what is the equation for the line that is perpendicular to the x-axis and passes through the point (4, -7)?

Answers

Answer 1

Step-by-step explanation:

perpendicular means to cross at a right angle (90 degrees).

so, any line perpendicular to the x-axis is parallel to the y-axis.

and any line parallel to the y-axis has only a defining x value. all points on that line have the same x value (while any value for y from -infinity to +infinity is valid).

the y-axis itself is

x = 0

the specified point here has an x value of 4.

so, the line we are looking for is

x = 4

to point out : this is NOT a function, because for the same x value we get more than 1 valid y values.


Related Questions

how do you write y - 2 = -(x - 3) in slope-intercept form? A) y = x + 3 B) y = x - 1 C) y = -x + 5 D) y = -3x - 1

Answers

C) y= -x+5
explain:
y-2=-x+3
y= -x+3+2
so y= -x+5

8. Write the equation of the line in slope-intercept form that has:
points: (3, 5) and (-1,-3)

Answers

Answer:

Step-by-step explanation:

y = mx + b Calculate the slope, m, from the given point values, solve for b by using one of the point values, and check your solution using the other point values.

A line can be thought of as the ratio of the change between horizontal (x) and vertical (y) positions. Thus, for any two points defined by Cartesian (planar) coordinates such as those given in this problem, you simply set up the two changes (differences) and then make the ratio to obtain the slope, m.

Vertical difference “y”  = y 2 – y 1 = − 5 – 1 = − 6  

Horizontal difference “x” = x 2 – x 1 = − 2 – − 3 = 1

Ratio = “rise over run”, or vertical over horizontal = ( − 6 1 ) = − 6  for the slope, m.  

A line has the general form of y = mx + b, or vertical position is the product of the slope and horizontal position, x, plus the point where the line crosses (intercepts) the x-axis (the line where z is always zero.) So, once you have calculated the slope you can put any of the two points known into the equation, leaving us with only the intercept 'b' unknown.

1 = ( − 6 ) ⋅ ( − 3 ) + b ; 1 = 18 + b ; 1 – 18 = b ; − 17 = b

Thus the final equation is  y = − 6 ⋅ x − 17

We then check this by substituting the other known point into the equation:

− 5 = ( − 6 ) ⋅ ( − 2 ) − 17 ; − 5 = 12 − 17 ; 5 = − 5

If everything in a store is 20% off, and the discounted price of an item is $18.00, what is the regular price?

Answers

Answer:

If the REGULAR price of the t-shirt is $18, the SALE price with a 20% discount is $14.40. Hope this helps!

Step-by-step explanation:

Find the slope of the line that passes through each pair of points. Expressed as a fraction in simplest form. (8,2),(8,-1)

Answers

Answer:

x = 8

Step-by-step explanation:

The explanation are the pictures. I hope I gave you the correct answer.

What value of x satisfies the equation 5(x – 3) – 2(x + 1) = 4?

Answers

Answer:

x = 7

Step-by-step explanation:

To solve:

Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.

Next distribute -2 among everything in the second parentheses. You'll get

-2x - 2.

All together: 5x - 15 -2x - 2 = 4

Now combine like terms:

5x - 2x = 3x and -15 - 2 = - 17

All together: 3x - 17 = 4

Add 17 on both sides to get 21, and then divide both sides by 3. Answer is x = 7.

________________________________

Last, don't forget to check your work.

You can plug in 7 for x to get:

5(7 - 3) = 20

5 × 7 = 35

5 × -3 = -15

35 - 15 = 20

-2(7 + 1) = -16

-2 × 7 = -14

-2 × 1 = - 2

-14 -2 = -16

20 - 16 = 4

⬆⬆⬆Therefore this is correct.

Sorry this is a bit lengthy, but hope this helps :)

ALL FELLOW PEOPLE I NEED HELP ASAP ! WILL MARK BRAINLIEST!!EXTRA POINTS !!!!

Answers

Answer:

3) parallel

4) y = -1/2x +5

Step-by-step explanation:

3) Two equations are parallel if they have the same slope

The equations are written in y=mx+b (standard) form, where m is the slope. Both equations have a slope of 5/4

4) The two points that are plotted are (0,5) and (4,3).

