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).

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Related Questions

Evaluate the expression when n=6
n² – 5n-2

Answers

Answer:

4

Step-by-step explanation:

(6^2) -5(6) -2 =4

that is the answer

Step-by-step explanation:

6^2 - 5×6 - 2

= 36 - 30 -2

= 4

can someone help me with this i am so confused

Answers

Answer:

HGI = 30

b/ce they are Vertically opposite angles

JGH = FGI

Answer:

1: Angle HGI is 30 degrees, Angle FGI is the same as JGH

Hope that helps. Brainliest is appreciated if it did!

If 134n = 54eight , calculate n​

Answers

sorry what does 54eight mean?

The value of 'n' is approximately 4.0896.

To calculate the value of 'n' in the equation 134n = 548, we can isolate 'n' by dividing both sides of the equation by 134.

134n = 548

Dividing both sides by 134:

n = 548 / 134

Evaluating the division:

n ≈ 4.0896

Therefore, the value of 'n' is approximately 4.0896.

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Complete Question:

If 134n = 548, calculate n​.

3x(5+4)=7

what dose that =

Answers

the answer is x=-15/5

If the slope of a line and a point on the line are​ known, the equation of the line can be found using the​ slope-intercept form, y = mx + b. To do​ so, substitute the value of the slope and the values of x and y using the coordinates of the given​ point, then determine the value of b. Using the above​ technique, find the equation of the line containing the points (-4,7) and (2,-2).
What is the equation of the line?

(Simplify your answer. Type your answer in​ slope-intercept form. Use integers or fractions for any numbers in the​ equation.)

Answers

Answer:

y=-3/2x+1

Step-by-step explanation:

NOTE: Doing graphs by hand is a lot easier, it saves a lot more time as well.

Step 1: plot your 2 known points.

Step 2: draw a line that goes between both points

Step 3: find the distance of the points in RISE/RUN format.

-9/6. The slope is negative because the line goes down to the right.

Step 4: find your y-intercept.

1.

Step 5: simplify your equation

-9/6 = -3/2

Evaluate the function when x= -3,0 and 1. Show work H(x) = 2.5x + 7

Answers

Answer:

H(-3)= -0.5

H(0)= 7

H(1)= 9.5

Step-by-step explanation:

For H(-3)

Substitute all of the x into -3

H(-3)=2.5(-3)+7

2.5 times -3 is -7.5

-7.5+7 is -0.5

So the answer for H(-3) is -0.3

For H(0)

Substitute all of the x into 0

H(0)=2.5(0)+7

2.5 times 0 is 0

0+7 is 7

So the answer for H(0) is 7

For H(1)

Substitute all of the x into 1

2.5(1)+7

2.5 times 1 is 2.5

2.5+7 is 9.5

So the answer for H(1) is 9.5

Hope this helps!

USE THE CLUES TO CRACK THE CODE
The digits of the code are 4,4, 0, and 2.
The number is less than 1.
The value of the thousandths digit is
value of the hundredths digit.
the
10

Answers

Answer:

Is the answer 0.244? Not sure whether you are asking for help or asking for others to do.

Please answer these and find the slope intercept form for each one.
Best answer gets brainliest

Answers

11) y=1/4x+2.5

12) y=-2x+8

7. Find a fraction between 1/7
and
6/7
Please answer quickly.

Answers

Answer:

[tex] \frac{2}{7} [/tex]

[tex] \frac{3}{7} [/tex]

Jorge has a standard deck of 52 cards and a six-sided number cube. What is the probability that he will draw a diamond from the deck of cards and roll a number greater than two? Write your answer as a simplified

Answers

The probability that Jorge draw a diamond from the deck of cards and roll a number greater than two is 2/39

Probability is the like likelihood or chance that an event will occur.

