Determine the equations of the straight lines
passing through the following pairs of points.
1)(2,-2) and (3, 4)
2)(-3, -2) and (1,2)
3)(4,6) and (5,2)
4)(5,8) and (7, 1)

Answers

Answer 1

Answer:

1). 6x - 14    2). y = 1x + 1       3). y = -4x + 22     4).y = -7/2x + 51/2

Step-by-step explanation:

1). y2 - y1 / x2 - x1      4 - (-2) / 3-2         = 6

y = 6x + b           4 = 6(3) + b      4 = 18 + b        -14 = b

y = 6x - 14

2). 2 - (-2) / 1 - (-3)      = 1

y = 1x + b        2 = 1(1) + b     2 = 1 + b    1 = b

y = 1x + 1

3).  2 - 6 / 5 - 4      = -4

y = -4x + b      6 = -4(4) + b      6 = -16 + b       22 = b

y = -4x + 22

4). 1 - 8 / 7 - 5      = -7/2

y = -7/2x + 51/2


Related Questions

Every bottle of supercharge vitamins contains 50 vitamins. Let v be the total number of vitamins and let b be the number of bottles.

Answers

Answer:

The answer is "[tex]v = \frac{50b}{v} = 50 \times b[/tex]".

Step-by-step explanation:

A single bottle of supercharging includes the equivalent of 50 vitamins.

Number of vitamins v = Total number of vitamins

b = the number of bottles that were used

Because each bottle contains one vitamin, you should multiply this total number of bottles (b) by the total amount of vitamins (50 vitamins).

[tex]v = \frac{50b}{v} = 50 \times b[/tex] so, Both are the same.

Answer:

i just did it- here ya go

Step-by-step explanation:

Round 332.749 to:
tens
and
hundredths

Answers

Answer:

To the nearest ten, 330 would be the answer

To the nearest hundredth, the answer would be 332.75

Step-by-step explanation:

I'm not sure if you meant tenths or hundred, but let me know if this is right or wrong :)

Answer problem below

Answers

9514 1404 393

Answer:

  17.078 square units

Step-by-step explanation:

The area of a segment is given by the formula ...

  A = 1/2r²(θ -sin(θ)) . . . . where θ is in radians

The angle θ is 48°, or π(48°/180°) radians = 4π/15 radians.

Then the segment area is ...

  A = (1/2)(19²)(4π/15 -sin(48°)) = 17.078 . . . square units

Given a sphere with radius r, the formula 4x1/2 gives
A. the volume
B. the surface area
C. the radius
D. the cross-sectional area

Answers

Answer:

c. the radius

Step-by-step explanation:

To calculate the radius of a sphere:

r = d x ½

where d = diameter

help help help I'll mark u BRAINLIEST SOLVE:3x² +5x−2≤0​

Answers

Answer:

-2 <= x <= 1/3

Step-by-step explanation:

it is the same as for equations.

the solution for a square equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

our parameters here are

a = 3

b = 5

c = -2

so,

x = (-5 ± sqrt(25 - -24))/6 = (-5 ± sqrt(49))/6 = (-5 ± 7)/6

x1 = (-5 + 7)/6 = 2/6 = 1/3

x2 = (-5 - 7)/6 = -12/6 = -2

since we are looking for smaller or equal, points of 0 will be part of the solution.

now we need to check each side of these points on the x-axis, if they are true or not to the inequality.

left of -2 : let's pick -3

3×(-3)² + 5×-3 -2 = 3×9 - 15 - 2 = 27 - 15 -2 = 10

this is NOT <= 0, so this interval does not fit.

similar, right of 1/3 : let's pick 1

3×1² + 5×1 - 2 = 3 + 5 - 2 = 6

this is NOT <= 0, so this interval does not fit either (as expected, as normally either both sides fit, or both fail).

lastly, in the middle between -2 and 1/3 : let's pick 0

3×0² + 5×0 - 2 = -2

this IS <= 0, so the interval between -2 and 1/3 fits.

our of 1000 new born
babies, there are 514
boys, what will be the
empirical probability
the newly born baby is
(i) a boy (ii) a girl​

