What is the equation of the line that is perpendicular to
the given line and passes through the point (3, 0)?
J(-3,2)
(30)
O 3x + 5y = -9
O 3x + 5y = 9
5x - 3y = -15
O 5x - 3y = 15
54 -3 -2 -1
|(2,71)
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Answers

Answer 1

Answer:

[tex]y + x = 3[/tex]

Step-by-step explanation:

The question is poorly formatted. However, I will take the parameters as follows:

Given

Perpendicular to: J(-3,2) and L(2,7)

Passes through: (3,0)

Required

Write an equation for the line

First, calculate the slope (m) of JL

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

[tex]m = \frac{7-2}{2+3}[/tex]

[tex]m = \frac{5}{5}[/tex]

[tex]m = 1[/tex]

Since the line is perpendicula4 to JL, the slope is:

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

[tex]m_2 = -\frac{1}{1}[/tex]

[tex]m_2 = -1[/tex]

The equation is then calculated using:

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

[tex]y - 0 = -1(x - 3)[/tex]

[tex]y - 0 = -x + 3[/tex]

[tex]y = -x + 3[/tex]

[tex]y + x = 3[/tex]


Related Questions

What are the coordinates of point F?

On a coordinate plane, point F is 4 units to the right and 2.5 units down.
(Negative 4, Negative 2 and one-half)
(Negative 4, 2 and one-half)
(4, negative 2 and one-half)
(4, 2 and one-half)

Answers

Answer:

Step-by-step explanation:

(4,-2.5)

Answer:

(4, -2.5)

Step-by-step explanation:

one number is 5 times another number.their sum is 90.find the numbers.​

Answers

Step-by-step explanation:

let both unknowns be x and y

x = 5y. ......(1)

x + y = 90. ......(2)

sub eqn (1) into eqn (2)

5y + y = 90

6y = 90

y = 90/6

= 15

sub y = 15 to eqn (1)

x = 5y

x = 5 × 15

× = 75

In a​ company, ​65% of the workers are women. If 1820 people work for the company who​ are men, how many workers are there in​ all?

Answers

Answer:

women=x=65%

so men=100-65=35%=1820

let total workers be y

atq....y×35/100=1820=y=5200workers

The word " _____ " in a word problem probably indicates you may estimate an answer.

Answers

Answer:

"in an average of" / "approximately"

Step-by-step explanation:

these clue words do not hold any definite value. therefore, it can be used for estimating.

Pls awnser this question I will give brainliest pls

Answers

The correct answer is H

108,930,000 in scientific notation

Answers

Answer:

the answer is 1.0893×10 it is now in scientific notation

Answer:

1.0893 x 10^8

Step-by-step explanation:

you just use the number with highest place value as first and out every other number after the decimal or point and use x 10 to the power of however much place values you went back by (just count every spot in between the number I gave you and the number you gave me, it will be 8 I think)

Please help. Pretty easy, due in 1 hour. I only have 2 points left. I will give brainliest.

Answers

Answer:

The slope is 1/2

2 + 2 = ? :v and 1 + 1 = ? :v​

Answers

Answer:

4 and 2 #respectfully

Step-by-step explanation:

Answer:

2+2=4. and 1+1=2 ......... :)

. Given that r satisfies the inequality 20.x > 33,
find the smallest value of x if .r is a prime number.​

Answers

Answer: x = 2.

Step-by-step explanation:

By an online search, i found that the question is:

"Given that x satisfies the inequality 20*x > 33,  find the smallest value of x if x is a prime number."

To find the smallest value of x we need to input different possible values of x (where we have the condition that x must be a prime number) and see which one is the first one that makes the inequality true.

The prime numbers are:

2, 3, 5, ....

Let's start with the smaller one, x = 2

So we input it in the inequality and get:

20*2 > 33

40 > 33

this is true.

Then we can have x = 2, which is the smaller prime number that satisfies the inequality.

Given the data below, what is the median?
2, 4, 7, 4, 3, 1, 6, 8, 10, 15, 12, 22, 12, 15, 11

Answers

Answer:

8

Step-by-step explanation:

The numbers in order

1, 2, 3,4,4,6,7,[8,]10,11,12,12,15,15,22

8 is the median, hopes this helps

50 POINTS FIRST GOOD ANSWER GETS BRAINLIEST
Express f(x)=3+|2x-5| as a piecewise function WITHOUT using absolute value
Please give a detailed response not just answer to help me understand

Answers

Answer:

[tex]f(x)=3+|2x-5|=\left\{ \begin{array}{ll} 2x-2& \quad x \geq 5/2 \\ -2x+8 & \quad x < 5/2 \end{array} \right.[/tex]

Step-by-step explanation:

We are given the function:

[tex]f(x)=3+|2x-5|[/tex]

Remember that by the definition of absolute value:

[tex]\displaystyle |x|= \left\{ \begin{array}{ll} x & \quad x \geq 0 \\ - x & \quad x < 0 \end{array} \right.[/tex]

Our absolute value is:

[tex]|2x-5|[/tex]

First, we will find when it becomes 0. Set the equation equal to 0:

[tex]2x-5=0[/tex]

Solve for x:

[tex]x=5/2[/tex]

So, we can see that for all values greater than x = 5/2, 2x - 5 is positive.

