The points (1, k) and (-6, 9) fall on a line with a slope of -2. What is the value of k?
k=

Answers

Answer 1

Answer:

k= -5

Step-by-step explanation:

The equation for slope is rise over run which is also (y2-y1)/(x2-x1)

with the given coordinate being (x,y)

So, we just plug the given values into the equation in order to solve for k.

(9-k)/(-6-1)= -2

First let's simplify the denominator:

(9-k)/(-7)= -2

then we get rid of the denominator by multiplying it on both sides:

(9-k)= (-7)*(-2)

(9-k) = 14

-k = 5

k=-5


Related Questions

Help me with this question on congruent triangles? 20 points

Answers

Answer:

a) 5.7 cm

b) 3.05 cm

Step-by-step explanation:

a)

Since BE is parallel to CD,

Then AB/AC = BE/CD

So Length of CD = 12.3/8.2 x 3.8 = 5.7 cm

b)

AB/AC = AE/AD

So length of AE = 8.2/12/3 x 9.15 = 6.1 cm

ED = AD - AE = 9.15 - 6.1 = 3.05 cm

hello, anyhelp? if anybody likes they can answer, show work

Answers

The smallest number you’ll have to break the line into to put both fractions on the number line is 40.

This is because to answer this, you need to find the common denominator. This means that only then can they be put on the same line.
The smallest number you'll have to break the
line into to put both fractions on the number
line is 40.
This is because to answer this, you need to
find the common denominator. This means
that only then can they be put on the same
line.
THANKS!

choose the name of the highlighted part.​

Answers

Answer:

B.edge it is the correct answer!

Let x be a random variable with uniform distribution on (100,200). Find the probability that x assumes a value

Answers

if your saying (100,200) on a graph then c will be 100 because first veritable is always going to be x

The probability that x assumes a value less than three standard deviations from the mean is 1.

What is uniform distribution?

The continuous uniform distribution, sometimes known as the rectangle distribution, is a family of symmetric probability distributions in probability theory and statistics.

We have:

x be a random variable with uniform distribution on (100,200).

It is required to find the probability that x assumes a value less than three standard deviations from the mean.

From the empirical rule, the data falls within three standard deviations of the mean in 99.7% of cases.

99.7% data from the (100, 200) is up to 199.7

Total number of favourable outcomes = 99.7

The probability that x assumes a value less than three standard deviations from the mean:

= 99.7/(200-100)

= 0.997 ≈ 1

Thus, the probability that x assumes a value less than three standard deviations from the mean is 1.

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Maya bought 20 ounces of nuts at the store. How much is this in pounds? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.

Answers

Answer:

1.25 pounds

Step-by-step explanation:

20 divided by 16 because 16 ounces are in a pound

Find the perimeter.
Write your answer as a fraction or as a whole or mixed number.
3
mm
4
M
3
mm
|*
mm
3
mm
Last one for today thank youu

Answers

Answer:

3mm

Step-by-step explanation:

4 (3/4)

4x3/4

=3

brainiest please

Answer:

3 mm

Step-by-step explanation:

We know,

[tex]{\longrightarrow \qquad \boldsymbol{\pmb{Perimeter_{(square)} \it=4a }}}[/tex]

Where,

a is the side length of the square. Here, a = [tex] \sf \: \dfrac{3}{4} [/tex] mm

Now, Substituting the values in the formula :

[tex]{\longrightarrow \qquad {\rm{Perimeter_{(square)} = \it4 \times \it \dfrac{3}{4} }}}[/tex]

[tex]{\longrightarrow \qquad {\rm{Perimeter_{(square)} = \it \cancel4 \times \it \dfrac{3}{ \cancel4} }}}[/tex]

[tex]{\longrightarrow \qquad {\boldsymbol {\pmb{Perimeter_{(square)} = 3 }}}}[/tex]

Therefore,

The perimeter of the square is 3 mm

A city’s population is 12,800. It is predicted that the population will increase by 3% each year.
Part a: Write a function that can be used to find the city’s population after t years.
Part b: If the city’s population, p, continues to grow 3% per year, what will the approximate population be in 15 years. Round to the nearest integer.

Answers

Answer:

18,560

Step-by-step explanation:
3 percent *12800 =

(3:100)*12800 =

(3*12800):100 =

38400:100 = 384

384*15 = 5760
12800 + 5760 = 18560

Find all real $x$ that satisfy $$(2^x - 4)^3 (4^x - 2)^3 = (4^x 2^x - 6)^3. $$

Answers

The polynomial-like expression is satisfied by the real value x = 1.

