Find k so that the line through(k-1,k+2) and (4,-1) is perpendicular to the line through (-3,2) and (2,5).

Answers

Answer 1

Answer:

k = 2

Step-by-step explanation:

Perpendicular lines have slopes opposite reciprocal

Formula to find a slope:

m = (y₂-y₁)/(x₂-x₁)

Coordinates of the first line:

(k-1, k+2) and (4, -1)

Coordinates of the second line:

(-3, 2) and (2, 5)

Slopes of the lines:

m₁ = (-1 - k -2)/(4 - k + 1) = - (k + 3)/-(k -5) = (k + 3)/ (k - 5)m₂ = (5 - 2)/ (2 + 3) = 3/5

Since m₁ = - 1/m₂, we have:

(k + 3)/ (k - 5) = - 5/33(k + 3) = -5(k - 5)3k + 9 = - 5k + 253k + 5k = 25 - 98k = 16k = 2

So the answer is 2


Related Questions

h(-1) means that x is...

Answers

Answer:

-1

Step-by-step explanation:

h(x) is another way to say y. the "x" inside h(x) IS the x value

K = 4a + 9ab solve for a

Answers

Answer:

[tex]a=\frac{K}{4+9b}[/tex]

Step-by-step explanation:

[tex]K=4a+9ab[/tex]

Switch sides:

[tex]4a+9ab=K[/tex]

Factor out a:

[tex]a\left(4+9b\right)=K[/tex]

Divide both sides by: [tex](4+9b)[/tex]

[tex]\frac{a\left(4+9b\right)}{4+9b}=\frac{K}{4+9b}[/tex]

[tex]a=\frac{K}{4+9b}[/tex]

Can someone please help? This is due today, and I have NO CLUE

Answers

Step-by-step explanation:

Multiplication......

HELP PLS WILL GIVE BRAINLISTE

Answers

Answer: D and J

Step-by-step explanation:

Subtract 17.56 from both sides and divide by 5 to get the answer of D. 2.52

3x + 6 = 9

subtract 6 from both sides

3x = 3

x = 1

2d + 3 ≤ –11 or 3d – 9 > 15?

Answers

Answer:  d≤-7 and d>8

Step-by-step explanation:

3d - 9 >15 answer is d>8 and 2d + 3 ≤ -11 is d≤-7

-5x - 2y = 13
-4x + y = 0
Solve by substation

Answers

Answer:

(x,y)=(-1,-4)

Step-by-step explanation:

-4x + y = 0

+4x         +4x

y=4x

-5x - 2y = 13

+5x          +5x

-2y = 5x+13

-2(4x) = 5x+13

-8x=5x+13

-5x -5x

-13x/-13=13/-13

x=-1

Thus:

y=4x

y=4(-1)

y=-4

X- (-12)=25

( FIND X)

Answers

Step-by-step explanation:

X- (-12)=25

X+12=25

X=25-12

X=13

please mark as brainliest

Which graph correctly shows the solution of the compound inequality 3x 2 -12 and 8x < 16?

Answers

Answer:

8x < 16 it shows the solution of the compound inequality

The area common to both the graph inequalities represent the solution set.

What is inequality? Differentiate between equation and expression?  inequality : An inequality is used to make unequal comparisons between two expressions or numbers.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is the compound inequality as -

3x > -12

and

8x < 16

Refer to the graph of the inequalities attached. The area common to both the graphs represent the solution set.

Therefore, the area common to both the graph inequalities represent the solution set.

To solve more questions on inequality, visit the link below -

brainly.com/question/14610360

#SPJ2

The Unit Rate is when both units in a rate are equal to each other (ie. 5 cats : 5 dogs)
True
False

Answers

Answer:

False

Step-by-step explanation:

Unit Rate Definitions Unit rate is used to compare quantities in which the second quantity is one. Common examples of unit rate would include, miles per hour earnings per hour cost per gallon.

