Find the value of K so that line passing through the points (k,-1) and (-2,8) is parallel to the equation 3x+y=-7

Answers

Answer 1

Answer:

k =1

Step-by-step explanation:

3x + y = -7

      y = -3x - 7

m = -3

Parallel lines have same slope

[tex]Slope = -3\\\\\dfrac{8-[-1]}{-2-k}=-3\\\\\\\dfrac{8+1}{-2-k}=-3\\\\\dfrac{9}{-2-k} = -3[/tex]

Cross multiply,

9 = -3(-2-k)

9 = 6 + 3k

9-6 = 3k

3 = 3k

3/3 = k

k = 1


Related Questions

fraction and percent word problem

From 2012 to 2014, the cost of limes fell by 20%. Farmers increased the cost of limes by 20% from 2012 to 2013. How much did the cost fall from 2013 to 2014, after the farmers were removed?

(A) 20%
(B) 33.3%
(C) 50%
(D) 66.6%
(E) 80%

Answers

Answer:

Step-by-step explanation:

Ruth bought two watermelons. The first watermelon was 21.6 pounds, and the second watermelon was 9.07 pounds. How many pounds of watermelon did Ruth buy?

pounds

Juan spent $2.50 on apples and oranges. He bought 5 apples at $0.36 each. What is the most he spent on the oranges?Please this is for my homework

Answers

Answer:

$0.70

Step-by-step explanation:

5 × $0.36 = $1.80

$2.50 - $1.80 = $0.70

I hope this helped!

how many yards are there in 2 miles

Answers

Answer: 3520

please give brainliest

Step-by-step explanation:

Answer:

3,520 miles in a Yard.

Step-by-step explanation:

WILL GIVE BRAINLIEST AND I SWEAR TO GOD IF ONE MORE BOT ANSWERS AND MAKES IT TO WHERE NO ONE ELSE CAN ANSWER


One challenge of federalism is that

power and authority are concentrated in the central government and can take away people’s rights
sometimes officials from different levels of government disagree on who should be in charge of a situation
local governments have the most power, which creates problems for trade with other nations
officials from state governments have too many rules to follow to be effective leaders

Answers

Answer:

local governments have the most power

Step-by-step explanation:

I hope this is right, but federalism gives more power to the state, so local governments could potentially have more power.

Answer:

i believe it is option one: power and authority are concentrated in the central government and can take away people’s rights

Step-by-step explanation: well i mean its true the governments are corrupted and are slowly taking away our rights

The graph shows the savings in Andre's bank account. What is the slope of the line?

Answers

Answer:

m=5

Step-by-step explanation:

you have to use the formula y2-y1/x2-x1.

y2= 60

y1= 40

60- 40= 20

x2= 4

x1= 0

4-0= 4

20/4= 5

hope this helps

Please help!!!!!!!!!!!!!!!

Answers

Answer:

Y+5=2/3(x-4)

Step-by-step explanation:

since the slope is 2/3, it should be in the right side of the equal sign, its passing thru (4,-5) thus it being Y+5=2/3(x-4)

The image point of A after a translation right 4 units and down 2 units is the point B(4,−5). Determine the coordinates of the pre-image point A.

Answers

Answer:

THE ANSWER

Step-by-step explanation:

Hope it helps❤️

Answer:

(0, -3)

Step-by-step explanation:

Simplify 9 - 3(5-4x)

Answers

Answer:

12x-6

Step-by-step explanation:

9-3(5-4x) distribute

9-15+12x subtract

-6+12x rearrange

12x-6

Find the surface area of a cube
with side length 8.5 cm.

Answers

Answer:   433.5 square cm

=========================================================

Explanation:

A cube has 6 identical faces, all of which are squares.

Each square has a side length of 8.5 cm, so its area is (8.5)^2 = 72.25 sq cm.