Probability = Expected outcome/Total  outcome

If Jorge has a standard deck of 52 cards, the total outcome is 6

If Jorge draw a diamond card, the probability that he will draw a diamond card is 4/52 = 1/13

For a six-sided cube, the total outcome is 6. If he rolls a number greater than two, the expected outcome will be 4

The probability that he rolls a number greater than 2 is 4/6 = 2/3

The probability that Jorge draw a diamond from the deck of cards and roll a number greater than two is 1/13 * 2/3 = 2/39

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Can someone tell me the answer to this please???

Answers

Answer:

36

Step-by-step explanation:

Answer:

It's 36 ya know

Step-by-step explanation:

60 and 60 so 36 and 36

:)

I need this bonus question

Answers

Answer:

52 units^2

Step-by-step explanation:

The area of the dresser is simple. It is just a rectangle that is 4 units by 3 units.

A_dresser = LW = 4(3) = 12 units^2

The area of the bed is a little more complicated, but you can get by using just areas of rectangles.

See the picture below.

Notice that the entire bed fits within a square (shown in blue) that is 9 units by 9 units.

The area of the square is 81 units^2.

We need to subtract the areas of the 4 triangles at the corners.

There are two triangles, top left and bottom right (shown in green), that have a base of 5 and a height of 5. They combine to for a square that is 5 units by 5 units. The area of this square is 25 units^2.

There are two triangles, top right and bottom left (shown in red), that have a base of 4 and a height of 4. They combine to for a square that is 4 units by 4 units. The area of this square is 16 units^2.

Now subtract 25 and 16 from 81 to get the area of the bed.

81 - 25 - 16 = 40

A_bed = 40 units^2

Combined area of bed and dresser:

A = 40 units^2 + 12 units^2 = 52 units^2

Answer: 52 units^2

Here's another way of finding the area of the bed:

Count the number of full squares inside the bed (there are 31). Each full square is 1 unit^2. Then count the number of half-squares inside the bed (there are 18). Each half-square is 1/2 units^2. Add them all up:

31 + 1/2 * 18 = 31 + 9 = 40

You get 40 units^2

Ms. Nguyen needs to separate $385 into three parts to pay some debts. The second part must be five times as large as the first part. The third part must be $35 more than the first part. How much money must be in each part?

Answers

Answer:

1st: $50 2nd: $250 3rd: $85

Write an equation in slope-intercept form for the line described. Write the slope and y-intercept as fractions, if necessary. passes through (6, 2), parallel to y = -}x+1

Answers

So, using what I’m being given:

The slope of your answer will be whatever number is supposed to be in front of the x (assuming you hit the close brace on accident the same time you hit the minus sign, I’m gonna assume you meant to put -x+1) making the slope of your answer -1.

So you have y=-x+b

To find b, plug in (6,2)

2 = -(6) + b
8 = b

So, your answer would be

y = -x + 8

Otherwise, whatever is suppose be in front of the x,

y = -mx + (2+6m)

If x + y = 10 and x - y = 4, find the value of x² - y²

Answers

Answer:

x²-y² = 40

Step-by-step explanation:

Factorising x²-y²:

x²-y² = (x+y)(x-y)

This is due to the property that states:

a²+b² = (a+b)(a-b)

Substituting the given values into the above equation:

x²-y² = (10)(4)

= 40

Hence, x²-y² = 40

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

x² - y²=40 or 7²-3²=40

Step-by-step explanation:

if x=7 that would make y=3

7+3=10 and 7-3=4

7x7=49

3x3=9

49-9=40

Fatima conducted an experiment where she asked people to estimate the temperature of glasses of water. She recorded how far the estimates were from the actual temperatures, using positive values for guesses that were too high and negative values for guesses that were too low. Her results are in the table below.
Estimate -−minus actual temperature (\degree\text{C})(°C)left parenthesis, degree, start text, C, end text, right parenthesis
Person A Person B Person C
-3−3minus, 3 444 888
-1−1minus, 1 -4−4minus, 4 -2−2minus, 2
000 222 555
222 -3−3minus, 3 111
What is the mean value in Fatima's results?