How much of something per 1 unit of something else. Examples: • 100 cars pass by in 2 hours. The unit rate is 50 cars per hour.

Answer:

False

Step-by-step explanation:

it could be 5 cats : 6 dogs.

Unit rates can be unequal too.

What is the value of the expression?
-16+ 12
-28
-4
4
28

Answers

The answer to this question would be twenty eight

Answer:

-4 is the corect answer because when your adding integers depending if your number is negative or positive your sum will either go right or left up or down

Step-by-step explanation:

as shown with the attached file

SOLVE ATTACHMENT PLEASE!!!!!!!

Answers

Answer:

[tex]B=\frac{h+D^{2}5g}{D^{2} }[/tex]

Step-by-step explanation:

h = D²(B - 5g)

h = D²B - D²5g

h + D²5g = D²B

B = (h + D²5g)/D²

Algebra 1- 10 pts
Solve for t.

−4t≤48

Enter your answer as an inequality

Answers

The answer for this problem is t ≥ - 12

what is 4(3x+5) i need help

Answers

Answer:

As an equation its 12x+20

Step-by-step explanation:

You would distribute 4(3x+5) by multiplying 4 by 3x and 4 by 5. That gets you 12x+20

Name the subset(s) of real numbers to which each number belongs. Then order
the numbers from least to greatest.
9
10.-11.16

Answers

Answer:9,10,11,16

Step-by-step explanation:

9 is the least then 10 then 11 16 is the greatest

Marco walked 27/100 kilometer to the park. then he walked 3/10 kilometer to the library. What fraction of a kilometer did he walk in all?

Answers

Answer:57/100

Step-by-step explanation:

First, convert 3/10 into hundreths to get a denominator equal to the other:

3/10 km = 30/100km

Add the numerators: 27+30=57

Place numerator over common denominator: 57/100

The ceiling in Mitchell’s bedroom measures 12 feet by 10 feet 11 inches. What’s the total area of the ceiling in square inches?

Answers

Answer: 12x10x11 I think so 1320

Step-by-step explanation:

The total area of the ceiling is 18864 inches^2

Solve y = x + 8 for x.

Answers

y = x + 8

Subtract 8 from both sides

y - 8 = x

Answer:

x= y-8

Step-by-step explanation:

Hope this helps.

A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new position?**

Answers

Answer:
The new position of submarine is 550 feet below the sea level.
Given:
A submarine is located at 800 feet below sea level (i.e) if x is considered as the sea level, then it is located at x - 800. The submarine ascends 250 feet, (i.e) its new position is increased by 250 feet from its previous position, then its new position becomes 800 - 250 = 550 feet. Hence the new position of submarine is located at 550 feet below sea level, x.

Answer:

650

Step-by-step explanation:

800-250=650

It's like taking a negative number and adding a positive number to it

(HIGH POINTS) help urgently please!!!!

Answers

Answer:

its blurry the photo

Step-by-step explanation:

Answer:

67/24

Step-by-step explanation:

Remember PEMDAS

First you solve the parenthesis which is 11/12.

Then do exponents 2^4=16

For division do left to right so 2/3 ÷ 16 = 1/24

and the other division is 11/12 ÷ 1/3 = 11/4

Add the two 1/24 + 11/4 = 67/24

67/24 is the answer

Hope this helps

7) Line Segment PR is 5 ft. Find the length of Line Segment PQ and QR. (Hint: use the segment addition postulate.)

Answers

Answer:

PQ = 1 ft

QR = 4 ft

Step-by-step explanation:

From the picture attached,

Segment PR has been divided into two parts by a point Q.