The overall surface area, aka the area of all 6 faces combined, is 6*72.25 = 433.5 square cm

Answer:

A=433.5cm²

Step-by-step explanation:

A=6a2=6·8.52=433.5cm²

(1,-1) (5,-7 find the slope

Answers

Answer:

m=-2

Step-by-step explanation:

m=-8/5-(1)

m=-8/4

divided -8 by 4

m=-2

Answer:

m=-2

Step-by-step explanation:

I need help with this question

Answers

Answer:

make the image bigger then I will answer

Step-by-step explanation:

If x= - 2 is a solution to the equation f(x) = g(x), which one of these statements must be true?
• The graphs of f and g intersect each other at x = -2
• The graphs of f and g intersect each other at x = 2
• The graphs of f and g intersect the x-axis at -2
• The graphs of f and g intersect at the y-axis at -2

Answers

Answer:

The graphs of f and g intersect eachother at x = -2

Step-by-step explanation:

A solution to a system of equations or functions is the intersection point of them

2 times a number less 4 is 20

Answers

Answer:

68?

Step-by-step explanation:

Answer:

The answer is 8

Step-by-step explanation:

Let the number be x

4x- 12=20 (12 less than 4 times a number is 20)

4x= 20 +12

4x=32

x=8

Hope this helps!!

helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

2/1 or 20/10

Step-by-step explanation:

the line moves up 2 times every 1 time it moves right.

45 divided by 855 show your work!

Answers

Answer:

45 divided by 855 is a very odd number however 855 divided by 54 is 19 ... because 45 multiply by 19 is 855

The answer is 19. You can use long division or a calculator.

How do I solve
-3x+y=24
-2x=+18+5y

Answers

Answer:

Let's solve by eliminating x. Since 18 is the lowest common multiple , let's multiply the first equation by 3 and the second by -2.

18x−21y=24

−18x+10y=−2

Add the two equations.

−11y=22

Divide by -11 to isolate y.

y=−2

Substitute y=−2 into either of the 2 equations, I'll just use the second one.

9x+10=1

9x=−9

x=−1

Step-by-step explanation: that is your anwser

the midpoint of (3 x, -2) and (-4, 5y) is (1,4). find x, -y​

Answers

Answer:

(x,-y): (2,-2)

Step-by-step explanation:

M=(x+x)/2,(y+y)/2

Given (1,4)=

[tex] \frac{3x - 4}{2} [/tex]

This implies:

[tex]1 = \frac{3x - 4}{2} [/tex]

[tex]3x - 4 = 2 \\ 3x = 2 + 4 \\ \frac{3x }{3} = \frac{6}{3} \\ x = 2[/tex]

In a similar way,

[tex]4 = \frac{ - 2 + 5y}{2} \\ - 2 + 5y = 8 \\ 5y = 10 \\ y = 2[/tex]

The question demanded (x,-y)

Hence(2,-2) is the answer

I need it asap thanks

Answers

Answer:

Point-slope form: y - 3 = -6/5 (x + 5)

Slope-intercept form: y = -6/5x - 3

what is the sum of 25.234 and 14.454

Answers

Answer :

What is the sum of 25.234 and 14.454

25.234

14.454

_______ +

39.688

25.234 + 14.454 = 39.688 ✔️

2. The electrical resistance R of a wire varies inversely with the square of its diameter d. If a wire with a

diameter of 3 millimeters has a resistance of 0.4 ohm, find the resistance of a wire having the same

length and a diameter of 8 millimeters.

Answers

Answer:

[tex]0.225 \Omega =225 m\Omega[/tex]

Step-by-step explanation:

We know (Ohm second law) that [tex]R= \frac{k}{d^2}[/tex] where k inlcudes the rest of the parameters (material, lenght). In our situation we have k= [tex]0.4\cdot9 \Omega mm^2[/tex]. The moment the diameter becomes 8mm R becomes

[tex]R= {{0.4\cdot 9}\over{16}} \Omega = 0.225 \Omega[/tex]

HELP ASAP!!!!!!
I need help with the slope

Answers

Answer:

2/3

Step-by-step explanation:

3. About 31% of the people who come to the park bring a dog. One third of people who come to the park
exercise. Which group of people represents a larger percent of the people coming to the park

Answers

Let all people be 100%

Now

People bring dog=31%

1/3rd of people

[tex]\\ \sf\longmapsto 100/3=33.3\%[/tex]

Second group people has larger percentage

5 times the difference of a number and 2

Answers

Answer: 3.3

Step-by-step explanation: 5 divided by 3 x 2 = 3.3

using continuous division, fill on the correct information in each blank . ​

Answers

Answer:

Step-by-step explanation:

Divide.

1.61÷0.35

Enter your answer in the box.

