Find the equation of the line passing through point (4,2) and perpendicular to AB

Find The Equation Of The Line Passing Through Point (4,2) And Perpendicular To AB

Answers

Answer 1

Answer:

a. -⅓

b. 3

c. y = 3x - 10

Step-by-step explanation:

a. Gradient of line AB:

A(1, 3), B(7, 1)

[tex] Gradient = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 3}{7 - 1} = \frac{-2}{6} = -\frac{1}{3} [/tex]

Gradient (m) = -⅓

b. The of the line that is perpendicular to line AB would be the negative reciprocal of the gradient of line AB.

Thus, the negative reciprocal of -⅓ = 3

Gradient of the line perpendicular to line AB = 3

c. Equation of the line that passes through (4, 2) and is perpendicular to line AB:

We can write the equation using the point-slope form equation, y - b = m(x - a), where,

(a, b) represents a point on the line, and,

m = gradient/slope

We know that the gradient/slope (m) = 3

Also, a point, (a, b) = (4, 2).

Therefore, substitute a = 4, b = 2, and m = 3 into y - b = m(x - a)

Thus:

y - 2 = 3(x - 4)

y - 2 = 3x - 12

Add 2 to both sides

y = 3x - 12 + 2

y = 3x - 10


Related Questions

Miriam wants to paint her room green. She makes a mixture of 50% yellow paint and 50% blue paint to create the color she likes. What type of change occurs when she mixes the paint? A chemical change B phase change C physical change D solution change

Answers

Answer:

A chemical change

Step-by-step explanation:

Since in the question it is mentioned that the Miriam wants to paint her room green so she makes a mixture of yellow paint 50% and the blue paint 50% so here the change that arise at the time when she mixed the paint is the chemical change as the two paints are mix together that means chemical together to develop a chemical change

So the first option is correct

1. identify the coeffieceint: 6x + 19

Answers

If my writing is sloppy you can tell me to send it again, but hope this helps.

Answer:

The coefficient is 6 because it has a variable "x"

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

DJ = 48 units

Step-by-step explanation:

The centroid of a triangle is the point of intersection of its median.

The centroid divides each of the medians in the ratio 2 : 1 .

DJ = [tex]\frac{2}{3}[/tex] DH

DJ = [tex]\frac{2}{3}[/tex] × 72 = 48 units

(3x - 20°
(3x – 20)°
4xº
4xº
(3x – 20°
(3x – 20)
What is the value of x?

Answers

Step-by-step explanation:

this is given that the figure is a hexagonlet give a name to the given hexagon be ABCDEF

Angle a + B + C + D = 720 ( Ls sum pro. of hexagon)3x-20+3x-20+4x+4x+3x-20+3x-20 = 7203x+3x+3x+3x+4x+4x-20-20-20-20 = 720 (rearranging)20x - 80 = 72020x = 720 + 80 x=800/20

x = 40 degrees

3x-20 = 1004x = 160

I HOPE THAT THIS ANSWER HELPS YOU

hiii please help i’ll give brainliest if you give a correct answer ty!!

Answers

Answer:

3) $76.00

Step-by-step explanation:

I did my math

Order the numbers from least to greatest. Show your work. 19/25, -0.33, 68%, -14/20, 50%

Answers

Answer:

unchy roll hulu netflix amazon prime

Answer:

-14/20, 50%, 68%, 19/25

Step-by-step explanation:

19/25 is equivalent to 0.76

-14/20 is equivalent to -0.70

50% is equivalent to 0.50

68% is equivalent to 0.68

These placed from least to greatest are

-14/20, 50%, 68%, 19/25.

I hope this helped!

Help plz someone? Help!!!!

Answers

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (0, 1)

m = [tex]\frac{1-1}{0+3}[/tex] = [tex]\frac{0}{3}[/tex] = 0

Note the slope of any horizontal line parallel to the x- axis is zero

у
8
8+
7+
6+
5+
4+
3+
N
1 +
-8 -7 -6 -5 -4 -3 -2 -1
2 3 4 5 6 7 8
do NS
-4
-5+
-6
-7+
-87

Answers

Answer:

y=4

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

on the y-axis, the line is on -1

10 points
Due Toda
If a bird is flying 40 meters above sea level and a fish is 20 meters below the sea level, what is the distance between them

Answers

Answer:

60

Step-by-step explanation:

the bird is flying 40 meter above sea level and the fish is 20 meters below the sea level

which if the following is not a transformation for y=-(x+2)^2 -2?
A) all are correct
B) shift up 2
C) shift left 2
D) reflection

Answers

Its A because all is a correct answerd

If x = 1 is a zero of the polynomial 3+ kx^2 + 2 ,find the value of k.

