A line l2 is perpendicular to the line x + 2y – 5 = 0 without computing the gradient of this
line find the equation of l2 if it passes through (3, 4)​

Answers

Answer 1

Answer:

y=2x-2

Step-by-step explanation:

first, let's put the line into y=mx+b form (slope-intercept form), where m is the slope (or gradient) and b is the y intercept

add 5 to both sides

x+2y=5

subtract x from both sides

2y=-x+5

divide by 2

y=-1/2x+5/2

perpendicular lines have slopes (gradients) that are negative (one is positive, another one is negative) and reciprocal (they are essentially the same number, just "flipped")

to find the slope of I2:

since -1/2 is negative, that means the slope of I2 will be 2 (2/1 is the reciprocal of 1/2 (positive version of -1/2))

so here's our equation so far:

y=2x+b

now we need to find b

because line will pass through (3,4), we can use it to solve for b

substitute 4 as y and 3 as x

4=2(3)+b

multiply

4=6+b

-2=b

therefore the equation is y=2x-2

hope this helps!!


Related Questions

Find the 52nd term of the arithmetic sequence 5, 9, 13, ...

Answers

The answer should be 213

7 x n = 42 + 7 what does n represent

Answers

Answer:

n=7

Step-by-step explanation:

n=7

In the expression 7 x n = 42 + 7, n represents a graph of a function in terms of x.

What is a function?

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have an expression:

[tex]\rm 7 x n = 42 + 7[/tex]

Solving for the term n

[tex]\rm 7xn = 49\\\\\rm xn = 7[/tex]  (divide by 7 on both sides)

[tex]\rm n = \frac{7}{x}[/tex]  or

[tex]\rm n = 7x^{-1}[/tex]

If x = 1, then value of n

n = 7

Thus, in the expression 7 x n = 42 + 7, n represents a graph of a function in terms of x.

Learn more about the function here:

brainly.com/question/5245372

An example of a rectangular Prism can be: A globe or ball O Fish tank o Bowl Can​

Answers

Answer:

Fish Tank

Step-by-step explanation:

This of a rectangular prism as a cardboard box. It has rectangles on the top and the bottom. The fish tank is somewhat similar to this so it will be a rectangular prism.

In the Eqaulity -8 ≤ -5. Which number appears farther left on a number line and why?
A -8 appears farther left because -8 is smaller -5
B -5 appears farther left because -5 is larger than -8
C -8 appears farther left because -8 is larger than -5
D -5 appears farther left because -5 is smaller than -8

Answers

The answer is going to be number a

Pls help me if u can

Answers

Answer:

523.33 cm³

Step-by-step explanation:

Formula of volume of sphere

[tex] = \frac{4}{3} \pi {r}^{3} [/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {5}^{3} [/tex]

[tex] = \frac{1570}{3} [/tex]

[tex] = 523.3333333...[/tex]

= 523.33 cm³ (rounded to the nearest hundredth)

How many distinguishable permutations are there for the word SCIENCE?

Answers

Answer:

Step-by-step explanation:

= 7*6*5*4*3*2*1 = 5040.

Step-by-step explanation:

Step-by-step explanation:

= 7*6*5*4*3*2*1 = 5040.

Please help I’ll mark you as brainliest if correct!

Answers

Answer: 34.52 Is the correct answer.

The smaller cube measures 10 cm on each edge. What is the surface area?

Answers

Answer:

10 cm cubed or 10^3cm

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

6 sides x 10 x 10 = 600

this is the surface area

Write an equation, and solve. Round your answer to the nearest cent.
If 3 oz of granola costs $3.03, find the cost of 16 oz of granola.
The cost of 16 oz of granola should be $

Answers

Answer:

The cost of 16 oz of granola should be $16.16

Step-by-step explanation:

Given that,

The cost of 3 oz of granola is $3.03

We need to find the cost of 16 oz of granola..

As 3 oz = $3.03

1 oz = (3.03/3) = $1.01

The cost of 16 oz will be :

16 oz = 16×1.01

= $16.16

Hence, the cost of 16 oz of granola should be $16.16.

What is the average rate of change from x = −4 to x = 1?

Answers

Answer:

What is the average rate of change from x = −4 to x = 1? x= -4 x + 5

Answer I need it please

Answers

Answer:

the answer is A

Step-by-step explanation:

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Answers

Answer:

boom boom boom

Step-by-step explanation:

Answer:

ok?

Step-by-step explanation:

Find the surface area of the prism.
2 in.
2 in.
6 in.

Answers

Answer:

56 m^2

Explanation: L=2, H=2, W=2, d = 6.63324958 m, TSA = 56 m^2, LSA = 48 m^2, TSA = 4 m^2, BSA = 4 m^2, V = 24 m^3

Given N , what is mABC

Answers

A is 222 answer c because answer c is correct because why is answer c 222 is best choice

Point A is located at -7 on a number line, and point B is located at 3 on the number line. Point C is the same distance away from point A as point B is from point A, but in the opposite direction. Which is the location of point C on the number line?

options:

-17
-10
-4
-3

Answers

Answer:

Dang someone come help him

Step-by-step explanation:

What is the length of the third side of a right triangle if it is known that the two of the sides have lengths 9 and 12. How many solutions does this problem have

Answers

Answer:

34 the answer

Step-by-step explanation:

Plzzzz help I give 100points

Answers

Answer:

The second 1: Beaver dams can make water safer and cleaner

Step-by-step explanation:

Since Beaver dams create wetland = new plants and animals to area = clean water, so  beaver dams = clean water.