Answers

Look a view at this picture

A
1
-4
-3
-2
-1
0
00
-1
-2.
The distance AB rounded to the
nearest tenth = [?]
Hint: d = V(x2 – x1)2 + (y2 - yı)2

Answers

Answer:

2.8

Step-by-step explanation:

use the distance formula in the picture:

[tex]\sqrt{(-1-(-3))^2+((-1)-1)^2} = \sqrt{2^2+(-2)^2} = \sqrt{4+4} = \sqrt{8} = 2\sqrt{2} = 2.8284[/tex]

Answer:

AB ≈ 2.8

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A (- 3, 1) and (x₂, y₂ ) = B (- 1, - 1)

d = [tex]\sqrt{(-1-(-3))^2+(-1-1)^2}[/tex]

  = [tex]\sqrt{(-1+3)^2+(-2)^2}[/tex]

  = [tex]\sqrt{2^2+4}[/tex]

  = [tex]\sqrt{4+4}[/tex]

  = [tex]\sqrt{8}[/tex]

  ≈ 2.8 ( to the nearest tenth )

 

Which of the following is true about the sequence graphed below? (and Why)

Options:

• The sequence is arithmetic because the terms have a common difference.
• The sequence is arithmetic because the terms do not have a common difference.
• The sequence is not arithmetic because the terms have a common difference.
• The sequence is not arithmetic because the terms do not have a common difference.

Answers

Answer:

Step-by-step explanation:

a₂ = 9

a₃ = a₂-1.5

a₄ = a₃-1.5

a₅ = a₄-1.5

etc.

The terms have a common difference of -1.5, so the sequence is arithmetic.

Answer:

Step-by-step explanation:

The common difference is a y-thing. It looks like the difference in the y-values of each of these points is -1.5. That means that this is an arithmetic sequence because the common difference is consistently -1.5. In fact, the whole equation can be determined to be

[tex]a_n=-1.5n+12[/tex]

Juan Sanchez, an inventory clerk for a lumber yard, often rounds inventory figures for easier handling. Round the number from the inventory list to the nearest ten.
a. grade 1 oak 519 ft.
b. grade 2 oak 795 ft.
c. grade 1 pine 323 ft.
d. grade 2 pine 477 ft. Appe​

Answers

Answer:

a. grade 1 oak 519 ft.   520

b. grade 2 oak 795 ft.   800

c. grade 1 pine 323 ft.    320

d. grade 2 pine 477 ft.     480

Shannon is planning to tile a rectangular kitchen countertop that is 24 inches wide and 64 inches long. She determined that 1 tile will be needed for each 4-inch-by-4-inch region. What is the minimum number of tiles that will be needed to completely cover the countertop to its edges

Answers

Answer:

96

Step-by-step explanation:

[tex]\frac{24*64}{4*4}=96\\[/tex]

or

[tex]\frac{24}{4}=6, \frac{64}{4}=16\\6*16=96[/tex]

The minimum number of tiles that will be needed to completely cover the countertop to its edges is 96.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

The number of tiles will be calculated by calculating the area of the rectangular kitchen and the area of a tile then dividing the whole area by the area of a tile.

Area of kitchen,

A(k) = 64 x 24 = 1536 Square inches

Area of a tile,

A(T) = 4 x 4 = 16 square inches.

Divide the area of the kitchen by the area of a tile.

N = 1536 / 16 = 96 tiles

Therefore, the minimum number of tiles that will be needed to completely cover the countertop to its edges is 96.

To know more about an area follow

https://brainly.com/question/25292087

#SPJ2

Please help me expand theses and then help me factorise these brackets

Answers

Answer:

-9xy+16x

Step-by-step explanation:

x(y-2) +3x(6-y) -7xy

Distribute

xy -2x +18x-3xy -7xy

Combine like terms

-9xy+16x

Answer:

-9xy+16x

Step-by-step explanation:

x(y-2)+3x(6-y)-7xy

xy-2x+18x-3xy-7xy

xy-3xy-7xy-2x+18x

-9xy+16x

Help please me please help me

Answers

Answer: (3, 18)

Step-by-step explanation: Where the lines corss the x does not go over 10 so the only other option is a 3. If you cut the box hori in half in you mind, the top half being 15-20 and the bottom half bring 10-14, then you can see the lines cross on the top half. Meaning it’s at 18 not 12.

