The points (0,k) and (1,4) fall on a line with a slope of 9. What is the value of k?

Answers

Answer 1

Answer:

k = -5

Step-by-step explanation:

Slope of a line is given by


[tex]\dfrac{y_2 - y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are two points on the line

This is commonly referred to as rise/run

Given two points(0, k) and (1,4) and told that the slope is 9 we get

[tex]9 = \dfrac{4-k}{1-0}\\\\9 = \dfrac{4-k}{1}\\\\9 = 4 -k\\\\\text{Subtract 5 from both sides to get }\\9 - 4 = 4 - 4 - k\\\\5 = -k\\\\ k = - 5\\\\[/tex]


Related Questions

solve for x x/10 = 4

Answers

I’d say it’s 40… if we’re skipping the explanation part…

Though if I’m correct— you multiply 10 on both sides to get x alone. x = 40

-2.5(2s-5)-3(4.5s-5.2) simplified is
need help please and thank you ahead of time

Answers

Answer: −18.5s+28.1

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A triangle has base 8 cm and perpendicular height 5.2 cm
Diagram not drawn accurately
8 cm
Work out the area of the triangle.
Optional working
5.2 cm
Answer:
cm²

Answers

Answer:

20.8 cm^2.

Step-by-step explanation:

Area = 1/2 * base * height

         = 1/2 * 8 * 5.2

Answer:

A = 20.8 cm²

Step-by-step explanation:

We have just to use the following expression:

A = (Base x height) / 2

So:

A = (8 x 5.2) / 2

A = 4 x 5,2

A = 20.8 cm²

Find b
A 16
B 23
C 92
D76

Answers

Answer:

b 23 is your answer okisussu

You buy a car that costs $24,211. The dealership is having a sale for 8% off and you have to pay 8.0% sales tax. How much will you pay?

Answers

He will pay $24.055 after discount and sales tax.

Define sales tax.

A sales tax is a fee that is paid to the government when specified goods and services are sold. Typically, laws permit the vendor to charge the customer the tax at the time of purchase. Use taxes are typically used to describe taxes on goods and services that consumers pay directly to a governing authority.

Given Data

Car cost = $24.211

Discount = 8%

Car cost after discount:

= 24.211 - 8%

= 22.274

Car cost after sales tax:

= 22.274(8%)

= 22.274 (0.08)

= 1.781

Cost of car =  22.274 + 1.781

Cost of car = 24.055

He will pay $24.055 after discount and sales tax.

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Please help me in your own words I only have 30 minutes please help me

Answers

1) given

2) corresponding angle theorem

3) definition of a linear pair

4) definition of a linear pair

5) supplement theorem

what is 3/12 converted into over 100

Answers

The value of 3/12 of 100 is 25 .

In the question ,

a fraction 3/12 is given ,

we have to find the value of 3/12 of 100 .

to find the value , we first convert both the numbers into fraction

So 100 in fraction form can be written as 100/1

So the value 3/12 of 100 means

= [tex]\frac{3}{12} *\frac{100}{1}[/tex]

multiplying the numerator with numerator

and multiplying denominator with denominator .

we get = 300/12

on further  simplification ,

we have ,

= 75/3

= 25

So , 3/12 of 100 = 25

Therefore , The value of 3/12 of 100 is 25 .

The given question is incomplete , the complete question is

What is the value of 3/12 of 100 ?

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A certain plant grows 1 1/6 inches each werk how long will it rake the plant to grow 6 1/6 inches?

Answers

A certain plant grows 1 1/6 inches each week. it will rake the plant to grow 6 1/6 inches is 5 weeks 2 days.

What is the definition of time?

Time is ongoing progression of existence and things that happen in what seems to be an irrevocable order from the past, present, and forward into the future. It is a quantity that is part of several measurements that are used to compare the length of events or the gaps between them, to compare how long they last, to order events, and to measure how quickly the things change in the real world or in our conscious experience. Along with the three spatial dimensions, time is frequently referred to as a fourth dimension.

