What is the equation of the line that passes through (-1, 5) and (3, -7)?

Answers

Answer 1

Answer:

[tex] 3x + y = 2 [/tex]

Step-by-step explanation:

[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]

[tex] y - 5 = \dfrac{-7 - 5}{3 - (-1)}(x - (-1)) [/tex]

[tex] y - 5 = \dfrac{-12}{4}(x + 1) [/tex]

[tex] y - 5 = -3(x + 1) [/tex]

[tex] y - 5 = -3x - 3 [/tex]

[tex] 3x + y = 2 [/tex]


Related Questions

One angle of a rhombus measures 108°, and the shorter diagonal is 9 inches long. Approximately how long is the side of the rhombus?

Answers

Answer:

8 inches

Step-by-step explanation:

A rhombus is a four sides quadrilateral with the four sides equal in length

A rhombus has 4 equal sides and the diagonal bisect at right angles

Adjacent sides = 9/2 = 4.5

we are to determine the value of the hypotenuse given the adjacent side and angle (108/2) = 54

Cos 54 = adjacent / hypotenuse

0.58778 = 4.5 / hypotenuse

hypotenuse = 4.5 / 0.58778

=7.6559

= 8 inches

Find the greatest common factor

Answers

Answer:

3x^2y^2

Step-by-step explanation:

I think:

3*2*x*x*x*y*y*y*y

3*3*x*x*y*y

3*6*x*x*x*y*y

They all have 3x^2y^2 in common.

The outer radius of a cylindrical metal tube is R and t is the thickness of the metal. a Show that the volume, V. of metal in a length.7 units, of the tube is given by V. = m(2R - 0). b Hence calculate V when R = 7.5.1 = 1 and l= 20​

Answers

Complete question is;

The outer radius of a cylindrical metal tube is R and t is the thickness of the metal.

A) Show that the volume, V, of metal in a length, l units, of the tube is given by V = πlt(2R - t)

B) Hence calculate V when R = 7.5. t = 1 and L = 20

Answer:

A)V = πlt(2R - t)

B)V = 879.65

Step-by-step explanation:

A) Formula for volume of a hollow cylinder is; V = π(R² - r²)h

Where;

R is outer radius

r is inner radius

h is height/length of tube

Now, we are told thickness is t.

Thus; R - r = t

Also, h = l

Thus;

V = π(R² - r²)h

Let's factorize this to get;

V = π((R + r)(R - r))l

V = π((R + r))lt

Since R - r = t

Then, r = R - t

Thus;

V = π(R + R - t)lt

V = πlt(2R - t)

B) when R = 7.5, t = 1 and l= 20;

V = ​πlt(2R - t)

V = ​π × 20 × 1(2(7.5) - 1)

V = 879.65

The least-squares regression method is: Multiple Choice A graphical method to identify cost behavior. An algebraic method to identify cost behavior. A statistical method to identify cost behavior. The only identify cost estimation method allowed by GAAP. A cost estimation method that only uses the two extreme values.

Answers

Answer:

A statistical method to identify cost behavior.

Step-by-step explanation:

Costing is the measurement of the cost of production of goods and services by assessing the fixed costs and variable costs associated with each step of production.

In Financial accounting, the three methods used to classify costs into their fixed and variable components includes high-low method, scatter diagrams and least-squares regression.

A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.

Hence, the least-squares regression method is a statistical method that is typically used for identifying cost behavior.

Generally, the sum of the residuals of a least squares regression line is always equal to zero.

Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x 3)2 4?left 3, up 4right 3, down 4left 3, down 4right 3, up 4

Answers

Answer:

Right 3, Down 4

Step-by-step explanation:

Given

[tex]f(x) = x^2[/tex]

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

Required

The transformation from f(x) to g(x)

When a function is translated up by h units, the rule is:

[tex](x,y) \to (x + h,y)[/tex]

So, we have:

[tex]f'(x) = (x + h)^2[/tex]

By comparison, h = 3. So:

[tex]f'(x) = (x + 3)^2[/tex]

When a function is translated down by h units, the rule is:

[tex](x,y) \to (x,y - h)[/tex]

So, we have:

[tex]g(x) = f'(x) -h[/tex]

By comparison, h = 4. So:

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

Hence, the transformation is: 3 units right and 4 units down

which one is the right graph

Answers

Answer: C

Step-by-step explanation:

The formula for a volume of a square-based prism is L² x h

If we insert 2 for L

We get 2² x 12 = 48

Same thing if we insert 3

3² x 12 = 108

As L is increasing, the volume is also increasing, so options A and D are out

The growth of the volume is not linear; it's exponential, eliminating B to make C the answer

If you want something visual, you can put y=12x² into a graphing calculator.

PLZ HELP! Also, give an explanation. :)

Answers

Answer: First option (your selected answer)

Step-by-step explanation:

(rotating an object 360° will bring it to its original position)

(rotating an object 180° will turn it upside-down)

(rotating an object 90° will make it sideways)

(to calculate the scale factor, pick a point on both triangles that are of the same corner)

ex: A: (-12,12) and A': (4,-4)

(ask yourself what you need to multiply the x and y coordinates of ΔABC by to get the resulting x and y coordinates of the ΔA'B'C')

[tex]-12*-\frac{1}{3}=4\\12*-\frac{1}{3}=-4[/tex]

(you multiply -1/3 to get the x and y value of the second triangle)

(though the provided options do not display the negative scale factor, the scale factor should be negative)

ΔABC - ΔA'B'C', because ΔA'B'C' is obtained by dilating ΔABC by a scale factor of 1/3 and then rotating it about the origin by 180°

Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of y = 2x2 – 12x + 6.

Answers

Step-by-step explanation:

The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann hypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.

s

SO, LAST IS CORRECT

?ARK ME AS BRAILIEST

Help solve for the area

Answers

Answer:

B

Step-by-step explanation:

half × base × height

height × length

Answer: B

Step-by-step explanation:

Triangle)

25 - 7 = 18

[tex]A=\frac{1}{2}(b)(h)\\A=\frac{1}{2}(18)(17)\\A=153cm^2[/tex]

Rectangle)

[tex]A=b(h)\\A=7(17) = 119cm^2[/tex]

Total)

[tex]153+119=272 cm^2[/tex]

what is the answer?
A. 41°
B. 98°
C. 123°
D. 139°

Answers

Answer:

139

Step-by-step explanation:

Supplementary angles add to 180 degrees

BOC + 41 = 180

BOC = 180-41

BOC = 139

Given a line segment that contains the points A,B, & C in order,if AB = 2x + 3, BC = 4x - 11, and AC = 28, find the length of segment AB.

Answers

Answer:

15

Step-by-step explanation:

AB+BC=AC

2X+3+(4X-11)

6X-8=28

6x= 36

x=6

then ab= 2(6)+3

=15

bc= 4(6)-11

=13

ac=ab+bc

=15+13

=28

15. Mary was given data comparing students’ mark in math class and the number of classes missed. She plotted the data on the graph below and drew a line of best fit. Do you agree with Mary’s drawing of the line of best fit? Justify your answer. PLEASE HELP ITS RLLY IMPORTANT

Answers

Answer:

No

Step-by-step explanation:

The line of best fit should follow the correlation of the data and it should go through as many of the plotted data as possible.

The Data is showing a negative correlation but she has drawn on a positive correlation and it also only goes through 1 point.

Hope this helps :)

Choose the inequality that represents the following graph.

Answers

Answer:

D)  x ≥ -2

Step-by-step explanation:

A pile of sand has been stored in the shape of a cone. Mr. Terwilliker knows that the pile is 20 feet tall and 102 feet in circumference at the base. What is the area of the conical tarpaulin needed to cover the pile?

Answers

Answer:

The area of tarpaulin is 1315.63 ft^2.  

Step-by-step explanation:

height, h = 20 feet

circumference, C = 102 feet

Let the radius is r.

Circumference, C = 2 x 3.14 x r = 102

r = 16.24 feet

Let the slant height is L.

