (-23, 17).

What is transformation of points?

The reflection is the type of alteration that takes place when each point in the shape is reflected over a line. The picture is on the opposite side of the line from the pre-image when the points are reflected across a line, but it is still at the same distance from the line as the pre-image. The reflection of each point (p, q) onto an image point (q, p).

12) Reflect (2, 3) over the x axis:

Since, the x-coordinate of a point that is reflected across the x-axis stays constant, but the y-coordinate is assumed to be the additive inverse.

The x-axis' reflection of point (x, y) is (x, -y).

So, (2, 3) becomes, (2, -3).

13) Reflect (7, -2) over the y axis:

Since, the y-coordinate of a point that is reflected across the y-axis stays constant, but the x-coordinate is assumed to be the additive inverse.

So, (7, -2) becomes, (-7, -2).

14) Rotate (4, 5) 90° about the origin:

(x, y) → (-y, x) is the formula for a 90° rotation about the origin.

So, (4, 5) becomes, (-5, 4).

15) Rotate (-3, -2) 270° about the origin:

(x, y) → (y, -x) is the formula for a 270° rotation of the origin.

So, (-3, -2) becomes, (-2, 3).

16) Reflect (17, -23) over the line y=x.

The angle at which the point (x, y) is reflected across the line y = x is (y, x).

So, (17, -23) becomes, (-23, 17).

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Susie is visiting the U.S. from Mexico. One day she stopped by a market and found a stall selling tomatoes for 0.83 dollars per pound. If 1 peso was worth 0.053 dollars that day, how much did the tomatoes cost in pesos per kilogram?
First fill in the two blanks on the left side of the equation using two of the ratios. Then write your answer rounded to the nearest hundredth on the right side of the equation.

Answers

The value of given ratio is 34.45 peso/kg as the given ratio are : 1 peso/0.053 dollar, 0.053 dollar/1 peso, 1 kg/2.2 lbs, 2.2 lbs/1 kg, 0.83 dollar/1lbs.

What is ratio?

An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls). The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two things.

Given ratio,

1 peso/0.053 dollar

0.053 dollar/1 peso

1 kg/2.2 lbs

2.2 lbs/1 kg

0.83 dollar/1lbs * 2.2 lbs/1 kg* 1 peso/ 0.053 dollar = 34.45 peso/kg

The value of the given ratio is 34.45 pesos per kilogram because the ratios are 1 peso/0.053 dollar, 0.053 dollar/1 peso, 1 kg/2.2 lbs, 2.2 lbs/1 kg, 0.83 dollar/1lbs.

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Finding a missing side length given two similar triangles

Answers

It’s 5 cause the smaller triangle times 5 equal the big one

16/5 x 25/8 multiply each of the following fractions

Answers

See attachment below for work! In unsimplified form, 400/40

What is [tex]\frac{1000}{\frac{4}{3}\pi }[/tex]

Answers

The result of the expression as given in the task content is; 750/π.

What is the result of the quotient?

It follows from the task content that the result of the division operation as given in the task content is to be determined.

Given the expression; 1000 ÷ (4/3)π

The expression can therefore be rewritten as follows;

1000 × (3/4) π

Hence, we have;

3000/4π

By further simplifying the expression; we have;

750/π

Hence, the result of the division as given in the task content is; 750/π.

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Put these numbers in order from smallest to largest.
Smallest
-75
-28
-3
13
103
341
619
Largest

Answers

Answer:

Step-by-step explanation:

Here by using the ascending property:

-75, -28, -3, 13, 103, 341, 619

I have no equal sides what am i ​

Answers

Answer:

Scalene

Step-by-step explanation:

a scalene triangle has three sides different angles none of its sides are equal in length

Answer:

A scalene triangle or quadrilateral has no equal sides.

Math Q 3
A construction crew built 8 1/2 miles of road in 2 1/4 days.