Time has long been an important subject of study in religion, philosophy, and science, but defining it in a manner applicable to all fields without the circularity has consistently eluded scholars. Nevertheless, diverse fields such as the business, industry, sports, sciences, and the performing arts all incorporate some notion of time into their respective measuring systems.

A certain plant grows every week = [tex]1\frac{1}{6}[/tex] = [tex]\frac{7}{6}[/tex] inches

1 week = 7 days

Therefore in 1 day plant grows = [tex]\frac{\frac{7}{6} }{7}[/tex]

                                                        = [tex]\frac{1}{6}[/tex] inch

Now we have to calculate the number of days in which the plant grows [tex]6\frac{1}{6}[/tex]  inches ≈ [tex]\frac{37}{6}[/tex] inch

Number of days = [tex]\frac{Total growth}{growth in one day}[/tex]

                          = [tex]\frac{37}{6}[/tex] ÷ [tex]\frac{1}{6}[/tex]

                          = [tex]\frac{37}{6}[/tex]  × 6

                          = 37 days ≈ 5 weeks and 2 days

It will take plant 5 weeks 2 days to grow [tex]6\frac{1}{6}[/tex] inches.

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Solve b over negative 5.6 is less than or equal to negative 4.9 for b.

b ≥ 27.44
b ≤ 0.7
b ≤ −0.7
b ≥ −10.5

Answers

The expression of b over negative 5.6 is less than or equal to negative 4.9 for b ≤ 0.7 ( b less than or equal to 0.7 ).

Based on the given conditions,

Negative 5.6 means = -5.6

Negative 4.9 means = -4.9

Negative 5.6 means ≤ Negative 4.9 means

Then,

-5.6  ≤  -4.9

But,

Let the number b is over negative 5.6,

It means,

We can write,

b + (-5.6)      (Equation-1)

This equation-1 is write into,

b + (-5.6) ≤  -4.9

b - 5.6 ≤  -4.9

b ≤ (-4.9) + 5.6

We can sum or difference the products,

b ≤ 0.7

Therefore,

The expression b over negative 5.6 is less than or equal to negative 4.9 for b ≤ 0.7

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Answer: The expression b over negative 5.6 is less than or equal to negative 4.9 for b ≤ 0.7

Step-by-step explanation:

simplify the following surd expressions 2 square root 5 * 5 square root 5

Answers

Answer:

50

Step-by-step explanation:

Simplify:

    [tex]\sf 2\sqrt{5}*5*\sqrt{5} = 2*5* \sqrt{5*5}[/tex]

                          = 10 * 5

                           = 50

Multiply the rational numbers and multiply the radicals.

Answer the photo of the question pls tyy

Answers

The polynomial is

[tex]10x + y[/tex]

What is 84,787 in expanded form?

Answers

Answer:

Your number written in expanded form is: 80000 + 4000 + 700 + 80 + 7

12. Write the equation that represents
the values in the table below.
X
8
y
-29
INS MITT
6
-19
2
1
-4
31

Answers

Answer: [tex]y=-5x+11[/tex]

Step-by-step explanation:

We can model this with a line.

The slope of the line is [tex]\frac{-29-1}{8-2}=-5[/tex], and so the equation is [tex]y=-5x+11[/tex].

What’s 4x=8 simplified pls pls need to know

Answers

[tex]4x=8\\\frac{4x}{4} =\frac{8}{4} \\x=2[/tex]

simplified it is x=2

Answer:

x = 2

Step-by-step explanation:

4 x 2 = 8

Johnny opened a savings account and deposited $95, and then saved $15 per week. Write an equation representing this scenario. Use for her bank account balance and for the number of weeks that have passed since opening her account.

Answers

The following linear equation gives Johnny's savings w weeks after her opened the account.

S(w) = $95 + $15*w

Which equation shows Johnny savings?

We know that initially, Johnny deposits an amount of $95, and then he saves $15 per week.

So, after w weeks, the amount in that savings account will be:

S(w) = $95 + $15*w

This linear equation gives the bank account balance w weeks after her opened the account.