[tex]L = \sqrt{h^2 + r^2}\\\\L = \sqrt{20^2 + 16.24^2}\\\\L = 25.8 ft[/tex]

The curved surface area is

S = 3.14 x r x L

S = 3.14 x 16.24 x 25.8 = 1315.63 ft^2

Answer:

400pi square feet

Step-by-step explanation:

Find the radius

Find the slant height

Put it in the formula for a cone but take the circumference part out

Divide your answer by pi

The question asks for the closest answer

400pi square feet is the closest option to 418.17pi square feet.

SOMEONE HELP ME PLEASE

Decide if the following scenario involves a permutation or combination. Then find the number of possibilities.
You are setting the combination on a five-digit lock. You want to use the numbers 12345 but you don't care what order they are in.

Answers

Answer:

basically this is just 5! (five factorial) which is 120

the formal formula would be

n!/(n-r)! = 5!/(5-5)! = 5!/0! = 5! = 120

Step-by-step explanation:

The number of the ways that can be used to set the digital lock will be 120.

What are permutation and combination?

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

Decide if the following scenario involves a permutation or combination. Then the number of possibilities will be

You are setting the combination on a five-digit lock.

You want to use the numbers 12345, but you don't care what order they are in.

Then the number of the ways that can be used to set the digital lock will be

⇒ 5!

⇒ 5 x 4 x 3 x 2 x 1

⇒ 120

The number of the ways that can be used to set the digital lock will be 120.

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

#SPJ5

Christina buys 3 DVDs . 2 of the DVDs cost X+Y . Write an expression that shows the amount the 3 DVDs cost

Answers

Answer:

3/2(x+y)

Step-by-step explanation:

The cost of 2 DVD is x+y

Divide by 2 to get the cost of one DVD

(x+y) /2

Multiply by 3 to get the cost of 3

3/2(x+y)

Answer:

= 3(x + y)/2

Step-by-step explanation:

Cost of two DVD's is shown as :-

= x + y

If we divide by 2 we'll get the cost of each DVD

= (x + y)/2

Then, multiplying by 3 gives us the total amount.

= 3(x + y)/2

Find the area of the following triangle. Round your answer to the nearest tenth.

Answers

Answer:

45.0

Step-by-step explanation:

you are going to multiple them you are going to have 45 then to the nearest tenth which is 45.0

Area = 1/2absinC
= 1/2(9)(5)sin(107 °)
= 21.5

Area for right-angled triangle use : A=1/2bh

Ron Caruso works as an insurance agent
and receives a commission of 40% of the
first year's premium. Find Ron's
commission for selling a life insurance
policy with a first-year premium of
$1,050.

Answers

Answer: $420

Step-by-step explanation:

40% of 1st year commission

1st year commission is $1050

40% x 1050 = .40 x 1050 = 420

$420

Find the length of the segment indicated. Round to the nearest tenth

Answers

Answer:

x=5

Step-by-step explanation:

x is the length of the line segment from the center to the boderline of circle. So x=5

SEE IMAGE FOR QUESTION

Answers

Answer:

17

The range is the difference of the greatest and smallest numbers:

5 - (-5) = 1018

Semi-interquartile of the range is:

(Q3 - Q1)/2 = 12

Since Q1 = 15, find Q3:

Q3 - 15 = 2*12Q3 = 24 + 15 = 39

Note. Probably the numbers mixed up in the question.

If we swap them:

Q3 = 2*15 + 12 = 42 would be the correct answer. 19

Given data:

3, 5, 7, 9, 11

The mean:

(3 + 5 + 7 + 9 + 11)/5 = 7

Variance, the average of the squared differences from the mean:

[(3 - 7)² + (5 - 7)² + (7 - 7)² + (9 - 7)² + (11 - 7)²]/5 = 8

A steep mountain is inclined 75 degree to the horizontal and rises 3900 ft above the surrounding plain. A cable car is to be installed by connecting a cable from the top of the mountain to a spot on the plain that is 910 ft from the base of the mountain. Find the shortest length of cable needed.