Plz it's urgent. ​

Answers

Answer:

k = i√ 5 , -i√ 5

Step-by-step explanation:

3 + kx^2 + 2 = ?

3 + k(1)^2 + 2 = ?

5 + k(1)^2 = ?

5 + k^2 = ?

k^2 = -5

k = i√ 5 , -i√ 5

Please help and
show workings

Answers

Answer:

x=2

Step-by-step explanation:

Alright for this type of problem the line CE is proportional to line FG meaning that the length of line CE is two times the length of EG. What we want to do is set up an equation that will help us solve for x. The equation would be

18-4x=6x-7 but because line CE is two time greater than line FG we have to multiply the side of EG by 2 so the new equation is

18-4x=12x-14 Now we can began to solve

step 1 : subtract 18 to each side

-4x=12x-32

step 2; subtract 12 from each side

-16x=-32

step 3: divide each side by -16

x=2

I Hope this Helps you out a little (:

Given that f(x) = x2 – 12x + 27 and g(x) = x – 9, find (f.g)(x) and express
the result in standard form.

Answers

Step-by-step explanation:

[tex]f(x) = {x}^{2} - 12x + 27 \\ g(x) = x - 9 \\ (f \times g)(x) = ( {x}^{2} - 12x + 27)(x - 9) \\ (f \times g)(x) = {x}^{3} - 9 {x}^{2} - 12 {x}^{2} + 108x + 27x - 243 \\ (f \times g)(x) = {x}^{3} - 21 {x}^{2} + 135x - 243[/tex]

please help me please will give brainliest to anyone who is right ​

Answers

Answer:

A (?)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

if you look at the graph the area thats purple for texas is farther up it meaning the tempature is higher.

I don’t really know the answer I should be easy

Answers

Answer:

circumference is 2(pi)r

r = 36

2(3.14)(36) = 226.08

B

Step-by-step explanation:

hope this helps:)

Answer:

The distance from the center of the circle to the edge is the radius (r) which is given to be 36 feet. The formula for circumference is:

Plug in r = 36 to the formula to get:

Therefore, the circumference is 72pi.

Step-by-step explanation:

can you please answer this quick!

Answers

Answer:

a. 3*3-5

=6-5

=1

b. 3*(-2)-5

=-6-5

=-11

c. f(x)=1

or,1=3x-5

or,1+6=x

x=7

how can you represent 1000 as an exponential expression with 10 as the base

Answers

Answer:

[tex]10^{3}[/tex]

Step-by-step explanation:

Answer:

10 exponent 3 is the answer

Step-by-step explanation:

i really need this answer

Answers

Seven x plus two equals three x to the second power.

Hope this helps! Brainliest?

Solve the equation, justify each step with an algebraic property. -11 = -12+ 2x +3

Answers

Answer:

-1

Step-by-step explanation:

Given the equation :

-11 = - 12 + 2x + 3

Collect like terms

-11 + 12 - 3 = 2x

-2 = 2x

-2 /2 = 2x/2

x = - 1

Answer:

[tex]x = -1[/tex]

Step-by-step explanation:

Given the equation [tex]-11 = -12 + 2x + 3[/tex] find [tex]x[/tex]

For resolve this you have to do basic algebraic operations in both sides of the equation, as follow:

First substract -3 in both sides of the equation

[tex]-14 = -12 + 2x[/tex]

Later sum 12 in both sides of the equation

[tex]-2 = 2x[/tex]

The final  step is multiply by [tex]\frac{1}{2}[/tex] each side of the equation

[tex]-1 = x[/tex]

So the final answer is [tex]x = -1[/tex]

solve x + 4y = 14 and 3x + 3y = 15 by elimination

Answers

Answer:

you have to subtract 3y and then you do the same on the other side, then you end up with two numbers where you divide them and that will be your result

Step-by-step explanation:

Answer:

(2, 3 )

Step-by-step explanation:

Given the 2 equations

x + 4y = 14 → (1)

3x + 3y = 15 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 3x - 12y = - 42 → (3)

Add (2) and (3) term by term to eliminate x, that is

0 - 9y = - 27

- 9y = - 27 ( divide both sides by - 9 )

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (1)

x + 4(3) = 14

x + 12 = 14 ( subtract 12 from both sides )

x = 2

solution is (2, 3 )

Grace went on a road trip. She had 293 miles to drive on the first day. She was only able to drive 247.7 miles before she had to take a rest stop. What percent of the trip was she able to complete?