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3.5²-√8.6
Answer to the 2nd decimal places

Answers

Answer:

9.32 if question is [tex]3.5^2-\sqrt{8.6}[/tex]

or

10.55 if question is [tex]3.5^2 - \sqrt{8} \cdot 6[/tex]

(see explanation below)

Step-by-step explanation:

I took the question as
[tex]3.5^2-\sqrt{8.6}[/tex]

since it was not clear if it was [tex]\sqrt{8.6}[/tex] or [tex]\sqrt{8} \cdot 6[/tex]

If it is  [tex]3.5^2 - \sqrt{8} \cdot 6[/tex] then the answer would be 10.55

So check out your question and choose

If Devon had a crush on aleyna and decided to bake cookies for her and the entire class that has 90 people in how many people does devon have to make cookies for including a ton for aleyna since she is his boo?

Answers

Step-by-step explanation:

soz bro I need the points but that guy too be moving madd

A pre-image includes a line segment with the length of z units in a slope of M units the pre-image is dilated by a scale factor of N. The length of a corresponding line segment in the image is blank units

Answers

The length of a corresponding line segment in the image is; Nz

How to find the Slope of the Line Segment?

We know that;

Slope is the ratio of change in y-value and change in x-value.

Thus, dilation does not change the slope of any line.

Now, after dilation; M---->M

Length of line:

We know that a dilation has the effect of stretching or shrinking the line segment by the factor of N units

We are given

Length of line = z

Thus, the length after dilation will become

= N * z

= Nz which is the length of a corresponding line segment

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How would the contrustion be different if you changed the compass setting in the next step of the perpendicular bisector construction

Answers

When the compass setting is changed in the next step of perpendicular bisector setting the construction line that suppose to be the perpendicular bisector will:

fail to bisect the line that requires bisectionThe line constructed will jus be a perpendicular line

What is perpendicular bisection?

When a line say AB requires a perpendicular bisection by another line say CD, the following will happen

Line CD will intersect line AB at a point say MThe point of intersection will create an angle which 90 degrees when measuredline AM = line BM, this means that line CD divided line AB into two equal parts

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The polynomial P(x) = x⁴ + 3x³ + cx² - 7x + 6 is divisible by x+3.
Determine the value of c and factor the polynomial fully.

Answers

The value of c is -3.

The factorization of the polynomial is [tex](x+3)(x^3-3x+2)[/tex].

Given that:-

Polynomial P(x) = x⁴ + 3x³ + cx² - 7x + 6 is divisible by (x + 3).

We have to determine the value of c and factorize the polynomial.

Using remainder theorem, putting x = -3 in the given polynomial, we get

[tex]P(-3)= (-3)^4+3(-3)^3+c(-3)^2-7(-3)+6=0[/tex]

P(-3) = 81 -81 +9c +21 +6 = 0

9c + 27 = 0

9c = -27

c = -27/9 = -3

Dividing the given polynomial  x⁴ + 3x³ -3x² - 7x + 6  by (x + 3), we get,

[tex]x^3-3x+2[/tex]

Hence, the factorization of the polynomial is given by:-

[tex](x+3)(x^3-3x+2)[/tex]

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Evaluate 4(x - 3) + 5x - x2 for x = 2.

Answers

Step-by-step explanation:

4(x - 3) + 5x -

If x = 2,

= 4(2 - 3) + 5(2) - (2)²

= 4(-1) + 10 - 4

= -4 + 10 - 4

= 6 - 4

= 2.

Therefore, it is confirmed that x = 2.

simplify the equation if a=3. b=-1 and c=5

4a+6-ac+b

Answers

Answer:

12 + 6 - 15 + (-1) = 2

Step-by-step explanation:

4a = 3 × 4 = 12

ac = 3 × 5 = 15

12 + 6 - 15 + (-1) = 2

What is 12 divided by .5
(help please i’m bad at division)

Answers

Answer:

24

Step-by-step explanation:

Think of .5 as 2 and instead of dividing, you're multiplying.

So instead of 12/.5, it would be 12x2, which is 24.

Hope that helps!