Answers

The mean value is the sum of the temperature values divided by the total frequency. Hence, the mean value in Fatima's temperature result is -0.75°C

Given the data :

Person 1 :

-3, - 1, 0, 2,

Sum = (-3 + (-1) + 0 + 2) = - 2

Person 2 :

4, -4, 2, - 3

Sum = (4 + (-4) + 2 + (-3)) = - 1

Person 3 :

8, - 2, 5, 1

Sum = (8 + (-2) + 5 + 1) = 12

Mean value = (Total sum ÷ Frequency)

Mean value = [(-2 + (-1) + 12) ÷ 12]

Mean value = - 9 ÷ 12 = - 0.75

Therefore, the mean value of the result is 0.75°C

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Is 12 × –1 positive or negative? positive negative Submit

Answers

Answer:

it's a negative number. the answer would be

Step-by-step explanation:

-12



please help me thank you​

Answers

Answer:

Step-by-step explanation:

1.x +y = 1   Yes

2. Power of variable e is 3. So, it is not a linear equation

No.

3) Great than symbol is there. No, it is not a linear equation.

4. 2x -y = 2x + 5

2x - y - 2x = 5

      -y = 5 is not a linear equation with two variable.

No.

5. No.

1) (5,14)  ; (19,7)

[tex]Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{7-14}{19-5}\\\\=\dfrac{-7}{14}\\\\=\dfrac{-1}{2}[/tex]

2) (-10 , 1)  ; (-10 ,4)

x- coordinate is same for both the points. So, the line is parallel to y-axis

Slope = undefined

[tex]3) (-3,-3) ; (15,13)\\\\slope=\dfrac{13-[-3]}{15-[-3]}\\\\=\dfrac{13+3}{15+3}\\\\=\dfrac{16}{18}\\\\=\dfrac{8}{9}[/tex]

[tex]4)(\dfrac{-1}{2},\dfrac{1}{7}) ; (\dfrac{-3}{2},\dfrac{2}{7})\\\\Slope=\dfrac{\dfrac{2}{7}-\dfrac{1}{7}}{\dfrac{-3}{2}+\dfrac{1}{2}}\\\\\\=\dfrac{\dfrac{1}{7}}{\dfrac{-2}{2}}\\\\\\=\dfrac{\dfrac{1}{7}}{-1}\\\\\\=\dfrac{-1}{7}[/tex]

Compare with y = mx + b  ; here m is slope

1. y = -2x - 8

slope = -2

2. x = 3

Line is parallel to y-axis.

So, slope = undefined

3.2x - y = 4

        2x - 4 = y

y = 2x - 4

Slope = 2

4.) 2x + y - 5 = 0

       y = -2x + 5

Slope = -2

Jones needs to travel from Town A to Town B in 2 hours. If the distance between between two towns is 320km. At what speed will Jones need to drive?

Answers

Answer:jone cần lái xe với tốc độlà:

Step-by-step explanation:   320/2=160(km/h)

find the domain and range of the following functions​

Answers

Answer:

Step-by-step explanation:

X values are the domain and y values are range.

Domain = {-1,8,1,-2 }

Range = {3,2,5}

Evaluate 4.56 × 3.6/ 0.12 and leave you answer in standard form.

Answers

Answer:

136.8

Step-by-step explanation:

As per DMAS rule, we can divide first or multiply first. I would choose divide first. Then:

4.56 x 3.6/0.12

= 4.56 x 30.

Since I divided first, the next step is to multiply.

4.56 x 30

= 136.8

Since there is no addition or subtraction happening next, the process ends here and the answer is 136.8.

Kind requests:

Please give me brainliest if this was helpful.

The expression value  [tex]4.56 \times \frac{ 3.6}{0.12}[/tex] in standard form is 136.8=1.368×10².

To evaluate the expression [tex]4.56 \times \frac{ 3.6}{0.12}.[/tex]

Find the multiplication of the numerator with 4.56 and then divide it by 0.12.

