What is an
equation of the line that passes through the points (0, -1) and (6, 1)?

Answers

Answer 1

Answer:

y = 1/3x -1

Step-by-step explanation:

The slope is  y2 - y1 / x2 - x1

y2 is 1

y1 is -1

x2 is 6

x1 is 0

So it is 1 - (-1) / 6 - 0, or 2/6, or 1/3

The slope is 1/3.

The y-intercept is the place where x is 0. It shows the y-intercept here as

(0, -1),  The y-intercept is  -1

Slope form is y = mx + b. m is the slope, 1/3, and b is the y-intercept, -1

So the equation is: y = 1/3x -1


Related Questions

Come up with an example of three side lengths that can not possibly make a triangle, and explain how you know.

Answers

I think: 1 foot, 1 inch, and 1 inch
8 cm, 4 cm, and 2 cm

Answer:

3, 5 and 15

Step-by-step explanation:

According to the triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle with side lengths 3, 5 and 15, since 3 + 5 is less than 15.

Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR. Round your answer to the nearest tenth if necessary.

Answers

Answer:  43.1

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

Work Shown:

LM/PQ = MN/QR

13/56 = 10/x

13*x = 56*10

13x = 560

x = 560/13

x = 43.0769 approximately

x = 43.1

Segment QR is roughly 43.1 units long.

Answer:

QR = 43.1

Step-by-step explanation:

since they are similar use these ratios

NM/QR = LM/PQ

10/QR = 13/56

do cross multiplication

QR*13 = 56*10

QR = 560/13

QR = 43.07

QR = 43.1

therefore the measure of side QR is 43.1.

from first principle , find the derivative of y = x³ + 3x² - 5x

Answers

Answer:

y' = 3x² + 6x - 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

y = x³ + 3x² - 5x

Step 2: Differentiate

Basic Power Rule:                                                                                             y' = 3x³⁻¹ + 2 · 3x²⁻¹ - 1 · 5x¹⁻¹Simplify:                                                                                                             y' = 3x² + 6x - 5

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

A road has a scale of 1:50 000 The length of a road on the map is 8.5cm.Work out the length of the real road in kilometres

Answers

Answer:

ok so

8.5*150000

1275000 cm into kilometers is

12.75 kilometers

Hope This Helps!!!

Jerome's game score changed by
-20 points because of penalties that
were worth -5 points each. How
many times was Jerome penalized?

Answers

is 20 ÷ 5 the question? if so he was penalized 4 times. 5 × 4 is 20

find the slope from the graph. Leave the answer as a reduced fraction. *
I attached a picture below: I will give brainliest

Answers

Answer:

Slope = -2

Step-by-step explanation:

Point 1 (-1, 2)

Point 2 (1, -2)

Formula to find slope = y2 - y1 / x2 - x1

Slope = 2-(-2) / -1-1

Slope = 4 / -2

Slope = -2

what is the unit rate of $4 and 8 pounds

Answers

Answer:

32

Step-by-step explanation:

Helpppp plsss I’m trying to get my grade up

Answers

Answer:   1.75 square feet

This converts to the improper fraction 7/4

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

Work Shown:

3/4 = 0.75

area of triangle on the left = base*height/2 = 0.75*2/2 = 0.75 sq ft

area of triangle on the right = base*height/2 = 1*2/2 = 1 sq ft

total area = 0.75+1 = 1.75 sq ft

This converts to the improper fraction 7/4 because

1.75 = 1 + 0.75

1.75 = 1 + 3/4

1.75 = 4/4 + 3/4

1.75 = (4+3)/4

1.75 = 7/4

Translations and transformations mastery test

Answers

Answer:

so ....where is the question?

I don’t know I think b

guys i need this an answers​ full please

Answers

Answer:

See below.

Step-by-step explanation:

14.

12.5/2.5 = 5

15.

(i) [(-75)/15]/5 = -5/5 = -1

(ii) 13 / [(-2) + 1] = 13 / (-1) = -13

16.

(i) 39 + (-24) - 15 = 0

36 + (-52) - (-36) = 20

Answer: <

(ii) (-10) - 4 = -14

(-10) - (-4) = -10 + 4 = -6

Answer: <

17.

He reads 1/4 book in 1 hour.

He reads 1 book in 4 hours.