Anybody know how to do the last 2. Pls its due in the morning!

Answers

19°

The unknown angle be x

x=59°(Exterior opposite angles..

20:-

If unknown angle be x

[tex]\\ \sf\longmapsto x+76=180[/tex]

[tex]\\ \sf\longmapsto x=180-76[/tex]

[tex]\\ \sf\longmapsto x=104°[/tex]

Which expression is equivalent to
(4x2x3)(3x*y)2?

Answers

Answer:

48(3xy)

Step-by-step explanation:

(4 * 2 * 3)(3xy)2

24(3xy)2

48(3xy)

Help me find x- geometry

Answers

Answer:

We know that,

The sum of the two opposite angles of a circular quadrilateral is 180 degrees.

So,

[tex] \sf {47}^{ \circ} + 7x + {21}^{ \circ} = {180}^{ \circ} \\ = > 7x = {180}^{\circ} - {47}^{\circ} - {21}^{\circ} \\ = > 7x = 112 \\ = > x = \frac{112}{7} \\ = > x = {16}^{\circ} \\ [/tex]

The opposite angles in a cyclic quadrilateral are supplementary. i.e., the sum of the opposite angles is equal to 180˚

Using the above theorem

47 + 7x + 21 = 180

7x + 68 = 180

7x = 180 - 68

7x = 112

x = 112/7

x = 16

Therefore value of x is 16°

Answered by Gauthmath must click thanks and mark brainliest

9/7 = please answer me​

Answers

Answer:

[tex] \frac{9}{7} = 1.2857 = 1 \frac{2}{7} [/tex]

Answer:

Step-by-step explanation:

[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol {\frac{9}{7}=1\frac{2}{7} \ \ or \ \ 1.(28571)}[/tex]

PLS HELP ASAP!!

Solve the inequality for 0 √2sinx+√2cosx>0

a. 0 b. 3π/4 c. 0 d. 0

Answers

Answer:

2

Step-by-step explanation:

w

Resuelve los siguientesTriángulos semejantes, Obteniendo el valor de la incógnita faltante en cada caso

Answers

Answer:

hjk

Step-by-step explanation:

Use the parabola tool to graph the quadratic function f(x)=(x−5)2+1 . Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answers

Answer:

Vertex (5, 1)

Example of second point (4, 2)

Step-by-step explanation:

THe equation given is in vertex form so it will be easy to find the vertex

(x-5)^2+1

Vertex is at h,k and vertex form is y = a(x−h)^2 + k

x coordinate will be 5

y coordinate will be 1

vertex - (5, 1)

You can plot a second point by plugging in any number into the x or y

For example, if you set x to be 4,

(4-5)^2+1

1^2+1

1+1=2

PLEASE HURRY

A. 70.8 ft^2
B. 69.1 ft^2
C. 65.8 ft^2
D. 73.6 ft^2

Answers

Answer:

D. 73.6 ft^2

Step-by-step explanation:

Using trigonometry to get our answer: (we can use SAS to find the area)

A = 0.5 * side a (10ft) * side b (16ft) * sin(67)

A = 80 ft * sin(67)

A = 73.64 ft

Someone help me on this, thats my illustration for it its a lil long

Answers

The uppercase letters are the angles, while the lowercase letters are the sides. We have side 'a' opposite angle A, side b opposite angle B, side c opposite angle C.

We have this given info:

A = 25a = 13.2b = 25.5

Let's use the law of sines to find angle B

sin(B)/b = sin(A)/a

sin(B)/25.5 = sin(25)/13.2

sin(B) = 25.5*sin(25)/13.2

sin(B) = 0.81642164

B = arcsin(0.81642164) or B = 180 - arcsin(0.81642164)

B = 54.72817392 or B = 180 - 54.72817392

B = 54.72817392 or B = 125.27182608

When rounded to the nearest whole degree, we get B = 55 or B = 125.

However, I'll use the slightly more accurate values of B for the next two sections.