For all values less than x = 5/2, 2x - 5 is negative.

Therefore (the positive case go above, and the negative case go below):

[tex]|2x-5|= \left\{ \begin{array}{ll} 2x-5 & \quad x \geq 5/2 \\ -(2x-5) & \quad x < 5/2 \end{array} \right.[/tex]

Finally, we can add a three:

[tex]f(x)=3+|2x-5|=\left\{ \begin{array}{ll} 3+(2x-5) & \quad x \geq 5/2 \\ 3+(-(2x-5)) & \quad x < 5/2 \end{array} \right.[/tex]

Simplify if desired:

[tex]f(x)=3+|2x-5|=\left\{ \begin{array}{ll} 2x-2& \quad x \geq 5/2 \\ -2x+8 & \quad x < 5/2 \end{array} \right.[/tex]

the length of the rectangle is 7 cm less than 4 times its width the area is 15 square cm

Answers

Answer:

I guess the answer is 4.4 cm or 22/5 cm

Step-by-step explanation:

AREA= 15cm^2

Let the Breadth be x

Length= 4x-7

Area = l×b

15 = 4x-7×x

15+7=4x+x

22=5x

22÷5=x

4.4=x

Therefore, Breadth= 4.4cm Length= 10.6cm

PLZ MARK ME AS BRAINLIEST

Bradley's Copiers sells and repairs photocopy machines. The manager needs weekly forecasts of service calls so that he can schedule service personnel. Use the actual demand in the first period for the forecast for the first week so error measurement begins in the second week. The manager uses exponential smoothing with a = 0.1. Forecast the number of calls for week 6, which is next week.
Week Actual Service Calls 2
1 8
2 34
3 38
4 27
5 25
The forecast for week 6 is ________ service calls.

Answers

Answer:

28.86

Step-by-step explanation:

According to the scenario, computation of given data are as follows,

Exponential smoothing a = 0.1

we can calculate forecast for each week by using following formula,

Forecast for week = Forecast of last week + a × ( actual calls of last week - forecast of last week)

By using this method, forecast for all week are as follows

Week            Actual calls                Forecast                     Calculation

1                        28                               28

2                       34                               28                    [28 + 0.1 × ( 28 - 28)]

3                       38                               28.60              [28 + 0.1 × ( 34 - 28)]

4                       27                               29.54              [28.6 + 0.1 × ( 38 - 28.6)]

5                       25                              29.29               [29.54 + 0.1 × ( 29 - 29.54)]

6.                                                         28.86             [29.29 + 0.1 × ( 25 - 29.29)]

X=5y +2 X-4y=5
What is the x and the y

Answers

Answer:

x=17 y=3

Step-by-step explanation:

x=5y+2

(5y+2)-4y=5

5y+2-4y=5

y=3

x=5(3)+2

x=17

joan grew a plant from a seedling the seedling was 3/8 inch tall when she planted it one week later the plant was 7/8 inch tall how much did the plant grow in that week

Answers

Answer:

4/8 or 1/2

Step-by-step explanation:

7/8-3/8= 4/8 or 1/2 because 4 is half of 8

Reflected across the y-axis, translated down 5 units

Answers

Answer:

7y and 7 5x

Step-by-step explanation:

7y and 7x is diffrentOK

Triangle E F G. Angle E is 29 degrees, F is 88 degrees, G is 63 degrees. Triangle K L J. Angle K is 63 degrees, L is 29 degrees, J is 88 degrees. Which similarity statement expresses the relationship between the two triangles?

Answers

Answer:

Triangle F G E is similar to Triangle J K L

Step-by-step explanation:

I AM A GOAT

Answer:

F G E  J K L

Step-by-step explanation:

Find the distance between (4,5) and (-5,2).

Answers

Answer:

3√10

Step-by-step explanation:

36 is the anwser xxxxxxxxxxxxx

¡Hello!
•ayuda please •
is important
estoy aprendiendo Español ☆☆☆☆☆
ayúdenme porfis, al menos♧ la primera operación ♧​

Answers

Answer:

Step-by-step explanation:

number 2= 2 (rounded)

same thing for 1

Step-by-step explanation:

djhdjdndnsnxjjxnxjxjxjxkdjjfjfjfk

simplify 14x - 3x + 2y - y + 3x.