In 2 1/6 hours he reads:

(2 1/6)/4 part of the book = (13/6) / 4 = 13/24 part of the book

(i) 2/5 / 1 1/2 = 2/5 / 3/2 = 2/5 * 2/3 = 4/15

(ii) 7/3 / 2 = 7/3 * 1/2 = 7/6

Answer:

14. 5

15. (i) -1     (ii) -13

16. (i) <    (ii) <

17. 24/13

Step-by-step explanation:

I really need this question someone please help ​

Answers

Answer:

[tex]\approx 15.9[/tex]

Step-by-step explanation:

The length of an arc with measure [tex]\theta[/tex]  and radius [tex]r[/tex] is given by [tex]\ell_{arc}=2r\pi\cdot \frac{\theta}{360}[/tex]. From the figure, we know that the radius of arc ADC is 4, but we don't know the measure of the arc. Since there are 360 degrees in a circle, the measure of arc ADC is equal to the measure of the arc formed by [tex]\angle AOC[/tex] subtracted from 360. The measure of the arc formed by [tex]\angle AOC[/tex] consists of two congruent angles, [tex]\angle AOB[/tex] and [tex]\angle COB[/tex]. To find them, we can use basic trigonometry for a right triangle, since by definition, tangents intersect a circle at a right angle.

In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.

We have:

[tex]\cos \angle AOB=\cos \angle COB=\frac{4}{10},\\\angle AOB=\arccos(\frac{4}{10})=66.42182152^{\circ}[/tex]

Therefore, [tex]\angle AOC=2\cdot 66.42182152=132.84364304^{\circ}[/tex]

The measure of the central angle of [tex]\widehat{ADC}[/tex] must then be [tex]360-132.84364304=227.15635696^{\circ}[/tex]

Thus, the length of [tex]\widehat{ADC}[/tex] is equal to:

[tex]\ell_{\widehat{ADC}}=2\cdot 4\cdot \pi \cdot \frac{227.15635696}{360},\\\ell_{\widehat{ADC}}=15.8585053832\approx \boxed{15.9}[/tex] (three significant figures as requested by question).

the sum of 1+2-3-4+5+6-7-8+9+10-...+1378

Answers

Answer:

1389

Step-by-step explanation:

hope this helps?

1389 100% ok so pls give me points

khalil has a circular cake that he plans to share equally betweeb himself and 5 friends. if tge cake is 8 inched in a diameter, what will be the length of the arc of each slice of cake.

Answers

Answer:

4.2

Step-by-step explanation:

The length of the arc of each slice of cake will be 4.18 inches if Khali shares the cake between him and 5 friends equally.

What is the circumference of a circle?

The circumference is the length of the outer boundary of the circle. It can be calculated as under:

Circumference=2πr

How to find length of arc?

We have been given that the diameter of the cake is 8 inches So, the radius becomes 4 inches. We have to calculate the circumference of the cake. so the circumference becomes:

Circumference=2π(4)=8π

=8*22/7

=25.1

Then we have to divide it into 6 people so it will be 25.1/6=4.18 inches.

Hence the length of the arc will be 4.8 inches.

Learn more about circumference at https://brainly.com/question/20489969

#SPJ2

Evaluate 9(4x – 15) if x = 3.

Answers

Answer:

-27

Step-by-step explanation:

9(4x – 15)

Substitute 3 for x

9((4)(3) - 15)

Multiply (4)(3) = 12

9 ( 12 - 15 )

Subtract 12 - 15 = -3

9(-3)

Multiply 9(-3) = -27

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {-27}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \: 9 \: (4x - 15)[/tex]

Plugging in the value [tex]x = 3[/tex] in the above expression, we have

➼ [tex] \: 9 \: (4 \times 3 - 15)[/tex]

➼ [tex] \: 9 \: (12 - 15)[/tex]

➼ [tex] \: 9 \: ( - 3)[/tex]

➼ [tex] \: - 27[/tex]

Note:-

[tex]\sf\pink{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Cho mặt bậc hai
z=\sqrt(x^(2)+y^(2))

. Đây là mặt gì?

Answers

Answer:

ñkxkdbdidvdv

Step-by-step explanation:

hsu3jdjfiebdic ic8 e

How many times bigger is a group of 20 coins than a group of 5 coins

Answers

Answer:

It is there difference:

20-5

15

A picture frame (see figure) has a total perimeter of 3 feet. The width of the frame is 0.64 times its length. Find the dimensions of the frame. (Round your answers to two decimal places.)