Answers

Step-by-step explanation:

1/2 miles in 1/4 day (Given)

Find the distance of the road built in 1 day:

1/4 day = 1/2 miles

4/4 days 1/2 x 4 = 2 miles =

Answer: The rate is 2 miles per day.

how to solve this proportion​

Answers

180multilpy120upon 52
Your answer will come

Hope it helps

Pls mark me as brain liast

Answer:

Hope the picture will help you

What is the answer?? 3(b-5)<-2b​

Answers

Answer:

b < 3

Step-by-step explanation:

3 ( b - 5 ) < - 2b

3 ( b ) - 3 ( 5 ) < - 2b

3b - 15 < - 2b

3b + 2b < 15

5b < 15

b < 15/5

b < 3

First add the 5 over.
3(b-5)<-2b
3b<-2b+5
Add the 2b over.
5b<5
Divide by 5.
b<1
Check by plugging in.
3(1-5)<-2(1)
3(-4)<-2
-12<-2
1 is a possibly solution to the inequality.

kieran tried to shade all the multiples of 3 on the hundred chart, but he made a mistake. what mistake did kieran make?

Answers

Answer:

Kieran shaded the multiples of 9 instead of the multiples of 3

Step-by-step explanation:

What the other person said is right!

4. Which statement about the lines below is true?
7x=-21 and 11y = 55
Select all that apply.
A. Line 11y = 55 is vertical.
B. Line 7x=-21 is vertical.
C. For both lines, all points on the line have an x- and a y-coordinate.
D. For either line, one of the coordinates of all of the points is always the same value.

Answers

The statements about lines that is true are

A. Line 11y = 55 is vertical.

C. For both lines, all points on the line have an x and a y-coordinate.

D. For either line, one of the coordinates of all of the points is always the same value.

Lines given to us are

1. 7x = -21

x = -3

2. 11y = 55

y = 5

Now let us check the statements.

A. Line 11y = 55 is vertical.

Yes, it is absolutely true as y = 5 will be a straight vertical line from origin of the graph (0 , 0) to (0 , 5)

B. Line 7x= -21 is vertical.

No, this statement is not true as this will be a horizontal line from (0 , 0) to (-3 , 0)

C. For both lines, all points on the line have an x- and a y-coordinate.

Yes, for both the lines there will be both x and y coordinate as every point on graph has x and y coordinates to represent them.

D. For either line, one of the coordinates of all of the points is always the same value.

Yes, this statement is true as for first line x coordinate is a constant value of 0 and for second line y is a constant value of 0.

Therefore the statements about lines that is true are A, C and D.

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Help please willing to give brainliest badge an points

Answers

Slope is 1/3
Intercept is 3
So the answer is Y=1/3x + 3

If a=-1+2i and b=5, then find the value of the a^2b in fully simplified form.

Answers

The value of the algebraic expression is:

a^2*b = -15 + 20i

How to find the value of the expression?

Here we have the following expression:

a^2*b

And we want to use the values:

a = -1 + 2i

b = 5

Replacing these values in the expression we will get:

(-1 + 2i)^2*5

Expanding the  first part we get:

(-1 + 2i)*(-1 + 2i) = (-1)*(-1) + (-1)*(2i) + (2i)*(-1) + (2i)*(2i)

                        = 1 - 2i - 2i - 4

                        = -3 + 4i

Replacing that in the expression we get:

(-1 + 2i)^2*5 = (-3 + 4i)*5 = -3*5 + 4i*5 = -15 + 20i

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This is a statistics/applications question

Answers

Using percentages, the answer to all the subparts are shown:

(A) % who scored between 46 and 106: 67% approx(B) % who scored less than 46: 17% approx(C) % who scored between 61 and 91: 33% approx(D) % who scored between 76 and 121: 50%

What are percentages?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage. The percentage calculation formula is (value/total value)100%.

