Line L1 has gradient 2 and is perpendicular to line L2. Line L2 passes through the point P(2, 1).

Find the x-coordinate of the point where L2 meets the x-axis.

Answers

Answer 1

Answer:

line L1 and line L2 passes L2.

Answer 2

The x-coordinate of the point where L2 meets the x-axis is (1, 4).

What is the Point-slope form?

The equation of the straight line has its slope and given point.

The equation of the line L2, we will use the point-slope equation of a line expressed as y-y₀ = m(x-x₀)

m is the slope of the unknown line (x₀, y₀) is the given point.

First is to get the slope of the known line:

The standard equation of the line

y = mx+c, it can be seen that m = 2

Then we will calculate the slope of the required line.

Since L1 is perpendicular to L2, the product of their slope will be -1 so,

mm₁ = -1 where m₁ is the slope of the required line L2.

Given m =2

m₁ = -1/m

m₁ = -1/2

Now we will calculate the equation of line L2 by substituting the slope of line L2 and the point in the point slope equation above;

y-y₀ = m(x-x₀)

Given (x₀, y₀) = (2, 1) and m₁ = -1/2

y-2 = -1/2(x-1)

open the parenthesis;

y-2 = -x/2+1/2

multiply through by 2:

2y-4 = -x+1

2y+x = 1+4

2y+x = 5

Hence, the equation of the line L2 is 2y+x = 5

Therefore, the x-coordinate of the point where L2 meets the x-axis is (1, 4).

Learn more about slope here:

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Related Questions

3y-6 = y+4 solve HELLLLKPPP

Answers

so first -y which is 2y-6= 4 so then +6 which makes 2y = 10 then divide by 2 which gives y = 5

Chu kỳ của hàm số y=sin 4 là:

Answers

tính bằng công thức 2pi/|b| => 2pi/|4|=>chu kì : pi/2

Solve for x step by step

Answers

Answer:

n=11

Step-by-step explanation:

n+5/-16=-1, multiply both sides by -16

n+5=16, subtract 5 from both sides

n=11

which aglae has a lager mass at 3 hours in kilograms

Answers

Answer:

A) The blue algae has 12 kg more mass at 3 hours.

B) The green algae has 12 kg more mass at 3 hours.

C) The blue algae has 36 kg more mass at 3 hours.

D) The green algae has 36 kg more mass at 3 hours

15. A 12.5 oz bag of Doritos for $3.79 or a 3 oz bag for $1.00.

Which is the better buy

Answers

Answer: $3.79 for 12.5 oz. is cheaper per ounce than $1.00 for 3oz.

Step-by-step explanation: Without much effort we can see that $ 1.00 for 3 oz $4.00 for 12 oz. but you can get more (12.5 oz.) for less than $4.00 (for $3.79) if you buy 12.5 oz. for $3.79

Maya is saving money to buy a game. So far she has saved $6, which is two-thirds of the total cost of the game. How much does the game cost?

Answers

Answer:

9 dollars

Step-by-step explanation:

Since 6 is 2/3 of the total price, and half of 6 is 3, add three to 6 and you get 9.

Answer:

9 dollars

Step-by-step explanation:

if 6 dollors==>2/3from the game totall price

1 complete game how much

6÷2/3=9dollars

4.5 kg equals times one gram

Answers

Answer:

4500 gr

Step-by-step explanation:

4.5 kg equals some number (n) times one gram.  Solve this for n:

4.5 kg = n(1 gr)

Recall that 1 kg = 1000 gr.  Because of this, the equation above becomes

        4.5 kg          (4.5)(1000 gr)

n = --------------- or ------------------- or 4500 gr

       1000 gr                     1 gr

help please because I feel like my brain is gonna rot from this (please look at the image)

Answers

Answer:

124.3

Step-by-step explanation:

42.15+20.00=1/2x

62.15=1/2x

62.15*2

124.3 is the total of her paycheck.

42.1<20.00+x

HELP!! Please!! Complete the equation describing how
x and y are related.

Answers

y=2x. if x and y are related.

What is the slope-intercept equation
for the following line?

Answers

Answer:

y = - x + 1

Step-by-step explanation:

Slope = 2/-2 = -1

y-intercept: 1

y = -x + 1

Answer:

y = -x + 1

Step-by-step explanation:

Given the points (2, -1) and (0, 1):

Let (x1, y1) = (2, -1)

(x2, y2) = (0, 1)

Substitute these values into the slope formula:

m = (y2 - y1)/(x2 - x1)

m = [1 - (-1)] /(0 - 2)

m = (1 + 1)/ -2

m = 2/-2 = -1

Therefore, the slope, m = -1.

Next, the y-intercept is the y-coordinate of the point (0, b) where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

The ordered pair, (0, 1) represents the y-intercept. Its y-coordinate is the value of b = 1.

Therefore, the linear equation of the graph in slope-intercept form is:

y = -x + 1

Mamadou has a points card for a movie theater.
He receives 55 rewards points just for signing up.
He earns 7.5 points for each visit to the movie theater.
He needs at least 100 points for a free movie ticket.

Write and solve an inequality which can be used to determine
v
v, the number of visits Mamadou can make to earn his first free movie ticket.

Answers

Answer:

Inequality: 7.5v+55≥100

Answer: v≥6

Step-by-step explanation:

Have a good day :)

The inequality for the given situation is 7.5v+55≤100.

Given that, Mamadou receives 55 rewards points just for signing up. He earns 7.5 points for each visit to the movie theater. He needs at least 100 points for a free movie ticket.

What is an inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The number of visits Mamadou can make to earn his first free movie ticket is v.

The inequality for the given situation is 7.5v+55≤100

Subtract 55 on both the sides of inequality.