Answers

4.6 is the answer to your question

what is x(14+2)5 please help me​

Answers

Answer: 80x

Step-by-step explanation:

1. add the numbers 14+2=16 (=x(16)(5)_)

2. Multiply the numbers 16(5) = 80 (=X(80) = 80X)

You rent an apartment that costs \$800$800 per month during the first year, but the rent is set to go up 9.5% per year. What would be the rent of the apartment during the 9th year of living in the apartment? Round to the nearest tenth (if necessary).\
Pls help I'm dying here

Answers

Answer:

Monthly rent for Year 9: $1,653.5

Total cost of rent for the whole 9th year: $19,841.9

Step-by-step explanation:

Given the monthly rent of $800 for an aparment, for which it is set to increase by 9.5% annually:

Increase in the Monthly Cost of RentYear 1:

The monthly rent will stay at $800 for the first year.  

Year 2:

For year 2, we must add the 9.5% increase in the monthly rent. In order to determine the 9.5%, simply multiply the monthly rent by 0.095 (the decimal equivalent of 9.5%), then add the product to the monthly rent in year 1 of $800.

9.5% increase for Year 2:  $800 × 0.095 = $76

Monthly rent in Year 2:  $800 + $76 = $876

Year 3:

For year 3, we must add the 9.5% increase in the monthly rent from Year 2 ($876).  

9.5% increase for Year 3:  $876 × 0.095 = $83.22

Monthly rent in Year 3:  $876 +  $83.22 = $959.22

Year 4:

For year 4, we must add the 9.5% increase in the monthly rent from Year 3 ($959.22).  

9.5% increase for Year 4:  $959.22 × 0.095 = $91.13

Monthly rent in Year 4: $959.22 +   $91.13 = $1,050.35

Year 5:

For year 4, we must add the 9.5% increase in the monthly rent from Year 4 ($1,050.35).  

9.5% increase for Year 5:  $1,050.35 × 0.095 = $99.78

Monthly rent in Year 5: $1,050.35 + $99.78 = $1,150.13

Year 6:

9.5% increase for Year 6:  $1,150.13 × 0.095 = $109.26

Monthly rent in Year 6:  $1,150.13 + $109.26 = $1,259.39

Year 7:

9.5% increase for Year 7:  $1,259.39 × 0.095 = $119.64

Monthly rent in Year 7:  $1,259.39 + $119.64 = $1,379.03

Year 8:

9.5% increase for Year 8:  $1,379.03  × 0.095 = $131.00

Monthly rent in Year 8:  $1,379.03 + $131.00 = $1,510.04

Year 9:

9.5% increase for Year 9:  $1,510.04  × 0.095 = $143.45

Monthly rent in Year 9:  $1,510.04 + $143.45 = $1,653.50

Yearly Cost of Rent:

In order to determine the yearly cost of renting an apartment, simply multiply  monthly rent by 12. In other words:

Year 1: $800 × 12 = $9600

Year 2: $876 × 12 = $10,512

Year 3: $959.22 × 12 = $11,510.64

Year 4: $1,050.35 × 12 = $12,604.15

Year 5: $1,150.13 × 12 = $13,801.55

Year 6: $1,259.39 × 12 = $15,112.69

Year 7: $1,379.03 × 12 = $16,548.40

Year 8: $1,510.04 × 12 = $18,120.50

Year 9: $1,653.50 × 12 = $19,841.94

Therefore, due to the 9.5% annual increase in rent, the monthly cost of an apartment during the 9th year is $1,653.5, or $19,841.9 (12-months' worth of rent).

10 to the 2 power in fraction form

Answers

Answer

5

to per power

Step-by-step explanation:

Convert to a decimal by dividing the numerator by the denominator.

Hey there!

10^2

= 10 * 10

= 100

Therefore, your answer should be: 100

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

I will give brainliest

Answers

Answer:

y=-1/2x+2

Step-by-step explanation:

2 = 0 +b

2=b

y=-1/2x+2

Answer:

y = -1/2x + 2

Step-by-step explanation:

Follow the y = mx + b. B stands for the y-intercept, which is 2 in this case. M stands for the slope, which is the constant -1/2. Pls brainliest i want to level up ty!!!!!

Help with this problem pls!

Answers

Answer:

uh.. shii i dont know

Step-by-step explanation:

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