We can find the slope by using the slope equation

(3) - (5) / (4) - (0) = -2/4 = -1/2

then we can plug it in both points to find b

-1/2(4) = -2

-2 + b = 3

b = 3

What is the P(Red Diamond Face Card) and the P (Black Face Card) ​

Answers

Answer:

9/1352.

Step-by-step explanation:

P(Red Diamond Face Card) = 3/52.

P (Black Face Card) = 6/52 = 3/26.

So the answer is 3/52 * 3/26

= 9/1352.

Newton’s Second Law of Motion states that the acceleration of an object is directly proportional to the force exerted on the object. If an object accelerates at a rate of 3 m/s2, it will exert a force of 15 N. How much force will the same object exert if it accelerates at a rate of 7 m/s2 ?

Answers

Answer:35N

Step-by-step explanation:

Cross multiply and divide to find the missing value

HELP PLSSS THIS IS HARD SOMEONEEE

Answers

Number 4 is the answer as you can see

guys pls help me!!!!!!

Answers

Answer:

maybe 34 ? or 180-34 =146

Step-by-step explanation:

Answer:

x=34

Step-by-step explanation:

The two angles are congruent so x would be the same.

Jesus Loves You!

Explain why the triangle are similar. Then find the distance represented by x

Answers

Answer:

I think its the rule RHS or SAS that indicates that x is 180ft (scale factor of 1.5)

Step-by-step explanation:

first do 135/90 to find the scale factor of 1.5

then to find x, multiply 120 by the scale factor.

find the missing values in the ratio table then write the equivalent ratios

PLS HURRY!!​

Answers

Answer:

1. 10

2. 4, and the bottom row is 21

3. divide the bottom by 4. you get 8

4. top row is 15 and bottom row is missing 6

PLEASE HELPPPPPPPPPPPP!

Answers

Answer:

10

Step-by-step explanation:

[tex]2^{2} +10^{2} =c^{2}[/tex]

4+100=[tex]c^{2}[/tex]

c=[tex]\sqrt{104}[/tex]

c=10.198

Round to nearest thousandth

c=10

Hope this helps :)

Comment if you need more help :) :)

10.3923
The way to solve is a 10^2+2^2=c^2
Then you get 108=c^2
You square root it because you’re trying to find one c, not multiple C’s
That gives you your C once your square it

please help me with this work

Answers

Answer:

Here is question number one's perimeter and area.

The points you are giving are really low so I will just do one

4-1/4 with no decimal point​

Answers

Answer:

4-25

Step-by-step explanation:

What can be described as “shooting stars” that streak across the sky in a brief flash of light?(1 point)

comets

meteors

meteoroids

meteorites

Answers

Answer:

the answers for the quick check:

Step-by-step explanation:

1. d. spiral

2. b stars

3. d. meteors

4. d. as it gets closer to the sun

“Shooting Stars” that streak across the sky in a brief flash of light is Option b) Meteors.

"Shooting stars" are captivating phenomena seen in the night sky. They are commonly mistaken for stars, but they are not stars at all.

Shooting stars, or meteors, are not celestial bodies themselves, but rather the luminous trails created when small space rocks, known as meteoroids, enter Earth's atmosphere at high speeds.

These meteoroids are remnants from comets or asteroids.

When a meteoroid collides with Earth's atmosphere, friction causes it to heat up rapidly.

This intense heat causes the meteoroid to vaporize in a brilliant flash of light, leaving behind a streak across the sky.

This streak is what we commonly refer to as a shooting star or meteor.

Comets, denoted by option (a), are icy bodies that originate from the outer regions of the solar system.

They can produce meteoroids, which in turn create meteors when they enter Earth's atmosphere. However, comets themselves are not what we see as shooting stars.

Meteoroids, as mentioned in option (c), are the actual rocky or metallic fragments that create meteors.

When a meteoroid survives its fiery passage through the atmosphere and lands on Earth's surface, it is referred to as a meteorite, as stated in option (d).

In summary, shooting stars, or meteors, are the dazzling result of meteoroids burning up as they speed through Earth's atmosphere. This captivating display is a reminder of the continuous cosmic activity surrounding our planet, turning the night sky into a canvas of transient and awe-inspiring light shows.