Answers

Answer: [tex]4004.76\ ft[/tex]

Step-by-step explanation:

Given

inclination is [tex]\theta=75^{\circ}[/tex]

Mountain is [tex]h=3900\ ft[/tex] high

Cable is tied [tex]x=910\ ft[/tex] from the base of the mountain

From the figure, length of the shortest path is [tex]l[/tex]

It is given by using Pythagoras theorem

[tex]\Rightarrow l^2=3900^2+910^2\\\Rightarrow l=\sqrt{(3900)^2+(910)^2}\\\Rightarrow l=4004.76\ ft[/tex]

Michael has a project due in exactly 83 hours. It is currently 8:30 on a Monday morning. What time is his project due

Answers

Answer: it wll be thursday at 7:30PM

what is the volume of the cylinder

Answers

Answer:

B

Step-by-step explanation:

Volume of the figure = Volume of cylinder + Volume of cone

Note: A cone having the same radius and height as cylinder have a volume (1/3) of cylinder

Volume of cone=(1/3)*96=32

Volume of the figure = 32+96=128

please HELP ME!!! (16 POINTS) due today :)))

Answers

Answer:

Step-by-step explanation:

I'm not sure what the question is asking, but if you mean the angles in the blue lines

First one, we know that the full length is 90, and it has gacen us 80, so the angle would be 10

Second one, we see that the angle is still 90, and since the given degree is 30, the unkown angle would be 60

Third one, the given angle is 75 so 90-75=15.

The answers would be 10, 60, and 15.

Answer:

4. 170*

5. 330*

6. 285*

Step-by-step explanation:

4. Explanation: 90* is added by the other angle in the right + 80* for the same angle

90* + 80* = 170*
————————————————————

5. Explanation: we are trying to find out the total among every angle measure except for 30.

Total angle measure = 360*

360 - 30 = 330*
—————————————————————

6. Explanation: 360 - 75 = 285*


Given the following coordinates complete the reflection transformation.​

Answers

A(-0,-2) B(-1,-4) C(4,-6)

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

A (2, 0 ) → A' (2, 0 )

B (4, 1 ) → B' (4, - 1 )

C (6, - 4 ) → C' (6, 4 )

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A' (2, 0 ) → A'' (- 2, 0 )

B' (4, - 1 ) → B'' (- 4, - 1 )

C' (6, 4 ) → C'' (- 6, 4 )

Which descriptions can describe more than one triangle? Select two options.

• side lengths of 6 ft, 8ft, and 10 ft
• angle measurements of 350, 350, and 110°
• angle measurements of 30°, 40°, and 50°
• angle measurements of 40°, 60°, and 80°
• side lengths of 4 cm, 6 cm, and 9 cm

Answers

Answer:

angle measurements of 35, 35, and 110°  

angle measurements of 40°, 60°, and 80°

Have a nice day! :)

please help me with this also if your good at geometry please dm me I need serious help!!​

Answers

Answer:

0.92

Step-by-step explanation:

cosine = adjacent/ hypotenuse

cosine of t = 12/ 13

cos t= 0.92308

what is the external angle of a polygon where the corresponding interior angle equals 105 degrees

Answers

Answer:

75 degrees maybe.......

Answer:

75 degrees

Step-by-step explanation:

the external angle is between the outside of one of the sides of the angle and the continued line of the second side of the angle.

and because it is measured against a line, where we have a total of 180 degrees for angles, we have

exterior angle = 180 - interval angle = 180-105 = 75

The ratio of carbon-14 to carbon-12 in a piece of wood discovered in a cave is R = 1/917. Estimate the age of the piece of wood

Answers

Answer:

The answer is "[tex]\bold{6.6 \times 10^{12}\ years}[/tex]"

Step-by-step explanation:

Let the given value is:

[tex]R=\frac{1}{9^{17}}\\\\\to \frac{N_{c_{14}}}{N_{c_{12}}}=\frac{1}{9^{17}}\\\\\to t=\frac{2.303 \times 9^{17}}{5717}=6.6\times 10^{12}\ years[/tex]

Please answer this!!