How to determine the real solution of a polynomial-like expression

In this question we must apply the concepts of logarithms and algebra properties to solve the entire expression. Initially, we expand the right part of the expression:

[tex](2^{x}-4)^{3}+(4^{x}-2)^{3} = (4^{x}+2^{x}-6)^{3}[/tex]

[tex](2^{x}-4)^{3} + (4^{x}-2)^{3} = [(2^{x}-4)+(4^{x}-2)]^{3}[/tex]

[tex](2^{x}-4)^{3}+(4^{x}-2)^{3} = (2^{x}-4)^{3}+3\cdot (2^{x}-4)^{2}\cdot (4^{x}-2)+3\cdot (2^{x}-4)\cdot (4^{x}-2)^{2}+(4^{x}-2)^{3}[/tex]

[tex]3\cdot (2^{x}-4)^{2}\cdot (4^{x}-2)+3\cdot (2^{x}-4)\cdot (4^{x}-2)^{2} = 0[/tex]

[tex]2^{x}-4 + 4^{x}-2 = 0[/tex]

[tex]2^{x}\cdot 2^{x} + 2^{x}-6 = 0[/tex]

[tex]u^{2}+u - 6 = 0[/tex]

[tex](u+3)\cdot (u-2) = 0[/tex]

Hence, the roots of the pseudopolynomial are [tex]u_{1} = -3[/tex] and [tex]u_{2} = 2[/tex]. Only the second one have a real value of x. Hence, we have the following solution:

[tex]2^{x} = 2[/tex]

[tex]x\cdot \log 2 = \log 2[/tex]

[tex]x = 1[/tex]

The polynomial-like expression is satisfied by the real value x = 1. [tex]\blacksquare[/tex]

To learn more on logarithms, we kindly invite to check this verified question: https://brainly.com/question/24211708

The path from the whales to the sharks is parallel to the path from the penguins to the stingrays. What is the distance between the penguins and the stingrays? StartFraction 81 Over 7 EndFraction feet 28 feet 45 feet 63 feet.

Answers

The distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.

What is proportional segment between parallel lines?

In two triangle in which the one side of the first triangle is parallel to the one side of the other triangle, two similar triangle formed.

Due to this similar triangle the segment formed by the parallel line are proportional segment.

The path from the whales to the sharks is parallel to the path from the penguins to the stingrays.

The map of the zoo is attached below.

The distance from whale to shark is 18 ft, and this side is parallel to the path from the penguins to the stingrays. Suppose the distance between the penguins and the stingrays is x meters.

Thus, in the given triangle, the ratio of these two sides will be equal to the ratio of their corresponding sides. Hence,

[tex]\dfrac{x}{18}=\dfrac{42}{27}\\x=\dfrac{42}{27}\times18\\x=28\rm\; ft[/tex]

Thus, the distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.

Learn more about the similar triangle here;

https://brainly.com/question/14285697

Answer:

28

Step-by-step explanation:

Did on edge 2022

The value of a vase n years after it was
made is given by this formula:
value in pounds (£) = 500 x 1.28"
=
a) What was the original value of the
vase?
b) By what percentage does the value of
the vase increase each year?

Answers

The answers are

a)640-500

b) + 28%

PLEASE I NEED HELP!!! BRAINLIEST FOR THE FASTEST ANSWER​

Answers

Hello!

[(4πr³)/3]/2

r = 7,5yd

[4 *3,14*7,5³/3]/2

=> 883, 125yds ³

The perimeter of the shape below is 24. One side is 5 in. What is the missing side?

Answers

Answer:

14

Step-by-step explanation:

5+5=10 and 7+7=14 and 14+10=24

An auto mechanic has collected $1468.63 for parts, including 6% tax. For accounting purposes, he must determine exactly how much of the total was in sales tax.

HINT: Let "x" stand for the dollar amount of the parts BEFORE tax was added. ​

Answers

Answer:To calculate the sales tax that is included in a company's receipts, divide the total amount received (for the items that are subject to sales tax) by "1 + ...

Step-by-step explanation:

if brainly doesn't let me put this question..

Answers

Answer:

8-4+9+3+6-6=36 this is my answer

what is the answer to this problem (8+2)³-6

Answers

Answer:

994

Step-by-step explanation:

(8+2) = 10

10^3 = 1000

1000 - 6 = 994

Answer:

994

Step-by-step explanation:

(8+2)³-6

10³-6

1000-6

994

Hope that helps!

PLEASE HELP 100 POINTS!!!
Identify the vertex of the function graphed below. A. (1,1) B. (2,2) C. (3,1) D. (0,-2)

Answers

Answer:

See below.

Step-by-step explanation:

The vertex is the point where it stops the arch. In this case, the answer would be (2,2).

-hope it helps

Answer:

B: (2, 2)

Step-by-step explanation:

it's the point where the parabola changes directions

Keisha cuts a 2/3 foot rope into 1/12 foot piecesz how many pieces of rope was she able to cut?