Answers

Answer:

[tex]\approx 0.59\text{ ft by }0.91\text{ ft}[/tex]

Step-by-step explanation:

Let [tex]\ell[/tex] represent the length of the rectangle. The width can be represented as [tex]0.64\ell[/tex].

The perimeter of a rectangle with lengths [tex]l[/tex] and [tex]w[/tex] is given by [tex]p=2l+2w[/tex].

Thus, we have:

[tex]2\ell+2(0.64\ell)=3,\\2\ell +1.28\ell=3,\\3.28\ell=3,\\\ell=0.91463414634\approx 0.91[/tex]

The width is then [tex]0.64(0.91463414634)=0.58536585365\approx 0.59[/tex].

6. a semicircle has as its diameter the hypotenuse of a right triangle shown below. determine the area of the semicircle to the nearest tenth of a square centimeter. show how you arrived at your answer.

Answers

Answer:

[tex]A = 137.3cm^2[/tex]

Step-by-step explanation:

Given

See attachment

Required

The area of the semicircle

First, we calculate the hypotenuse (h) of the triangle

Considering only the triangle, we have:

[tex]\cos(68) = \frac{7}{h}[/tex] --- cosine formula

Make h the subject

[tex]h = \frac{7}{\cos(68)}[/tex]

[tex]h = \frac{7}{0.3746}[/tex]

[tex]h = 18.7[/tex]

The area of the semicircle is then calculated as:

[tex]A = \frac{\pi h^2}{8}[/tex]

This gives:

[tex]A = \frac{3.14 * 18.7^2}{8}[/tex]

[tex]A = \frac{1098.03}{8}[/tex]

[tex]A = 137.3cm^2[/tex]

Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 9.6 minutes and a standard deviation of 2.3 minutes. For a randomly received emergency call, find the following probabilities. (For each answer, enter a number. Round your answers to four decimal places.)

a. between 5 and 10 min
b. less than 5 min
c. more than 10 min

Answers

Answer:

a) 0.5447

b) 0.0228

c) 0.4325

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normal distribution with a mean of 9.6 minutes and a standard deviation of 2.3 minutes.

This means that [tex]\mu = 9.6, \sigma = 2.3[/tex]

a. between 5 and 10 min

This is the p-value of Z when X = 10 subtracted by the p-value of Z when X = 5. So

X = 10

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{10 - 9.6}{2.3}[/tex]

[tex]Z = 0.17[/tex]

[tex]Z = 0.17[/tex] has a p-value of 0.5675

X = 5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5 - 9.6}{2.3}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228

0.5675 - 0.0228 = 0.5447 probability that a randomly received emergency call is between 5 and 10 minutes.

b. less than 5 min

p-value of Z when X = 5, which from item a), is 0.0228, so 0.0228 probability that a randomly received emergency call is of less than 5 minutes.

c. more than 10 min

1 subtracted by the p-value of Z when X = 10, which, from item a), is of 0.5675.

1 - 0.5675 = 0.4325

0.4325 probability that a randomly received emergency call is of more than 10 minutes.

Graph the image of Kite BCDE after a translation 5 units down.​

Answers

Answer:

Move each point, one by one, 5 units down

so, D(-7,10) becomes [tex]D^{1}[/tex](-7,5). Y value was decreased by 5

You are literally going to take the points and move them down 5 units. Ex.) e will become (-10,0)

Find the sine of ZF.
H
2/2
3/3
F
Write your answer in simplified, rationalized form. Do not round.
sin (F) =

Answers

Answer:

1/9 √57

Step-by-step explanation:

the length of HG = √(3√3² - 2√2²)

= √(27-8) = √19

sin L F = HG/GF = √19/ 3√3

= 1/9 √57

PLEASE HELP
A salesperson works 40 hours per week at a job where has two options for being paid. Option A is an hourly wage of ​$25. Option B is a commission rate of ​5% on weekly sales. How much does need to sell this week to earn the same amount with the two​ options?

he needs to sell$___this week

Answers

Answer:

He must sell 20,000 to make the same amount

Step-by-step explanation:

Option A

25 h   where hourly rate time number of hours ( 40 hours)

25 * 40 = 1000

Option B =

.05 * s  where s is the amount of sales and 5% commission

We want them to be equal

1000 = .05s

Divide each side by .05

1000/.05 = .05s/.05

20000 = s

He must sell 20,000 to make the same amount

You decide to increase your Utah county coronavirus sample to 10 counties and estimate the same sample standard deviation you did with your sample of 5 counties. This will ______________ the margin of error associated with your 90% confidence interval.