To know more about Meteors here

https://brainly.com/question/14452167

#SPJ3

NOTE: This not a Question of Mathematics, this is a Question from Physics

Complete Question

Choose the correct answer from the given options:

What can be described as “shooting stars” that streak across the sky in a brief flash of light?

a) Comets

b) Meteors

c) Meteoroids

d) Meteorites

whats the y intercept

Answers

Answer:(0,4)

Step-by-step explanation:

y intercept is (0,4)

the reason being the equation is y = 1/3x + 4.

plZ help...................

Answers

Answer:

B

Step-by-step explanation:

[tex]\frac{x}{5}[/tex] + 4 = 1 ( subtract 4 from both sides )

[tex]\frac{x}{5}[/tex] = - 3 ( multiply both sides by 5 to clear the fraction )

x = 5 × - 3 = - 15 → B

Helppppppp pleaseee tyy smmm

Answers

Answer: 56

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Evaluate a-b if a= -10 and b= -6

Answers

Answer:

-4

Step-by-step explanation:

if a=-10 and b=-6

a-b=-10- -6

=-10+6 which can be written as

=6-10

=-4

since -and-is+

The value of expression a-b if a= -10 and b= -6 is -4.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is a-b.

Here, a= -10 and b= -6

Substitute, a= -10 and b= -6 in the given expression, we get

a-b= -10-(-6)

= -10+6

= -4

Therefore, the value of expression a-b if a= -10 and b= -6 is -4.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ2

hi Help pls will mark as brainlist!!!!!!!!!​

Answers

Answer:

111

Step-by-step explanation:

the answer is c)111

hop it helps

What is the value of x

Answers

145 i hope this helped

Students in a world geography class want to determine the distances between cities in Europe. The map gives all distances in kilometers. The students want to determine the number of miles between towns so they can compare distances with a unit of measure with which they are already familiar. The graph below shows the relationship between a given number of kilometers and the corresponding number of miles.

Answers

Answer:

Step-by-step explanation:

i guess we will never know.

Solve. 3/4x + 6 = 33

explain the work please :,)

Answers

Answer:

x=36

Step-by-step explanation:

first take six away from both sides to get 3/4x=27

then divide 27 by the numerator 3 to get 9. Then multiply 9 by the denominator 4 to get 36. So 3/4 of 36=27+6=33

3/4x+6=33

We move all terms to the left:

3/4x+6-(33)=0

Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R

We add all the numbers together, and all the variables

3/4x-27=0

We multiply all the terms by the denominator

-27*4x+3=0

We multiply elements

-108x+3=0

We move all terms containing x to the left, all other terms to the right

-108x=-3

x=-3/-108  

x=1/36

I hope this helps :)

For what value of c is the function one-to-one?

StartSet (1, 2), (2, 3), (3, 5), (4, 7), (5, 11), (6, c) EndSet
2
5
11
13

Answers

Answer:

13

Step-by-step explanation:

Correct on edge

The function will be one-to-one only if c = 13.

When a function is one-to-one?

A function is one-to-one if and only if each value in the range appears only once.

So, the given set will represent a one-to-one function if c takes a value that is not repeated in any of the other coordinate pairs.

We have:

(1, 2), (2, 3), (3, 5), (4, 7), (5, 11), (6, c)

For the given options, the only element that not already appears in one of the pairs is c = 13, so that is the correct option.

If you want to learn more about functions, you can read:

https://brainly.com/question/4025726

abe purchased a candle at the candle store. The candle is 9 inches long and the packaging started the candle burns down at the rate of 1/2 an inch per hour.
If abe lit the candle and let it burn. How long would the candle be after 5 hours

Show how you figured it out

Answers

Answer:

6.5 Inches in 5 hours.

Step-by-step explanation:

1. 0.5 * 5 = 2.5

2. 9 - 2.5 = 6.5

Therefore after 5 hour's, the candle will be 6.5 inches that duration

(hope this helps!)

what is this problem please help70^1/3

Answers

Answer:

23.333....

Step-by-step explanation:

Find the slope on the graph shown

Answers

Answer:

4/3

Step-by-step explanation:

Answer:

The answer is 4/3.


Your last 4 test scores are 65, 70, 80 and
70. If you want to finish with a 74
average, what do you need to get on your
fifth test?

Answers

Answer:

Step-by-step explanation:

74*5 = 370

370 - 65 - 70 -70 -80 = 85

So. you need to get 85 on your fifth test.

Help pleaseeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

I have to say this problem is poorly worded.

the answer they're looking for is 8, I believe.

they defined t(x) twice!

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