---------------------------------------

Let's consider the case that B = 54.72817392

This would have to mean

A+B+C = 180

C = 180-A-B

C = 180-25-54.72817392

C = 100.27182608  which rounds to C = 100

Through the law of sines we can say

c/sin(C) = a/sin(A)

c = sin(C)*a/sin(A)

c = sin(100.2718 2608)*13.2/sin(25)

c = 30.73327084 which rounds to c = 30.7

One solution is

A = 25, B = 55, C = 100

a = 13.2, b = 25.5, c = 30.7

As you can probably guess, the phrasing "solve the triangle" means find all sides and angle measures.

---------------------------------------

Now we'll consider the case that B = 125.27182608

We follow the same steps as the previous section

A+B+C = 180

C = 180-A-B

C = 180-25-125.27182608

C = 29.72817392 which rounds to C = 30

and

c/sin(C) = a/sin(A)

c = sin(C)*a/sin(A)

c = sin(29.72817392)*13.2/sin(25)

c = 15.48842618 which rounds to c = 15.5

The other solution is

A = 25, B = 125, C = 30

a = 13.2, b = 25.5, c = 15.5

Check out the diagrams below.

Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x)= 4x + 2 The function g of x going through 0, negative 2 and 1, 3 (1 point) The function f(x) has a larger slope. The function g(x) has a larger slope. They both have the same slope. The relationship between slopes cannot be determined.

Answers

Answer:

g(x) has the larger slope.

Step-by-step explanation:

f(x) = 4x + 2

- so its slope = 4.      ( from general form y = mx + c where m = slope).

The slope of g(x) = (3 - (-2) / (1 - 0)

= 5.

If g(x) = 2(x − 4), find the value of x if g(x) = 20

Answers

Answer:

x=14

Step-by-step explanation:

g(x) = 2(x − 4)

Let g(x) = 20

20 = 2(x − 4)

Divide each side by 2

20/2 = 2(x-4)/2

10 = x-4

Add 4 to each side

10+4 = x-4+4

14 =x

which inequality is represented on the number line shown?

Answers

Answer:

A

Step-by-step explanation:

b/ of shaded region can make to closed inequality & it's not closed to make open inequality.

Sat prep find the value of x in each of the following exercises

Answers

Answer:

155°

Step-by-step explanation:

Consider straight line and complementary angle properties and use following equation:

(90° - (180° - x)) = 180° - (60° + (90° - 35°)) x - 90° = 180° - (60° + 55°)x = 90° + 65°x = 155°

Answer:

x=115 degrees

Step-by-step explanation:

Tristan wants to build a square garden in his backyard that will cover an area of 75 ft.² a person has 32 feet of material for the parent perimeter of the garden does he have enough explaine

Answers

Answer:

your try this is not the named above the new one in my case I can you tell the truth be the first and foremost is not in any form is

Step-by-step explanation:

ydu is not working in the past two days in my head of my head to be in town on your phone is to

Material of 32 feet with the person is not sufficient to cover the square garden.

Tristan wants to build a square garden having area = 75 square feet

Since, Area of a square is given by the expression,

Area = (Side)²

By substituting the value of area in the expression,

75 = (Side)²

√75 = √(Side)²

5√3 = Side

Side = 8.66 feet

Since, perimeter of a square is given by the expression,

Perimeter of a square = 4(side)

Therefore, Perimeter of the square garden = 4(8.66)

                                                                        = 34.64 feet

A person has a material of length = 32 feet

If the length of the material is enough to cover the square field,

Length of the material ≥ Perimeter of the garden  

32 feet ≥ 34.64 feet

Which is false.

      Therefore, material is not of enough length to cover the square garden.

Learn more,

https://brainly.com/question/10824107

ASAP PLEASE HELP MEEEEEEEEEEEEEEEEE

Answers

Step-by-step explanation:

What is the correct answer!

Answers

Answer:

The answer is B.

Step-by-step explanation:

Please let me know if you want an explanation for why this is the answer (comment on this). A lot of people don't actually read the explanations, so I wouldn't want to waste my time. However, if you would like it I would be more than happy to type one out for you. Thanks!

What is the underlined sentence mean can someone explain

Answers

Step-by-step explanation:

1235

Now when we talk about place values we have ones tens hundreds thousands ten thousands and so on. So when you look at no.1 its place value is ones because 1 is the first value.

So 2 is in tens.