So, calculate the percentages as follows:

(A) % who scored between 46 and 106:

Total marks: 121 - 30 = 90Students between 46 and 106: 106 - 46 = 60

Then,

60/90 × 1002/3 × 10066.66

Rounding off: 67% approx

(B) % who scored less than 46:

Total marks: 121 - 30 = 90Students who scored less than 46: 46 - 31 = 15

Then,

15/90 × 10016.66

Rounding off: 17% approx

(C) % who scored between 61 and 91:

Total marks: 121 - 30 = 90Students between 61 and 91: 91 - 61 = 30

Then,

30/90 × 1001/3 × 10066.6633.33

Rounding off: 33% approx

(D) % who scored between 76 and 121:

Total marks: 121 - 30 = 90Students between 76 and 121: 121 - 76 = 45

Then,

45/90 × 10050%


Therefore, using percentages, the answer to all the subparts are shown:

(A) % who scored between 46 and 106: 67% approx(B) % who scored less than 46: 17% approx(C) % who scored between 61 and 91: 33% approx(D) % who scored between 76 and 121: 50%

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Select the expression that is equivalent to (x - 1)².
OA. 2²-2x+1
OB. x² - 2x+2
OC. x²-x+1
OD. x²-x+ 2
SUBMIT

Answers

Answer:

hi, I think the answer is x^2-2x+1 I don't see that option there but I'm guessing that was suppose to be option OA.

explanation:

(x-1)^2 is basically

(x-1)×(x-1)

rest of the explanation is in the photo

hope this helps

Replace the _ with the symbol that makes a true sentence 2/15_0.83

Answers

Answer:

See below

Step-by-step explanation:

2 /1 5 = .1333

so   2/15 < .83

Helppp meee !!
It’s due today !!

Answers

Answer:

-8

Step-by-step explanation:

i think

Answer:

Your answer is -8

Step-by-step explanation:

Alan has 229 songs on a playlist. He's categorized them in the following manner: 11 rock, 21 Latin American, 46 gospel, 30 country, 39 rap, 25 classical, and 57 pop. If Alan begins listening to his playlist on shuffle, what is the probability that the first song played is a rock song?

Answers

Answer:  11/229

=================================================

Work Shown:

11 rock songs

229 total

11/229 is the probability of randomly selecting a rock song. The fraction doesn't reduce since 11 and 229 have no factors in common (other than 1).

If you wanted to convert to decimal form, then 11/229 = 0.04803 approximately. This converts to about 4.803%

Solve 7x+23x-5=6(5x+8). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. x=
OB. The equation has infinitely many solutions.
OC. The equation has no solution.

Answers

C. The equation has no solution

this end up being 0 = 53
Since 53 does not equal 0, it is incorrect and has no solution
C the equation has no solution

AB=18cm

BC=18cm

AC=16cm

What is the corresponding angles and sides?

Answers

The angle measurements are 5.38°, 87.31° and 87.31°.

What is triangle?

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given are the sides of triangle as AB = 18cm, BC = 18cm, AC = 16cm.

The given triangle is a isosceles triangle with two sides equivalent. Angles opposite to these sides will be equal. So, we can write -

2∠x + ∠y = 180°

from the figure, it can be seen that angle B is 5.38 degrees.

2∠x + 5.38 = 180

2∠x = 174.62

∠x = 87.31°

Therefore, the angle measurements are 5.38°, 87.31° and 87.31°.

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Bookwork code: K45 not allowed
The number line below shows information about a variable, p.
Select all of the following values that p could take:
-4, 0, -6, 5, -1, -2.5
T
T
р
-5 -4 -3 -2 -1 0 1 2 3 4 5
✓ Scroll down

Answers

A number line is a simple graph with numerical increments spaced evenly. The numbers on the line determine how the number on the line can be answered. The number's application is determined by the question to which it corresponds, such as when plotting a point.

What is meant by number line?

A number line is a horizontal line with evenly spaced numerical increments. The numbers on the line will determine how to answer the number on the line. The number's use is determined by the question that goes with it, such as plotting a point.

The number line is a straight line with divisions at equal intervals, similar to a scale. You can choose any point as "0," and all positive numbers will be to the right of the "0," and all negative numbers will be to the left of the "0." Q.