Length of segment PR = 5 feet

Length of segment PQ = (15x - 2) ft

Length of segment QR = (5x + 3) ft

Since, PR = PQ + QR

5 = (15x - 2) + (5x + 3)

5 = 20x + 1

20x = 4

x = [tex]\frac{4}{20}[/tex]

x = 0.2

PQ = 15x - 2

     = 15(0.2) - 2

     = 3 - 2

     = 1 ft

QR = 5x + 3

     = 5(0.2) + 3

     = 1 + 3

     = 4 ft

-7/2 x 1/6 (make it a fraction) (simplified)

Answers

Answer:

The answer would be -7/12

Step-by-step explanation:

What you would do is

a/b×c/d=ac/bd

this would be the formula

so what you would do is -7 (which is the numerator X the other numerator which equals -7 times 1= -7

then you would do 2 X6= which is 12 so the answer would be 7/12 because you can't simplify it anymore

What is 4 less than three sevenths of y

Answers

Answer:

[tex]\frac{3}{7}y - 4[/tex]

Step-by-step explanation:

Let's start with the part "three sevenths of y". In this statement, "of" means multiply or times. So, let's apply that. It would now be three sevenths times y. Three sevenths times y looks like this: 3/7y"4 less than" means subtraction because less than means subtractions. So our first part is 3/7y. Now let's add less 4 less than: 3/7y - 4.

I hope this helps!

HELP PLEASE! IM STUCK!

Answers

Answer:

D

Step-by-step explanation:

Which of the following expressions is equal to 1 divided by 16

Answers

Answer: 21

Step-by-step explanation:

please answer the problem below

Answers

Answer:

d) m<ADC=44°

Step-by-step explanation:

7x-19=9x-37

-19+37=9x-7

18=2x

x=9

m<ADC=9x-37=9(9)-37=81-37=44

Step-by-step explanation:

Your answer would be D) 44°

can yall pls help me im kinda dumb

Answers

The answer is D.

Turning fractions into decimals will help you eliminate answers!!

How I got D:

-2 3/4 can be turned into -2.75 by dividing 3/4.

-2 3/4 is the smallest number out of all of them so it has to be first.

-2.67 is the second smallest value.

3/5 is .60 making it the third smallest value.

4 is the second largest value.

17/4 is 4.25, which is the largest.

A is not correct because -3/5 is not the smallest number.

B Is not correct because the largest number is 17/4.

C is not correct because -2.67 is not the smallest number.

Yolanda is buying supplies for school. She buys n packages of pencils at 1.40 per package and m pads of paper at 1.20 each. What does the term in the expression 1.4n + 1.2m represent? What does the entire expression represent?

Answers

The entire expression represents how many packages of pencils and pads of paper bought.

Ella works in the produce section at a grocery store. The store receives a shipment of green
and red apples that weighs 20.4 pounds in total. Ella separates the green and red apples into
bins by color. If red apples make up of the shipment by weight, how many pounds of
apples are green?
4

Answers

Answer:

74 is the answer please mark me as brainlist and also follow me

what is the value of (5.3x10^4)(4.2x10^3)l

Answers

Answer:

scientific notation = 2.226 * 10^8

Standard form = 222600000

As it is 22.26 * 10^7

Step-by-step explanation:

(5.3x10^4)(4.2x10^3)

Since all the numbers are being multiplied by each other, one can use the associative property to change the order in which they are multiplied.

5.3 x 10^4 x 4.2 x 10^3

= 5.3 * 4.2 * 10^4 * 10^3

= 22.26 * 10^7

Either convert back to scientific notation, standard form or keep as it is.

scientific notation = 2.226 * 10^8

Standard form = 222600000

As it is 22.26 * 10^7

Pleaseeee help !! I made this a 50 point question

Answers

The angle "b" and the angle "d" are both the same angle measure. In other words, they are opposite angles that share the black dot in the middle. Angle "a" and angle "c" are both opposite angles which make them the same. They can also be called congruent angles. Even if they are facing a different direction, they are the same.

Therefore, the answer is 130 degrees

Best of Luck!

answer:

130 degrees

explanation:

the angles "a" & "c" are opposite (also called congruent) so they are the same.

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