Do I divide 2/3 by 1/12?

Answers

Answer:

yes its 24/3 but reproduce is 1/8

Step-by-step explanation:

HURRY PLEASE I WILL GIVE BRAINLIEST AND LOTS OF POINTS

Answers

Answer:

[tex]m = \dfrac{3}{4} [/tex]

Step-by-step explanation:

We would like to find the slope of the line of the given equation .

[tex]\longrightarrow y =\dfrac{3}{4}x -1 [/tex]

We know that slope intercept form of the line is given by ,

[tex]\longrightarrow y = mx + c [/tex]

where ,

m is the slope c is y intercept

Now we can compare the given equation with the slope intercept form to find the slope . You will see that 3/4 is present at the place of m .Therefore ,

[tex]\longrightarrow \underline{\underline{m=\dfrac{3}{4}}} [/tex]

Hence option C is correct choice .

Answer:

C. 3/4 (third option).

Step-by-step explanation:

Use the slope-intercept formula.

Slope-intercept formula:

→ y=mx+b

The m represents the slope.The b represents the y-intercept.

So, the slope is 3/4 and y-intercept is -1.

Therefore, the correct answer is C. 3/4.

I hope this helps! Let me know if you have any questions.

what is the area of the triangle in square yards 10 3/4 yards and 7 yards

Answers

The answer isH
A=hbb
2

i dont understand???????????

Answers

Answer:

Step-by-step explanation:

We can obtain that the dimensions of the rectangle are 7 by 5.

Since A = lw, the total area is 35.

can somone help? ill give brainlist

Answers

Answer:

13.99+.75+.75=15.49

Part A ) 15.49

Part B) Anna is correct because her pizza only cost 15.49 and if you subtract 15.49 from 20 it is 14.51

Step-by-step explanation:

Help please this is complicated

Answers

Answer:

2=29

3=x?

kris kross

2x=3×29

2x=87

divide both sides by two

x=43.5

and

3=43.5

so find by this method

when filing taxes what do you need to know

Answers

Answer:

You must know all forms of additional payment and expenses, like medical bills and community expenses that can happen at any given time.

                                              ~Hope it helps~

                                                  ~Be great~

i need help with this

Answers

Answer:
Answer: (b) 5.

Step-by-step explanation:

Simple and best practice solution for (c-5)d=2 equation. ... If it's not what You are looking for type in the equation solver your own equation and let us solve it. ... 2 + 5d cd = 2 + 5d Divide each side by 'd'. c = 2d-1 + 5 Simplifying c = 2d-1 + 5 Reorder ... 11/4-t8 | | (3x^2+5x+2)+(4x^2+3x+2)= | | 4Y+7-Y=4+2Y-8 | | 10x+190=360 ...

For example, let's say with have the equation x+5 ... If we evaluate the same expression when x=10, we get 3(10)+7=30+7=37. Here's a variable expression with two variables: 3x−2y ... How do you express the phrase "a number z divided by 19" as an algebraic expression? ... How do you simplify 11c+5d−9c−9d?Let the number of cows be x and their legs be 4x. ... or, x = 7 [dividing by 2 on both sides]. ... The roots of the equation ax2 + bx + c = 0 will be reciprocal if: ... A circle of radius 10 inches has its center at the vertex C of an equilateral triangle ABC ... (a) 15, (b) 30, (c) 60, (d) 90, (e) 120. Circle Problem Answers. Answer: (b) 5.

1.) 7x+8=29
2.) 6x+6=36
3.) 7+6x=19
how do you solve these problems?

Answers

Answer:

1.) x= 3

2.) x=5

3.) x=2

Step-by-step explanation:

1) 7x+8=29

( -8). 7x=21. (-8)

(÷7). x=3. (÷7)

2). 6x+6=36

6x=30. subtract 6

x=5. divide by 6

3). 7+6x=19

6x+7=19. rearrange it

6x=12. subtract 7

x=2. divide by 6

[tex] \huge\mathbb\red{ANSWER} [/tex]

[tex] \mathsf \purple{7x + 8 = 29}[/tex]

[tex] \mathsf \pink{7x + 8 - 8 = 29 - 8}[/tex]

[tex] \mathsf \purple{7x = 21}[/tex]

[tex] \mathsf \pink{ \frac{7x}{7} = \frac{21}{7} }[/tex]

[tex] \mathsf \purple{x = 3}[/tex]

[tex] \mathsf \red{6x + 6 = 36}[/tex]

[tex] \mathsf \green{6x + 6 - 6 = 36 - 6}[/tex]

[tex] \mathsf \red{6x = 30}[/tex]

[tex] \mathsf \green{ \frac{6x}{6} = \frac{30}{6} }[/tex]

[tex] \mathsf \red{x = 5}[/tex]

[tex] \mathsf \blue{7 + 6x = 19}[/tex]

[tex] \mathsf \orange{ - 7 + 7 + 6x = 19 - 7}[/tex]

[tex] \mathsf \blue{6x = 12}[/tex]

[tex] \mathsf \orange{ \frac{6x}{6} = \frac{12}{6} }[/tex]

[tex] \mathsf \blue{x = 2}[/tex]

Help me please! I’ll give Brainliest to the right answer!