Perform the multiplication first:

4.56×3.6 = 16.416

Now we divide the result by 0.12:

[tex]\frac{16.416}{0.12} = 136.8[/tex]

To express the answer in standard form, we rewrite it as a number multiplied by a power of 10.

In this case, we move the decimal point two places to the right to obtain a whole number:

136.8=1.368×10²

Therefore, the answer to the expression  [tex]4.56 \times \frac{ 3.6}{0.12}[/tex] in standard form is 136.8=1.368×10²

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en un restaurante se usan 70 gramos por cada porción de arroz por persona.Si un día se preparan 4760 gramos de arroz ¿cuántas porciones se obtendrán?​

Answers

Queremos saber cuantas porciones de arroz se preparan dado que conocemos cuantos gramos de arroz se utilizan.

Se prepararon 68 porciones.

Lo que sabemos en principio es que, por cada porción de arroz, se necesitan 70 gramos de arroz.

Sabemos que en total se utilizan 4,760 gramos de arroz. Para saber cuantas porciones se prepararon, hay que tomar el cociente entre la cantidad total utilizada y lo que se usa para cada porción.

Esto nos da:

4,760g/70g = 68

Es decir, se prepararon 68 porciones.

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*PLEASE HURRY WILL GIVE BRAINLY* A company's profits (in dollars) are modeled by the function p(x) = —x^2+ 1100x - 300000, where x is the number of units produced. To determine the minimum number

of units that must be produced in order to earn profits of $590, the company plots the parabola of y = —x^2 1100x -- 300000 and the line x = 590, finds the intersection

of the two, and concludes that 900 units must be produced. Is the company correct? Explain, rounding values to the nearest whole number if necessary.

Answers

No, it’s not correct. The y-axis on the graph represents the profits p(x) so the minimum number of units produced should be when the a horizontal line at y = 590 first intersects the parabola drawn left to right, and not a vertical line at x = 590 because that represents the profit as 590 units are produced.

What is the equivalent ratio to 14:10 ?

?:30

Answers

Answer:

42:30

Step-by-step explanation:

10 x 3 = 30

14 x 3 = 42

The answer is 42.

10 is 3 times to get to 30

So 3 times 14 gets to ?

14:10
42:30

a 450-square-foot apartment in new york city costs $540,00 what is the price per square foot?

Answers

Answer:

$1200

Step-by-step explanation:

Let cost of 1 square foot be x

So, Cost of 450 square feet =  450x

We are given that A 450-square-foot apartment in New York City cost $540,000.

So, 450x = 540000

x= [tex]\frac{540000}{450}[/tex]

x= 1200

Cost of 1 square foot = $1200

Hence the price per square foot is  $1200

If there are three black, four white, two blue, and four gray socks in a drawer, what would be the probability of picking a black sock as a fraction in simplest form?

Answers

Answer:

3/13

Step-by-step explanation:

three socks out of the 13 are black. therefore you have a 3/13 chance of picking black.

)
2 ft
2 ft
Perimeter:
Area:

Answers

Answer:

perimeter = 8 ftarea = 4 ft

Solution:

perimeter- 2 + 2 + 2 + 2 = 8

area of square- (length × width) 2 × 2 = 4

Simplify the following expressions by distributing. 4(-w +8)

Answers

Answer:

-4w+32

Step-by-step explanation:

distribute the 4 to everything in the ( )

Eliot went to the store and bought 4 1/2 pounds of chicken for $12.00. What was the cost per pound of chicken? round you answer to the nearest cent is necessary.

I will give you brainly

Answers

Answer:

$2.67

Step-by-step explanation:

$12.00 divided by 4.5 (aka four and a half) = 2.6666 = amount per pound

Round to the nearest cent. 2.666, that last six makes the six in the hundredths place round up to 7.

Help plsssssssssssssssssssssssssssssssssssssssssss
Hehe it’s a test for y’all the best will get full marks and 100 points with brainly

Answers

10.<

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12.<

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Make me as brain liest

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