What 12 divided by 5 is

The answer is 2.4

math.uh.edu lloyd's cereal company packages cereal in 1 pound boxes (16 ounces). a sample of 25 boxes is selected at random from the production line every hour, and if the average weight is less than 15 ounces, the machine is adjusted to increase the amount of cereal dispensed. if the mean for 1 hour is 1 pound and the standard deviation is 0.1 pound, what is the probability that the amount dispensed per box will have to be increased?

Answers

The probability that the amount dispensed per box will have to be increased is 0.0062.

Consider the provided information.

Sample of 16 boxes is selected at random.

If the mean for 1 hour is 1 pound and the standard deviation is 0.1

1 Pound = 16 ounces , then 0.1 Pound = 16/10 = 1.6 ounces

Thus: μ = 16 ounces and σ = 1.6 ounces.

Compute the test probability

z= x−μ/σ/[tex]\sqrt{n}[/tex]

z= 15-16/ 1.6/[tex]\sqrt{4}[/tex]

z= -1/ 0.4

z= -2.5

By using the table.

Probability p value = P(Z<-2.50) = 0.0062

Thus, the probability that the amount dispensed per box will have to be increased is 0.0062.

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please help me on these 2 questions

Answers

Answer:

1. x2-2x-24=0

break middle term

= x2-6x+4x-24=0

factorise:

x(x-6)+4(x-6)=0

=(x+4)(x-6)=0

x+4=0

x= -4

x-6=0

x= 6

2. x2-11x+18=0

break middle term

x2-9x-2x+18=0

Factorise

x(x-9)-2(x-9)=0

(x-2)(x-9)=0

x-2=0

x=2

x-9=0

x=9

Ask me if u don't know how to break middle term

PLEASE HELP QUICK!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The measures of the unknown angles are as follows:

∠DEA = ∠BEC = 60°∠AEB = ∠CED  = 120°

How to find the measure of angles?

The measures of each angles can be found as follows:

Therefore,

∠AEB = ∠CED (vertically opposite angle)

∠DEA = ∠BEC (vertically opposite angle)

Vertically opposite angles are equal.

Therefore,

4x = 75 - x

4x + x = 75

5x = 75

x = 75 / 5

x = 15

Therefore,

∠DEA = ∠BEC = 4(15) = 60°

∠AEB = ∠CED  = 360 - 120 / 2 = 240 / 2 = 120°

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. If four players on the twenty-man baseball roster are left-handed, what
percent of the players are left-handed?

Answers

Answer:

20%

Step-by-step explanation:

4/20

 20 x 5 = 100

 4x 5 =20

20/100=20%

I don’t know what I’m doing wrong for this

Answers

Answer:

Step-by-step explanation:

I guess you want to draw the graph.

The graph is a straight line

-6x - 20 = 4y

When x = 0:

-6(0) - 20 = 4y

y = -20/4 = -5

So, one point on the graph

= (0, -5)

When y = -2:

Plugging y = -2 into the equation:

-6x - 20 = 4(-2)

-6x = -8 + 20 = -12

x = -2

So, another point is (-2, -2)

Mark these 2 points on the graph paper

and draw a line passing through them.

Question 5 of 10
What is the inequality for this verbal description?
The value of y is greater than the sum of negative eight times the value of x
and nine.
A. Y>9x-8
B. y<-8x+9
C. y> -8x+9
D. y<9x-8

Answers

The inequality for the given statement is y > -8x+9.

What is the inequality?

inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given that,

The statement is "The value of y is greater than the sum of negative eight times the value of x and 9".

According the given statement

First taking the sum of negative eight times the value of x and 9.

-8x+9

Then,

y is greater than -8x+9.

y > -8x+9

Hence, The inequality for the given statement is y > -8x+9.

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subtract 18 from the product of 7 and 13​

Answers

Hello!

The product of something is the outcome of ADDITION.

This means we will have to add 7 and 13.

7+13=20.

It says the subtract 18.

20-18=2.

2 is your answer!!
---------------------------------

this is a pretty simple concept so I hope you understood. just remember product=addition. much love!! <3

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