Answers

Answer:

(x,y) ---> (x+9, y+8)

Step-by-step explanation:

you simply take one point (ex point R to R^1) and count the distance from left to right/right to left which is 9 so that is your X and count up which will be your Y in this case is 8.

Simplify:
Q1) 4k – 8p + 4k - 5p

Answers

Answer:

- 13p + 8k

Step-by-step explanation:

[tex]4k-8p+4k-5p[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=-8p-5p+4k+4k[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:-8p-5p=-13p[/tex]

[tex]=-13p+4k+4k[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:4k+4k=8k[/tex]

[tex]=-13p+8k[/tex]

[RevyBreeze]

Margaret is building storage boxes. each box will have a length of 8 feet, a width of 512 feet, and a height of 412 feet. a pint of paint covers 50 square feet. how many pints of paint does margaret need to buy in order to paint 3 boxes? 7 pints 10 pints 12 pints 13 pints

Answers

The surface area of a cuboid is the area of all the six faces of a cuboid. The Paint that is required to paint 3 boxes is 13 pints.

What is the surface area of a cuboid?

The surface area of a cuboid is the area of all the six faces of a cuboid. It is given by the formula,

[tex]\rm \text{Surface area of the box}= 2[(Length \times width)+(Width \times Height)+(Length \times height)][/tex]

As it is given the dimensions of the storage box are a length of 8 feet, a width of 5 1/2 feet(5.5 feet), and a height of 4 1/2 feet(4.5 feet). Therefore, the surface area of the box can be written as,

[tex]\rm \text{Surface area of the box}= 2[(Length \times width)+(Width \times Height)+(Length \times height)][/tex]

[tex]\rm \text{Surface area of the box}= 2[(8\times 5.5)+(5.5\times 4.5)+(8 \times 4.5)] = 209.5\ ft^2[/tex]

As it is given that the surface area that can be covered with a pint of paint is 50 square feet, therefore, the paint that will be required to paint 209 square feet is,

[tex]\text{Paint Required} = \dfrac{\text{Total area that is needed to be paint}}{\text{Area covered in a pint of paint}}[/tex]

[tex]\rm \text{Paint Required} = \dfrac{209.5}{50} = 4.19\ pints[/tex]

Now, we know that the surface area of the box is 209 square feet, while the paint required to paint a complete box is 4.19, therefore, the paint that will be required to paint 3 boxes will be,

[tex]\text{Paint required to paint 3 boxes} = 3 \times 4.19 = 12.57 \approx 13[/tex]

Hence, the Paint that is required to paint 3 boxes is 13 pints.

Learn more about Surface Area of Cuboid:

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Nihkil surveyed 20 students at his middle school and 13 of them had at least one sibling. What percent of the students surveyed have at least one
sibling?

Answers

the answer is 65 percent

The students surveyed have at least one sibling are 65%.

What is percentage?

The word "per centum," which means "by the hundred," was used to create the phrase "percentage." The denominator of a percentage is 100, which are fractions. To put it another way, it is the relationship between parts and the whole, where the whole always has a value of 100.

Rate is characterized as a given part or sum in each hundred. The denominator is 100, and the symbol "%" denotes that it is a fraction.

Given total  student surveyed  = 20

students had at least one sibling = 13

percent of the students surveyed have at least one sibling =

(students had at least one sibling)/(total  student surveyed) x 100

percent of the students = 13/20 x 100

percent of the students =  65%

Hence 65% of students surveyed have at least one sibling.

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Can someone work this one out with me please

Answers

Answer:

46°

Step-by-step explanation:

Since the side mn is tangent, the angle in M is a right angle. The sum of internal angles needs to add to 180°, so subtacting you're left with 46°

Hi there!

Since MN is tangent to Circle K, we know that MK and MN are PERPENDICULAR.

Therefore, m∠M = 90°.

Since we now know two angles in the right triangle, we can solve for m∠K knowing that angles in a triangle sum up to 180°.

180° = ∠M + ∠N + ∠K

180° = 90° + 44° + ∠K


Combine like terms:
180° = 134° + ∠K

Subtract:
180° - 134° = ∠K

∠K = 46°

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