Now the difference of tens and hundreds is tens follows the 2 place value and hundreds the next.

HOPE ITS HELPFUL

Answer:

4544

Step-by-step explanation:

The underlined sentence means that the 2nd and third values must be different, for example

4554 has 5 in the 2nd and 3rd place so cannot be this

4545 and 4544 have 4 and 5 in 2nd/3rd place so this is fine

Since the number is even then it is 4544

I'm unsure if I got the correct answer, mind if you help?

Answers

Answer:

Yes, you got the correct answer, it's y=-4

Other Questions
How does money influence the political system In the U.S? Addison drove 960 miles in 16 hours what was her speed in miles per hour Estimate the value of \frac{\sqrt{2\pi }}{\sqrt{5}} In the embryos of a typical dicot and a grass, true homologous structures are:Immersive Reader (1 Point) (a) Coleorhiza and coleoptile (b) Coleoptile and scutellum (c) Cotyledons and scutellum (d) Hypocotyl and radicle. The equation y - 5 = 6X + 1 is written as point-slope form. What is the equation written in slope intercept form Which of the following correctly completes circle #1 in the chart above?A. militaryB. citizensC. schoolsD. businessesPlease select the best answer from the choices providedABD CHECK MY ANSWERS PLEASE____The sequence is geometric:3, 13, 23, 33,...TrueFalse***_____________________The sequence is geometric:5, -25, 125, -625,...True***False What is essential to remember when simplifying a cube root compared to a squareroot? Based on a predicted level of production and sales of 12,000 units, a company anticipates reporting operating income of $26,000 after deducting variable costs of $72,000 and fixed costs of $10,000. Based on this information, the budgeted amounts of fixed and variable costs for 15,000 units would be Roger has 50 ounces of water. If he drinks 30% of it, howmuch water will he have left? The following medical scenario presents information on one of the pathological conditions discussed in this chapter. Read the scenario carefully and select the most appropriate answer for each question that follows. Ginger Black, a 15-year-old patient, is visiting her pediatrician today for a physical. The health care professional explains to Ginger and her mother that Ginger will be screened for scoliosis today during her physical exam. Ginger asks the health care professional if there are any symptoms of scoliosis. The health care professional would respond by explaining to Ginger and her mother that symptoms of scoliosis are: Can someone help me solve this 3 Peroxisomes are cellular organelles: A. with their own genome B. present only in protists C. without membrane OR D. collaborating with the nucleus O E site of some oxidation reactions On January 16, 1917, in a clear attempt to convince the Mexican government to help Germany in the war, Arthur Zimmermann, the German foreign secretary, sent a telegram to Count von Bernstorff, the German ambassador in Washington. The foreign secretary wanted to be certain that this message reached von Bernstorff, so he made arrangements for it to be carried aboard a U-boat to Sweden and from there to Washington through diplomatic channels. The Dark Game, Paul Janeczko Which piece of textual evidence best supports the inference that the message Zimmermann sent was very important? Check all that apply. On January 16, 1917 a clear attempt to convince the Mexican government to help Germany in the war Arthur Zimmermann . . . sent a telegram to Count von Bernstorff The foreign secretary wanted to be certain that this message reached von Bernstorff he made arrangements for it to be carried aboard a U-boat On July 1, 2020 Garcia Corporation issued 5%, 10-year bonds with a face value of $8,000,000 at 96. Interest is paid on Jan 1 and July 1, with any premiums or discounts amortized on a straight-line basis. Bond interest expense reported on the December 31, 2020 income statement of Garcia Corporation would be HELP ME SOMEONE PLEASE!!!!!!!!!!! Rushdie points out the number of characters who weep in The Wizard of Oz:______. Dorothy cries tears of frustration before being allowed to enter the Wizards palace, the guard at the palace becomes sodden with tears, the Cowardly Lion cries when Dorothy hits him on the nose, the Tin Man nearly rusts up again from crying, and Dorothy cries again when captured by the Witch (223). Which is a feature of a single replacement reaction? Which of the following best states an interpretation of the second amendment Entering 38.00 into the Price of Sneakers field Entering 6.00 into the Price field Entering 3.00 into the Price of Leather field True or False: You will no