Answers

Answer:

This will decrease the margin of error associated with your 90% confidence interval.

Step-by-step explanation:

Margin of error:

The margin of error of a confidence interval is given by a formula that follows the following format:

[tex]M = z\frac{s}{\sqrt{n}}[/tex]

In which z is related to the confidence level, s is related to the standard deviation and n is related to the size of sample.

From the formula:

M and n are inversely proportional, which means that if the sample size is increased, the margin of error decreases.

In this question:

Sample size increases from 5 to 10, so the margin of error decreases.

the solution set for -2x[tex]-2x^{2}+12x=0[/tex]

Answers


Mark Brainliest please
Answer : x = 0 or x = 6


Explanation:
−2x^2 + 12x = 0. By can be written as
2x × ( −x ) + 2x × 6 = 0

or,

2x ( − x + 6 ) = 0

As product of 2x and (−x+6) is zero,

therefore

either 2x = 0 i.e. x = 0

or −x +6 = 0. i.e. x = 6


find a so the function be continuous Function

Answers

The limit as x approaches 1 from either side should match, so that

[tex]\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1}(-2x+a)=a-2[/tex]

[tex]\displaystyle\lim_{x\to1^+}f(x)=\lim_{x\to1}x=1[/tex]

==>   a - 2 = 1   ==>   a = 3

The answer is a = 3.

Finding Left Hand Limit (LHL)

[tex]\displaystyle \lim_{x \to \11^{-}} f(x) = -2(1) + a[/tex]

Finding Right Hand Limit (RHL)

[tex]\displaystyle \lim_{x \to \11^{+}} f(x) = 1[/tex]

For a continuous function, LHL = RHL

-2 + a = 1a = 3

Find the percent of decrease from 46 songs to 41 songs. Round to the nearest tenth of a percent if necessary.
percent of decrease
%

Answers

Answer:

10.9 %

Step-by-step explanation:

46 - 41 = 5

5/46 * 100% = 10.8695652174%

Rounded

10.9 %

A = [5 2 -4 2 5 -4 4 4 -5]Is A diagonalizable? Why or why not? a. A is diagonalizable because if you just chop off the upper and lower triangles of the matrix, you're left with just the diagonal, so it just got diagonalized. Bayum! b. A is not diagonalizable because it is not a diagonal matrix c. A is diagonalizable because αA(λ) = γA(λ) for all eigenvalues of λ.d. A is diagonalizable because it is a square matrix.e. A is not diagonalizable because αA(λ) ≠ γA(λ) for all eigenvalues of λ.f. A is not diagonalizable because it does not have 3 distinct eigenvalues

Answers

Answer:

A is diagonalizable because αA(λ) = γA(λ) for all eigenvalues of λ. ( C )

Step-by-step explanation:

The matrix

[tex]A = \left[\begin{array}{ccc}5&2&-4\\2&5&-4\\4&4&-5\end{array}\right][/tex]

This is a 3 x 3 matrix  

Attached below is the prove that A is diagonalizable  

Find the output, y, when the input, x, is -1

Answers

Answer:

No solution is possible from the information provided

Step-by-step explanation:

graph the
function f(x)=10(2)x

Answers

Answer:

G.o.o.g.l.e

Step-by-step explanation:

If you search up 'f(x)=10(2)x' on g.o.o.g.l.e it will draw the graph for you.

If this helps you, please give brainliest!

PLEASE HELP
Question 2 of 10
What is the distance formula?
O A. (2 - x,) + (42-44)
B. (x2 + x; } } - (x2 + y )
c. 112 - ) - ( x - x
O D. / (+2 - x)² + (x2 - yil

Answers

ANSWER

D

Step-by-step explanation:

d=√((x_2-x_1)²+(y_2-y_1)²)

Answer:

hey can you explain cause IM reading  my self and id  be happy to help if you  oh you have a picture oh the answer is...

Step-by-step explanation:

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