Answer:

I WANT POINTS

Step-by-step explanation:

NOTHING TO SAY ABOUT I-Ready.

Which fraction is the product of 5/4 x 6?

Answers

Answer:

15 x /2

Step-by-step explanation:

Martina and Cameron each want to run for president of their school's student body council . In order to do so, they must collect a certain number of signatures and get a nomination So far Martina has 10 signatures , and Cameron has 15. Martina is collecting signatures at an average rate of 2 per day, whereas Cameron is averaging 1 signature every day. Assuming that their rate of collection stays the same, eventually the two will have collected the same number of signatures . many signatures will they both have? Write a system of equationsgraph them, and type the solution

Answers

Answer:

20

Step-by-step explanation:

I hope the answer satisfies you and hope that you understand my handwriting as I have explained. Thanks for the problem, it also helps me.

Question 1 (10 points)
A jar lid has a diameter of 32
millimeters. What is the
circumference of the lid to the
nearest tenth?
Blank 1:

Answers

Step-by-step explanation:

C=2πR=πD=3.14*32=100.5 mm

Triangle UVW has a perimeter of 11.5 units. Solve for y.

Answers

Answer:

y = 3.2 units

Step-by-step explanation:

Find the missing angle measure x. Use the fact that all interior angle measures in a triangle add up to 180 degrees.

55 + 50 + x = 180105 + x = 180x = 75

We can use the Law of Cosines to determine the missing side length y.

a² = b² + c² - 2bc · cos(A)

Let's set UW (y) as a, WV as b, and UV as c. Therefore, ∠V must be A, ∠U must be B, and ∠W must be C.

Use the Law of Cosines to solve for a (side length y).

a² = b² + c² - 2bc · cos(A) a² = (4)² + (3.5)² - 2(4)(3.5) · cos(50) a² = 28.25 - 28cos(50) a² =  28.25 - 17.99805307 a² = 10.25194693 a = 3.20186616366    

Side length y is equal to 3.2 units.

what should be added to -7/3 to get 3/7
A.21/58
B.58/21
C.47/21
D.50/21​

Answers

Answer:

b

Step-by-step explanation:

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.4 and 51.4 min.

P(50.4 < X < 51.4) =

Answers

Answer:

=0.70

Step-by-step explanation:

p(x < 51.4) = (51.4-50.0)/(52.0-50.0)

p(x < 51.4) =1.4/2

=0.70

#4 please help! One question seen in pic

Answers

Answer:

B. (x - 2)(x + 2)

Step-by-step explanation:

The answer is b. If you have (x + a)(x - a), the variables will cancel each other out. For example, if we take the answer (x - 2)(x + 2) and factor it out, we get:

x² - 2x + 2x - 4

Then it becomes just:

x² - 4 because the x to the power of one has been canceled. This proves his theory wrong.

Answer:

B

Step-by-step explanation:

I think I think I think I think

A composite figure is shown. What is the volume of the composite figure? 4 cm 6 cm 4 cm 9 cm 5 cm​

Answers

Answer:

No figure shown.

Step-by-step explanation:

Answanswer:

the answer is 4,320.

Step by-step explanation:

The reason the volume is this is becuase you first need to know the volume.

V= L x W x H. (Length and width are also called base.)

Now what you do is just multiply 4*6= 24*4= 96*9= 944*5= 3,420

Please answer if you are SURE.

Answers

2x -7 , x = 1 , 2+ 7 , 2x - 7 = 14

The circle graph shows how Tremaine divided his time on the computer last week. Tremaine used the computer a total of 30 hours last week. How many more hours did Tremaine use the computer to play games than to do research?

A) 20 hours
B) 6 hours
C) 1.5 hours
D) 7.5 hours

Answers

Answer:

A) 20 hours

Step-by-step explanation:

:>>>

25-5=20

25-5=20 so the answer is A) 20 hours

What is the median of the data set?
History Test Scores
50 8
65 6 8 9
70 3 5 8
80 6 7 7 7
9 0 1 3 5 6 8 99
50 = 50 points
50
0 87
49
86.5
86
Helppp!!

Answers

Answer:

86

Step-by-step explanation:

Median : the middle value of a set of data arranged in numerical order.

To solve: Place number in order from least to greatest then began crossing one off at the beginning of the data set and one at the end. (like your playing the game one for you , and one for me) The median will be the last number left without a match in the middle.

Answer:

The answer is 86 beacause

Step-by-step explanation:

I did the lesson so its correct if you think its wrong then i dont care at all or if u think i stole answer i really dont care

Henry plans to buy Pepsee for people to drink at his birthday party. The grocery store has a sale
in which the first liter of Pepsee costs $3, and every liter that is bought after that costs $1.50.
Henry has $9 to spend.
What is the maximum number of liters Henry can buy? 4 liters
4.67 liters
5 liters
6 liters

Answers

Answer:4,67

Step-by-step explanation:

Which is more likely: rolling a total of 8 when two dice are rolled or rolling a total of 8 when 3 dice are rolled? Discuss your solution by explaining it.

Answers

Answer:

Rolling a sum of 8 from two dice is more likely

Step-by-step explanation:

To obtain which is more likely, we could obtain the individual probabilities of both events.

TWO DICE :

Sample space for 2 die rolls = total possible outcomes = 6² = 36

Number of favorable outcomes = sum of 8 from 2 rolls = 5

Probability = number of favorable outcomes / total possible outcomes

P(sum of 8) = 5 / 36 = 0.1388

THREE DICE :

Total possible outcomes = 6³ = 216

Number of favorable outcomes = 21

P(sum of 8) = 21 / 216 = 0.097222

0.1388 > 0.097222

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