Line fg goes through the points (4,9) and (1,3) which represents a line that is perpendicullar to fg and passes through the point (2,0)

Answers

Answer 1

Answer:c

Step-by-step explanation:

Answer 2

The equation of the perpendicular line is [tex]y = -\frac 12x + 1[/tex]

The points are given as:

[tex]F = (4,9)[/tex]

[tex]G = (1,3)[/tex]

Start by calculating the slope (m) of line FG as follows:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

Substitute values for x's and y's.

So, we have:

[tex]m = \frac{9 -3}{4 - 1}[/tex]

[tex]m = \frac{6}{3}[/tex]

[tex]m =2[/tex]

The equation of the line is said to be perpendicular to line FG.

So, the slope of the line is:

[tex]m_2 = -\frac 1m[/tex]

This is then calculated as:

[tex]m_2 = -\frac 12[/tex]

The line is said to pass through point (2,0).

So, the equation of the line is:

[tex]y = m_2(x - x_1) +y_1[/tex]

This gives

[tex]y = -\frac 12(x - 2) +0[/tex]

Expand

[tex]y = -\frac 12x + 1 +0[/tex]

[tex]y = -\frac 12x + 1[/tex]

Hence, the equation of the line is [tex]y = -\frac 12x + 1[/tex]

Read more about line equations at:

https://brainly.com/question/14323743


Related Questions

Find the slope of the line that connects the points (0,4) and (-4,1).

Answers

Answer:

3/4

Step-by-step explanation:

We can use the formula [ y2-y1/x2-x1 ] to solve.

1-4/-4-0

-3/-4

3/4

Best of Luck!

Answer now get ur moneyy

Answers

You would combine like term then you want to subtract and u will get the same answer as (24x + 14)°
(44x+24) is the answer

Please, I really need it

Answers

Answer:

2      -1          -2

Step-by-step explanation:

The answers would be...

1.) 2
2.) -1
3.) 0
4.) -1
5.) -2

help me... the angle pairs.. for example linear pair, vertical angles... that stuff.... I said that because last time I asked this I was getting answers not the angl pairs​

Answers

Answers:

Angle 1 and 3:  Vertical Angles

Angle 4 and 8: Corresponding Angles

Angles 4 and 6: Alternate Interior Angles

Angles 3 and 5: Alternate Interior Angles

Angles 7 and 8: Linear Pair

Angles 1 and 7: Alternate Exterior Angles

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

Explanation:

Vertical angles are formed when you cross two lines to form an X shape. The vertical angles are opposite one another in this configuration.

Corresponding angles are ones that show up in the same corner of each four-corner crossing. In the case of angles 4 and 8, both are in the southwest corner of each four-corner crossing.

Alternate interior angles are angles in between parallel lines and on opposite sides of a transversal. Alternate exterior angles are similar, but they are outside the parallel lines.

A linear pair of angles are adjacent and supplementary (meaning they add to 180).

What is the volume of this cube?
4 cubic feet
») 3 cubic feet
1 ft
6 cubic feet
1 ft
1 ft
>) 1 cubic foot

Answers

Answer:

it's 6 cubic feet look you must count all the sides together also I took the test this cube has 6 sides so your answer will be 6 cubic feet ;)

Step-by-step explanation:

7. Find the equation of a line in slope intercept form that is parallel to the line below that goes through the point (6, 4). y = fx-5

Answers

Answer:

y=3/2x-5

when finding the equation of a line, we use this formula

y=mx+b

where Y= a point on the y-axis

M= ∆y/∆x

x= a point on the x-axis

and b = intercept

Step-by-step explanation:

so to in this case, we are given y= 4, x=6 and y-int = -5

substitute the value in the given equation,

therefore, 4=6m-5

4+5=6m

9/6=M

3/2=m

Answer y=3/2x-5 that is the equation of the line

The graph of y = ax^2+ C contains the point (2, 14). Which point lies on the graph of y = a(x - 2)² + c?

Answers

Given:

The graph of [tex]y = ax^2+c[/tex] contains the point (2, 14).

To find:

The point which lies on the graph of [tex]y = a(x-2)^2+c[/tex].

Solution:

Consider the given equations are

[tex]y_1 = ax^2+c[/tex]     ...(i)

[tex]y_2 = a(x-2)^2+c[/tex]      ...(ii)

The translation is defined as

[tex]g(x)=f(x+a)[/tex]

where, a is horizontal shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

From equation (i) and (ii), it is clear that a=-2. So, graph of [tex]y = ax^2+c[/tex] shifts 2 units right to get the graph of [tex]y = a(x-2)^2+c[/tex].

It means each point on [tex]y = ax^2+c[/tex] shifts 2 units right.

[tex](x,y)\to (x+2,y)[/tex]

(2, 14) lies on [tex]y = ax^2+c[/tex].