Answers

Answer:

14x + y

Step-by-step explanation:

14x - 3x + 2y - y + 3x | Given

14x + 2y - y | Combine like-terms (add the x's)

14x + y | Combine like-terms (subtract the y's)

-8x is less than or equal to 32
What is the inequalities that are possible.

Answers

Answer:

We conclude that:

[tex]-8x\le \:32\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:[-4,\:\infty \:)\end{bmatrix}[/tex]

The solution graph on the number line is also attached.

Step-by-step explanation:

Given the inequality

[tex]-8x\:\le 32[/tex]

Solving the inequality

[tex]-8x\:\le 32[/tex]

Multiply both sides by -1 (reverse the inequality)

[tex]\left(-8x\right)\left(-1\right)\ge \:32\left(-1\right)[/tex]

Simplify

[tex]8x\ge \:-32[/tex]

Divide both sides by 8

[tex]\frac{8x}{8}\ge \frac{-32}{8}[/tex]

Simplify

[tex]x\ge \:-4[/tex]

Therefore, we conclude that:

[tex]-8x\le \:32\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:[-4,\:\infty \:)\end{bmatrix}[/tex]

The solution graph on the number line is also attached.

Last year at a certain high school, there were 50 boys on the honor roll and 120 girls on the honor roll. This year, the number of boys on the honor roll increased by 22% and the number of girls on the honor roll increased by 15%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).

Answers

Answer:

1.6

Step-by-step explanation:

divided 22% and 15%

Gabriella made 36 cookies. She gave away 28 cookies. Use the equation 28 + c = 36 to find c, the number of cookies she kept.

Answers

c=8

Hope it helps Hve a nice day

Answer:

c=8

Step-by-step explanation:

[tex]28+c=36\\ 36-28=8\\ c=8[/tex]

For a large order, Mr. Magoo made 3/8 kg of fudge in his bakery. He then got 1/6 kg from his sister’s bakery. If he needs a total of 1 1/2 kg, how much more fudge does he need to make? Put your answer in fraction form. Example: Mr. Magoo needs to make #/# more fudge.


(PS: Please show your work)

Answers

Answer:

Amount fudge he needs = 23/24 kg

Step-by-step explanation:

Given:

Total fudge wants = 1[tex]\frac{1}{2}[/tex] = 3/2 kg

His sister gave = 1/6 kg

He make = 3/8 kg

Find:

Amount fudge he needs

Computation:

Amount fudge he needs = Total fudge wants - His sister gave - He make

Amount fudge he needs = 3/2 - 1/6 - 3/8

Amount fudge he needs = 23/24 kg

The diameter of a quarter is 23.9 mm. Find the circumference.

Answers

i think the circumference is 75.04, because:

the formula for radius when you only have the diameter is d / 2, so:

23.9 / 2
= 11.95

now that we have our radius, the formula for circumference is:

2 x r x π
so,

2 x 11.95 x 3.14 = 75.04

...at least that’s what i got.

If H=straight hair and h=curly hair, what kind of hair will someone who is By have?

1.) Straight
2.) Curly
3.) Both​

Answers

Answer:

both

Step-by-step explanation:

Answer:  

3.) both

Step-by-step explanation:

please give me brainliest

Have a great day

5(2i+4) - i = 38
distributive property

Answers

9514 1404 393

Answer:

  i = 2

Step-by-step explanation:

The outside factor multiplies each term in parentheses.

  5(2i +4) -i = 38

  10i +20 -i = 38 . . . . eliminate parentheses

  9i +20 = 38 . . . . . . collect terms

  9i = 18 . . . . . . . . . . subtract 20

  i = 2 . . . . . . . . . . . . divide by 9

Elsa, Chang, and Bob have a total of 104 in their wallets. Chang has 3 times what Bob has. Elsa has 6 more than Bob. How much does each have?

Answers

Answer:

Bob=19.60

Elsa=25.60

Chang=58.80

Step-by-step explanation:

(E)lsa + (C)hang + (B)ob=104

C=3B

E=B+6

substitute

(B+6)+3B+B=104

5B+6=104

5B=98

5B/5=98/5

B=19.60

E=19.60+6=25.60

C=3(19.60)=58.80

Write the fraction as a product of a whole number and a unit fraction 10/9

Answers

Answer:

1 1/9

Step-by-step explanation:

the whole number is 1, and the unit fraction is 1/9.

Answer:

It’s 1.1111= 1 1/9

Step-by-step explanation:

1 whole number

1/9 unit fraction :)

A. 90.4 ft2

B. 234 ft2

C. 180.8 ft2

D. 117 ft2

Answers

It’s definitely B i can guarantee that rn
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