Answers

Answer:

C, 5/12

Step-by-step explanation:

The tangent of an angle is defined as the side opposite to that angle divided by the side adjacent to that angle. The tangent of angle A would be equal to the value of side BC divided by side AB. The value of side BC is 5, and the value of side AB is 12. The answer is 5/12.

Answer: ∠A=[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

Tangent is opposite over adjacent.

Other Questions
aaaaaaaaaaaaayyyyyyyyyyyyuuuuuuuuuuuiddddddddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa Most modern art is not really art Question 418 g of carbon dioxide contains how many oxygen atoms? A researcher wants to better understand the health benefits of eating vegetables. In a study he finds 300 adults aged 45-60 who eat at least 3 servings of vegetables a day on average. He finds another 200 adults who eat less than 3 servings of vegetables a day on average. The researcher looks at rates of cancer and heart disease in each group and compares both groups. In another study, the researcher finds 500 adults aged 45-60 who eat less than 3 servings of vegetables a day on average, and are willing to participate in a study. The researcher randomly assigns 250 of these adults to a diet which includes 4 servings of vegetables a day. The other 250 continue their usual habits. After 4 years, the rates of cancer and heart disease between the two groups are compared Identify the statement that correctly states the reason for considering the first study as an observational study and second study as an experiment. a. In the first study, the treatment is not imposed on the subjects, whereas in the second study the treatment is imposed on the subjects. b. In the first study, the treatment is not imposed on every subject, whereas in the second study the treatment is imposed on every subject. c. In the first study, the subjects were not randomly chosen, whereas in the second study the subjects were randomly assigned. 6.05kg, expressed in kilograms and grams How does a speaker present a persuasive message to an audience? What is the slope line that passes through the points (10, 8) and (-15, 18)? Write your answer in simplest form 1. If I with clients just by email and phone, I would lose business. Find the area of a circle with a radius of 6 ft. Round off your answer to one decimal point. (The formula for the area of a circle is A = ar?) Which statement best describes the historical significance of the Declaration of Independence? mr albernathy perchases a selection of wrenches for his shop. his bill was $78. he buys the same number of $1.50 wrenches and $2.50 wrenches, and half as may $4 dollars wrenches. the number of $3 wrenches is one more than the number of $4 dollars wrenches. how many of each did he purchase? what is cyclic and noncyclic photo-phosphorylation Suppose a teenager on her bicycle. The rear wheel is spinning at an angular velocity of 281.133 rpm. She stops it in 3.686 s. How many revolution did it take to stop it? PLEASE ANSWER!!!!!!!!! FASTEST GETS BRAINLIESTwhat is the period of the graph of y=5 sin (pi(x)+4 Phonological awareness is. Dear Jeff,Im having a good holiday in Australia. When we arrived two weeks (41) the weather was bad and (42) was cold. Now the weather is better and we go to the beach (43) day.This week we (44) staying in Sydney but (45) week we went to the Great Barrier Reef. Because (46) water was so warm, I loved swimming there. The fish were all different (47) : red, yellow, purple! Australia (48) very beautiful. We dont want (49) come home!See you at the end (50) September.Sue A company's total expected overhead for the year is $500,000. Two activity cost pools have been identified: Customer Service with a total cost of $200,000 and a total activity of 25,000 customer service calls; and Product Development with a total cost of $300,000 and total activity of 20,000 development hours. Using activity-based costing, calculate the appropriate activity rate(s). Multiple choice question. $8 per customer call and $15 per development hour $20 per customer call and $25 per development hour $11.11 per customer call or per development hour A bond issue with a face amount of $1,100,000 bears interest at the rate of 7%. The current market rate of interest is 8%. These bonds will sell at a price that is: make some meaningful sentences from the verb 'break' so i have this problem for my credit recovery can anyone please help me Eight people were asked what the balance of their savings account at the beginning of the month was and how much it increased or decreased by the end of the month.Create a scatter plot that represents the data that is shown in the table. The x-axis represents the beginning balance in thousands of dollars and the y-axis represents the change in the savings account in hundreds of dollars.