[tex](2,14)\to (2+2,14)[/tex]

[tex](2,14)\to (4,14)[/tex]

Therefore, (4,14)  must be lies on [tex]y = a(x-2)^2+c[/tex].



Coordinates ? :) thank you

Answers

Draw from (3, -1.5) to (-2, 6)

person above me is very correct

1/2 X + 5 = 18
Solve the equation for x

Answers

answer:

x=26

26/2= 13+5=18
1/2x + 5 = 18
1/2x =13
x=6.5

The function f(x) = x^3 +2x^1/3 is a polynomial
true or false​

Answers

Answer:

not a polynomial

Step-by-step explanation:

A polynomial is a combination of terms separated by + or − signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms

Answer:

False is a Non-polynomial

What is the equation of line l

Answers

Answer:

Step-by-step explanation:

B

find the difference quotient of f(x)=2x/x+3

Answers

Answer:

Answer:

f=

5

x

Step-by-step explanation:

Let's solve for f.

fx=

2x

x

+3

Step 1: Divide both sides by x.

fx

x

=

5

x

f=

5

x

I need help with this can someone give me an answer, please

Answers

The slope is 2.
There are multiple ways:
Create “triangles” on the graph going up 2 and over 1.

This one is probably the best ~
Pick a point and divide y/x and you should get two.

Determine the distance between (2,1) and (12,13)

Answers

Answer:

[tex]d = 15.620499[/tex]

Step-by-step explanation:

To solve this question, we must use the following distance equation:

[tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]

Plug your coordinates into the equation. Remember, a coordinate is denoted as (x, y).

[tex]\sqrt{(12-2)^{2} + (13-1)^{2}}[/tex]

[tex]\sqrt{(10)^{2} + (12)^{2}}[/tex]

[tex]\sqrt{100+144}[/tex]

[tex]\sqrt{244} = 15.620499[/tex]

pls help!
Solve the following literal equation for y.
2x - 3y = 9

Answers

Answer:

y= -3+2x/3 ...i think

Step-by-step explanation:

Answer:

sorry don't know the answers and please follow me

The quotient of a number and ten

Answers

the answer would be q/10

Each of the 17 guinea pigs needs its cage cleaned. If it takes 1 hour to clean 4 cages, how many hours will it take to clean all 17 cages?

It will take
6
hours to clean all the cages.

Answers

Answer: 4 1/4 hours

Step-by-step explanation:

Answer:

it will take 4 hours and 30 minutes

Step-by-step explanation:

first you have to divide 4 by 17 so you would get 4 with a remainder of one. Next, four will be the number of hours and  the 1 is the 30 minutes.

help me please!!!!!!!!!!!!!!!!!​

Answers

not rlly surw if you are supposed to be putting dots there but if you are, I would put one a little bit before the first line for the 82.4 and one in the middle of the 600 and the line in the middle

Does changing the compound inequality x > −3 and x < 3 from “and” to “or” change the solution set? Explain.

Answers

Answer:

Sure yes.

1) x > - 3 or x < 3 means that the solution set is all the numbers greater than - 3 and all the numbers smaller than 3. That is, this union of intervals: (-3,∞) U (-∞,3),  which is all the real numbers.

2) x > -3 and x <3 means that the solution set is the numbers that are at the same time greater than -3 and smaller than 3. That is the intersection of the intervals: (-3,∞) ∩ (-∞,3), which is the interval (-3, 3).

Step-by-step explanation:

looked it up and got it right on edg 2020

Answer:

Sample Response: Yes, if you change the type of compound inequality, the solution set will change. The solution set of the “and” compound inequality contains values for x that satisfy both inequalities, which are values between –3 and 3. The solution set of the “or” compound inequality contains values for x that satisfy either or both inequalities, which includes all real numbers.

Step-by-step explanation:

(02.03 MC) The temperature at a mountain base camp was −2 degrees Celsius on Thursday. Friday morning, the temperature was 1 degree Celsius lower than it was on Thursday. By Friday evening, the temperature was 3 degrees Celsius lower than it was that morning. What was the temperature at the base camp Friday evening? (1 point) −9 degrees Celsius −8 degrees Celsius −7 degrees Celsius −6 degrees Celsius

Answers

Answer:

The temperature at the base camp Friday evening is - 6 degrees Celsius.