Answers

Answer:

84.53%

Step-by-step explanation:

total=293

completed=247.7

percentage=247.7/293. ×100%

=84.539%

Answer:

The class sociologist Max Weber formulated a three-component theory of stratification that saw political power as an interplay between “class”, “status” and “group power. ” Weber theorized that class position was determined by a person’s skills and education, rather than by their relationship to the means of production

Write -0.37 as a quotient of integers to show that it is rational

Answers

Answer:

-37/100

Step-by-step explanation:

Here, we want to write -0.37 as a quotient of integers

What we are saying is that we want to write it as a fraction of two numbers

That would be;

-0.37 = -37/100

Work Out:
3/4 + 1/8=​

Answers

I agree with the answer above :)

what is 592 .962 rounded to the nearest tenth

Answers

Answer:

593.0

Step-by-step explanation:

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

The 9 is in the tenth place, so we look to the 6 to find the answer. Since 6 is over 5, we will round up. The number after .9 is 1.0, but 1.0 cannot fit in one decimal place. So then, you add the 1.0 to the 592 to get 593.0

What is the gradient of the blue line?​

Answers

Answer:

gradient = - 5

Step-by-step explanation:

Calculate the gradient (slope) m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 1, 0) ← 2 points on the line

m = [tex]\frac{0-5}{-1+2}[/tex] = [tex]\frac{-5}{1}[/tex] = - 5

What is the quotient? StartFraction n + 3 Over 2 n minus 6 EndFraction divided by StartFraction n + 3 Over 3 n minus 9 EndFraction Two-thirds Three-halves StartFraction (n + 3) squared Over 6 (n minus 3) squared EndFraction StartFraction 6 (n minus 3) squared Over (n + 3) squared EndFraction

Answers

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given the expression:

[tex]\frac{n+3}{2n-6} \div \frac{n+3}{3n-9}[/tex]

We are to find the quotient as shown:

[tex]= \frac{n+3}{2n-6} \div \frac{n+3}{3n-9} \\\\= \frac{n+3}{2n-6} \times \frac{3n-9}{n+3} \\\\= \frac{n+3}{n+3} \times \frac{3n-9}{2n-6}\\\\= 1 \times \frac{3(n-3)}{2(n-3)}\\\\= 1 \times \frac{3}{2} \\\\= \frac{3}{2}[/tex]

Hence the correct answer is [tex]\frac{3}{2}[/tex]

Answer:

3/2

Step-by-step explanation:

3/2

find what x=______
show work pleae​

Answers

Answer:

Use pythogoras theorem

a^2+b^2=c^2

x^2=c^2-a^2

x^2=15^2-12^2

x^2=81

x= square root of 81

x=9

Step-by-step explanation:

B. If two points on a line are A(11, - 1) and B(13, 3) , what is the equation of the line in point -stope form ?

Answers

Given:

Two points on a line are A(11, - 1) and B(13, 3).

To find:

The point slope form of the line.

Solution:

Point slope form: If a line passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the point slope form of the line is

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

where, m is slope, i.e., [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex].

Two points on a line are A(11, - 1) and B(13, 3). Slope of the line is

[tex]m=\dfrac{3-(-1)}{13-11}[/tex]

[tex]m=\dfrac{3+1}{2}[/tex]

[tex]m=\dfrac{4}{2}[/tex]

[tex]m=2[/tex]

The slope of the line is 2 and it passing through (11,-1). So, the point slope form is

[tex]y-(-1)=2(x-11)[/tex]

[tex]y+1=2(x-11)[/tex]

Therefore, the required point slope form is [tex]y+1=2(x-11)[/tex].

HELLLPPPP PLEASEeeee

Answers

Answer:

the right down one

Step-by-step explanation:

because a set of parallel linear lines will not have any solutions, since they won't ever touch and intersect each other

The two lines that are not touch they are parallel

The faces of an eight-sided solid are labeled 1 through 8. Each

number has an equal chance of being rolled. Two of these solids

are rolled. What is the probability that an odd number is rolled on

both solids?

Answers

Answer:

The probability that an odd number is rolled on  both solids is [tex]\frac{1}{4}[/tex].

Step-by-step explanation:

Consider the provided information.

For the 8 sided dice the total number of outcomes = 64.

The favourable outcomes i.e odd numbers on both the solid = 16

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (1,7), (1,8)  

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (2,7), (2,8)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (3,7), (3,8)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (4,7), (4,8)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (5,7), (5,8)    

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6), (6,7), (6,8)

(7,1), (7,2), (7,3), (7,4), (7,5), (7,6), (7,7), (7,8)      

(8,1), (8,2), (8,3), (8,4), (8,5), (8,6), (8,7), (8,8)  

We know that [tex]\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}[/tex]

[tex]\text{Probability of odd on both solid}=\frac{16}{64}[/tex]

[tex]\text{Probability of odd on both solid}=\frac{1}{4}[/tex]

Hence, the probability that an odd number is rolled on  both solids is [tex]\frac{1}{4}[/tex].

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