Therefore,

The third number line correctly provides the solution to the statement -5 + (-4).Plot 1's solution is (-5) + (-2) because both arrows point 4 units to the left.Plot 2's solution is (5 + 2) because both arrows point 4 units to the right.Plot 3's solution is (5) + (2) because one arrow points 4 units to the left and the other points 4 units to the right.The plot 4 solution is (5 + 2) because one arrow points 4 units to the left and the other points 8 units to the right.As a result, the third number line is the one that shows the solution 5 + (-4).

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2. Find the missing digits of the following UPC code:
55X200100102

Answers

The missing digits of the following UPC code 55X200100102 is 3.

What is UPC code?

Add three to the total of the digits in the first, third, fifth, seventh, ninth, and eleventh positions. The total of the digits in the second, fourth, sixth, eighth, tenth, and twelveth positions should be added to this. The code is legitimate and the computer will accept it if the outcome is a multiple of 10. Add the values of the 1, 3, 5, 7, 9, and 11 odd digits together. Multiply that amount by 3. Add up the values of all the even digits (digits 2, 4, 6, 8 and 10). To the value from step 2, add this total. Take the figure in Step 4. Thus, 3 is the check digit.

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Can someone help me with this

Answers

Answer:

x=20

Step-by-step explanation:

It looks like the opposite end of the 70 is angle between I and D. So assuming that angle is also 70 I would subtract 90 and 70 which equals 20. X=20

The box plot shows the times for sprinters on a track team.

A horizontal number line starting at 40 with tick marks every one unit up to 59. The values of 41, 43, 49.5, 56, and 58 are all marked by the box plot. The graph is titled Sprinters' Run Times, and the line is labeled Time in Seconds.

Which of the following is the five-number summary for this data?

Answers

The five number summary from the given box plot is presented as follows:

Minimum value: 41.First quartile: 43.Median: 49.5.Third quartile: 56.Maximum value: 58.

What does a box-and-whisker plot shows?

A box and whisker plot shows five things of a distribution, listed as follows:

The minimum value of the data-set.The first quartile, which is the median of the bottom 50% of measures in the data-set, hence it is the value that 75% of the measures are greater than.The median, which is the middle-value of the data-set, meaning that 50% of the data-set is less than the median and 50% is greater.The thid quartile, which is the median of the upper 50% of the measures in the data-set, hence it is the value that 75% of the measures are lesser than.The maximum value of the data-set.

These values are the values marked from left to right on the box plot, from the minimum value to the maximum value, passing through the first quartile, the median and the third quartile, and form the five number summary.

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5x10^-10/3x10^-9

1x10^-9/3.5x10^-9

Answers

Answer:

1.667×10^-12.857×10^-1

Step-by-step explanation:

You want the result of a division operation performed on numbers written in scientific notation.

In each case, the result number will have a repeating decimal fraction. We show 4 significant figures in the answer. The number of significant figures you need to use will depend on what you're using the answer for. If you are required to match the precision of the numbers here, you will want to use 1 significant figure.

The rules of exponents apply, so the exponent of the result will be the difference of the exponents of numerator and denominator. As always, if the numerator mantissa is smaller than the denominator mantissa, the result will be a fraction, so adjustment of the exponent will be necessary.

5×10^-10/(3×10^-9)

  = (5/3)×10^(-10-(-9)) = 1.667×10^-1

1×10^-9/3.5×10^-9

  = (1/3.5)×10^(-9-(-9)) = 0.2857×10^0 = 2.857×10^-1

__

Additional comment

Any scientific or graphing calculator and any spreadsheet can accept input in scientific notation and format the output in the same way.

You need to be careful with the way you enter the multiplier. Most calculating platforms accept the E notation shown in the attachment. If you use multiplication (×10^-9, for example), then the denominator number will need to be enclosed in parentheses. The third line of the second attachment shows the result of not using parentheses: the multiplier intended for the denominator instead multiplies the result of the division. (This behavior is required by the Order of Operations.)

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