Step-by-step explanation:

To get the temperature at a mountain base camp on Friday evening, we must translate statement into a mathematical form:

(i) The temperature at a moutain base camp was - 2 degress Celsius on Thursday:

[tex]T_{o} = -2\,^{\circ}C[/tex]

(ii) Friday morning, the temperature was 1 degree Celsius lower than it was on Thursday:

[tex]\Delta T_{1} = -1\,^{\circ}C[/tex]

(iii) Friday evening, the temperature was 3 degrees Celsius lower that it was that morning:

[tex]\Delta T_{2} = -3\,^{\circ}C[/tex]

The temperature at the base camp Friday evening is:

[tex]T = T_{o}+\Delta T_{1}+\Delta T_{2}[/tex]

[tex]T = -2\,^{\circ}C-1\,^{\circ}C-3\,^{\circ}C[/tex]

[tex]T = -6\,^{\circ}C[/tex]

The temperature at the base camp Friday evening is - 6 degrees Celsius.

Answer:

D) -6 degrees Celsius

Please help ASAP please please

Answers

Answer:

C

Step-by-step explanation:

0.38 = 19/50

Hope this helps!

Answer:

19/50

Step-by-step explanation:

19×100=1,900

1,900÷50=38%

Alana bought some cans of paint and 1/2 of a liter of special paint additive formulated to reduce mildew. Before painting her house, she used all of the additive to put 1/8 of a liter of additive in each can. How many cans of paint did Alana buy?

Answers

Answer:

Alana bought 4 cans of paint additive

Step-by-step explanation:

Proportions

If a proportional amount of x is to be distributed between y elements, each one of them gets x/y portions.

For example, if we have 100 coins and distribute evenly between 20 boxes, each box will receive 100/20=5 coins.

Alana bought 1/2 of a liter of the special paint additive and evenly distributed it between an unknown number of cans, let's call it C. We also know each can received 1/8 of a liter of the additive. That is the proportion of the 1/2 liter of additive.

We can establish the following condition:

[tex]\displaystyle \frac{1/2}{x}=\frac{1}{8}[/tex]

Solving for x:

[tex]\displaystyle \frac{1/2}{\frac{1}{8}}=x[/tex]

Transform the division into a product:

[tex]\displaystyle x=\frac{1}{2}\cdot\frac{8}{1}=4[/tex]

Alana bought 4 cans of paint additive

Jonathan knit some scarves to sell at a local arts-and-crafts show. The function r(x)=13x models the amount of money,in dollars, he brings in by selling x scarves. The function c(x)=6x models the cost,in dollars, for Jonathan to produce x scarves. It also costs Jonathan $58 to get a booth at the show. Which of the following functions p(x) models his profit for selling x scarves?

Answers

Answer:

Step-by-step explanation:

Did u get an answer???

Answer: The answer is A.  

Step-by-step explanation:

since $12 is the amount of money he gets from selling scarves you have to subtract $2 from that because that's the amount of money he losses to make the scarves. then you have to subtract $45 because he had to pay for the booth so the answer is P(x) = 10x - 45

What is the measure of angle TSU?​

Answers

Answer:

80

Step-by-step explanation:

Angle VSU = 100. Angles TSU is a linear pair with angle VSU so adding them together equals 180. 180-100=80.

The model represents an equation.

Answers

Answer:

2.25

Step-by-step explanation:

-3x+10=5x-8

    +8       +8

-3x+18=5x

+3x     +3x

      18=8x

      _    _

      8    8

   2.25=x

Jamie is saving $50 per month from his pay check to buy a new video game system. The system costs $325, the controller costs $53, the power adapter costs $33 and the total cost of two games is $71. Use front-end estimation to estimate the cost of all the items. Then, choose the best estimate of the number of months it will take Jamie to save enough money to pay for all of the items.

Answers

Answer:

Using front estimation, the cost of all the items is $450 and it will take 9 months to save enough

Step-by-step explanation:

Here, firstly we want to use front-end estimation to estimate the cost of all the items.

So we want to use front end estimation to add;

325 + 53 + 33 + 71

Thus; 325 becomes 300, 53 becomes 50, 33 becomes 30

while 71 becomes 70

So the estimated total will be;

300 + 50 + 30 + 70 = 450

Now , since he saves $50 per month, the number of months it will take = 450/50 = 9 months

A ceramic sugar bowl weighs 340 grams when empty. It is then filled with sugar. One tablespoon of sugar weighs 12.5 grams. Write an equation to represent the relationship between the total weight of the bowl in grams, and the tablespoons of sugar,

Answers

Answer:Total Weight of Bowl W = 340 + (12.5T) grams

Step-by-step explanation:

Whats the estimated answer for 3,178 + 1,452 ?

Thank you!

Answers

3,178+1,452≈4,600
hope this helped

Answer:

4,360

Step-by-step explanation:

      3,178

   +

      1,452        

   =

     4,360

H.e.l.p M.e. P.l.e.a.s.e.

Answers

7.810 Rounded to the nearest thousandth

Please help I’ll
Give you brainiest!❤️

Answers

Answer:

A is incorrect

Step-by-step explanation:

Point x is negative, so you need to subtract the negative. In A, they are subtracting 5, not negative 5.

that answer (A) ^^^^^^^^^^^
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