That is, 7.5v+55-55≤100-55

⇒ 7.5v≤45

⇒ v=45/7.5

⇒ v=6

Therefore, the inequality for the given situation is 7.5v+55≤100.

To learn more about the inequality visit:

https://brainly.com/question/20383699.

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ABC is an equilateral triangle drawn on side BC of square BCDE prove that AE=AD

Answers

Answer:

in the picture

Step-by-step explanation:

in the picture

10 yd
5 yd
7 yd
2 yd
Perimeter:
Area:

Answers

Answer:

p= 24

a=50

Step-by-step explanation:

p= rectangle l+b+l+b or square l+l+l+l

a= rectangle lxb or square lxl

If p = -2 then 4p^3 = ? ​

Answers

Answer:

ok the answer is 2/p4

Step-by-step explanation:

1. Line a passes through points (-2, 1) and (2, 9). Write an equation in slope intercept form that is parallel to line a. Show your work.​

Answers

Answer:

The answer is y=ax+9−2a i think

Neisha ate 1/3 of her birthday cake. If her 3 younger siblings divided the rest equally, what fraction of the cake did they each get?

Answers

Answer:

2/9 each

Step-by-step explanation:

2/3 would be left from neisha, therefore 2/3 divided by three = 2/9.

please help ill gjve u brainliest.​

Answers

Answer: (Read Explanation)

Step-by-step explanation:

I have attached a picture of the matching plot.

Which function has a domain of {all real values of x : x does not equal 1)? **Hint: Graph the function and look for an asymptote where x does not equal 1.

See attached below..

Please help, I need an explanation because I don’t understand how this works.

Answers

Uhhh… this is a bad question. Because technically, none of those is the true correct answer. However, the only answer that it COULD be is B. If you were to plug in 1 into B, you’d get 0 in the denominator which creates an asymptote in the graph. None of the other three have this property

(Just a side rant, the reason none of them are technically correct is because x cannot equal -1 either… just some bonus points you could redeem with your teacher if you feel like it)

Volume can be found by using the formula: volume = lwh.l = 4, w = 8, and h = 5Volume =

Answers

Answer:

160=volume

Step-by-step explanation:

if l*w*h=volume, and l=4, w=8, and h=5. then we can get an equation:

4*8*5=volume

simplify to get your answer

160=volume

Write the equation.Please help

Answers

y = 3x is the answer
I did the math

What even is this? Did my teacher have a typo?
56\pi +67i\leq +23

Answers

Answer: it's not a typo its a formula

hope this helps

brainliest?

what is the slope of this line?
a) -1/3
b)1/3
c) -2/3
d) 2/3​

Answers

Answer:

look at the picture i have sent

Answer please
Can someone give me the answer

Answers

Answer:

sorry I don't know pls ask someone else

sorry i don’t know either

What is the axis of symmetry of the quadratic function y = 2(x + 3)2 + 5?

Answers

Answer:

I would answer it correctly but only 5 points -_-

Step-by-step explanation:

it is not written in the correct format therefore it does not have an axis of symmetry

A water tank currently contains 275 gallons of water. The amount of water in the tank will decrease at a constant rate of 15 gallons per week.
Which function can be used to find t, the total number of gallons of water in the tank after w weeks?

F t = 15w - 275
G t = -15w + 275
H t = 275w - 15
J t = -275w + 15

Answers

The function that can be used to find t, the total number of gallons of water in the tank after w weeks will be t = -15w + 275

The initial volume of water in the tank is 275 gallons

The amount of water in the tank decreases at a constant rate of 15 gallons per week.

t = total number of gallons water in the tank after weeks

w = number of weeks

Therefore, the following equation/theory can be establish

The initial gallon of water in the tank is 275 gallons that means we should have positive value of 275 in the equationThe gallon of water reduces by 15 gallons each week which means 15 gallons will be subtracted from the initial gallons of water each week. This means we have to find the product of -15 and w(number of weeks).

The equation will be

t = 275 - 15w

or

t = -15w + 275

Check here for more details on how to find linear equations: https://brainly.com/question/17846793?referrer=searchResults

A line has a slope of 9 and passes through the point (0, 5). What is its equation in slope -intercept form?

Answers

Answer:

y = 9x + 5

Step-by-step explanation:

Slope = m = 9

(0 , 5)

Slope intercept form: y = mx + b

y = 9x + b

Plugin x = 0 and y = 5

5 = 0 + b

b = 5

y = 9x + 5

Shaq painted 600 portraits in 8 hours at that rate how many portraits would he paint in 4 minutes?

Answers

Answer: In 4 minutes he will make 5 portraits

Step-by-step explanation:

[tex]\large \boldsymbol{} 600p-8h=480 min \\\\ x \ p-4 min \\\\ x=\dfrac{600\cdot 4}{480} =\dfrac{2400}{480} =5 \ portraits \\\\ \rm Answer : 5[/tex]

How to solve for j -10=║j-7║

Answers

Answer:

No solutions.

Step-by-step explanation:

-10 = 7

No solutions

You have a garden ABCD that you decide to move to another
location and enlarge afterwards to become A"B"C"D", as shown. The axes have a
scale in meters. Write the translation rule in the form (x+h, y+k) to show how the
garden has been moved.

b. Determine the scale factor used to enlarge the garden

Answers

Answer: no

Step-by-step explanation: no

Answer:

scale enlargement of 1 1/2 (  x+5, y+3)  

Step-by-step explanation:

Can someone tell me the answer to this please

Answers

Answer:

132°

Step-by-step explanation:

Because the triangle is isosceles, the two base angles are the same. This means that two angles in the triangle are 24°

24 + 24 + ∠PON = 180° - first, simplify this

48 + ∠PON = 180° - now, subtract 48 from both sides

∠PON = 132°

Hope this helps!

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