Which can be the first step in finding the equation of the line that passes through the points (5, negative 4) and (negative 1, 8) in slope-intercept form?
Calculate StartFraction 8 minus (negative 4) Over negative 1 minus 5 EndFraction = StartFraction 12 Over negative 6 EndFraction = negative 2..
Calculate StartFraction negative 1 minus 5 Over 8 minus (negative 4) EndFraction = StartFraction negative 6 Over 12 EndFraction = negative one-half..
Find that the point at which the line intersects with the line y = 0 is (3, 0).
Find that the point at which the line intersects with the line x = y is (2, 2).

so the scatterplot will more or less look like the one in the picture below.

Answer:

x = -2y

Step-by-step explanation:

Simplifying

600x + 200y = 500x

Solving

600x + 200y = 500x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-500x' to each side of the equation.

600x + -500x + 200y = 500x + -500x

Combine like terms: 600x + -500x = 100x

100x + 200y = 500x + -500x

Combine like terms: 500x + -500x = 0

100x + 200y = 0

Add '-200y' to each side of the equation.

100x + 200y + -200y = 0 + -200y

Combine like terms: 200y + -200y = 0

100x + 0 = 0 + -200y

100x = 0 + -200y

Remove the zero:

100x = -200y

Divide each side by '100'.

x = -2y

Simplifying

x = -2y

hope this helps!

ibrahim

The probability is the ratio of the favorable event to the total number of events. The P(C|Y) is 0.5. Then the correct option is B.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

According to the problem, the table is made

                          X               Y               Z               Total

  A                    32              10             28                 70

  B                     6                5              25                 36

  C                    18               15              7                   40

Total                 56              30             60                146

Then the probability of will be

[tex]\rm P(C|Y) = \dfrac{15}{30}\\\\P(C|Y) = 0.5[/tex]

The P(C|Y) is 0.5. Then the correct option is B.

More about the probability link is given below.

https://brainly.com/question/795909

Already answered here: https://brainly.com/question/26919792

Answer:

65 coins

Step-by-step explanation:

Set this problem up with a porportion.

[tex]\frac{?}{260} \frac{25}{100}[/tex]

After that, cross multiple and divide.

25 times 260. Then divide by 100. That is then your answer.

Answer:

[tex]49m^{4} +28m^{3} +4m^{2}[/tex]  

Last Answer

Step-by-step explanation:

Answer:

[tex]49m {}^{4} + 28m {}^{3} + 4m {}^{2} [/tex]

explanation:

[tex]7m {}^{2} (7m {}^{2} + 2m) + 2m(7m {}^{2} + 2m) \\ \\ 49m {}^{4} + 14m {}^{3} + 14m {}^{3} + 4m {}^{2} \\ \\ 49m {}^{4} + 28m {}^{3} + 4m {}^{2} [/tex]l

]

The answer is 10.

Step-by-step explanation:

I have the same question on some tests of mine

Answer: (228.7, 241.3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sarah swam the diagonal length of a right-angled triangle with sides of river width, 193m and how far she was swept downstream, 67m.

By Pythagorean Theorem, distance swam = sqrt(193^2+67^2)

= 204.3 m

Apply Pythagorean theorem

[tex]\\ \rm\rightarrowtail H^2=P^2+B^2[/tex]

[tex]\\ \rm\rightarrowtail H^2=193^2+67^2[/tex]

[tex]\\ \rm\rightarrowtail H^2=41738[/tex]

[tex]\\ \rm\rightarrowtail H=204ft[/tex](Approx)

The solution(s) for the provided graph are (0, 6) and (6, 0)

The solution of the system of equations is the intersection of the two equations.

In the image provided, we can see two solutions (intersection points) that are intersected by a line and a circle.

Those two solutions are:

Answer:

[tex]A = 50.24[/tex] Sq. M.

Step-by-step explanation:

Formula: [tex]A = \pi r^{2}[/tex]

[tex]A = \pi (4)^{2}[/tex]

[tex]A = 16\pi[/tex]

[tex]A = 16 (3.14)[/tex]

[tex]A = 50.24[/tex] Square Meters

Answer:

  (i) gradient: 2/3

  (ii) equation: y -1 = 2/3(x +1)

  (iii) area: 10 square units

  (iv) length: 4.12 units

Step-by-step explanation:

The gradient of a line is found by using the slope formula with two points on the line. The length between points is found using the distance formula, which is based on the Pythagorean theorem. The equation of a line can be written in several forms. One is the point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

__

The points A and B can be used in the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (5 -1)/(5 -(-1)) = 4/6 = 2/3

The gradient of the line is 2/3.

__

Using the found slope in the point-slope equation with point A, we find the equation of the line to be ...

  y -1 = 2/3(x +1)

__

The area of a triangle is found from the formula ...

  A = 1/2bh . . . . . triangle with base b and height h

The base length will be the difference in x-coordinates of the horizontal segment AC: 4 -(-1) = 5.

The height will be the difference in y-coordinates from that horizontal segment and point B: 5 -1 = 4

Then the area of ABC is ...

  A = 1/2(5)(4) = 10 . . . . square units

The area of ΔABC is 10 square units.

__

The length of BC is found from the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((5 -4)² +(5 -1)²) = √(1 +16) = √17

  d ≈ 4.12 . . . . units

The length of BC is about 4.12 units.

Answer:

7598.8 [tex]cm^{2}[/tex]

Step-by-step explanation:

v (volume) = π[tex]r^{2}[/tex]h

v = 3.14 x [tex]11^{2}[/tex] x 20

v = 3.14 x 121 x 20

v = 7598.8

Answer:

7598.8 cm³

Step-by-step explanation:

Given :-

height = 20 cm

radius = 11 cm

value of π = 3.14

Formula to be used :-

Volume of cylinder = πr²h

Inputting the values :-

V = 3.14 x 11 x 11 x 20

= 3.14 x 121 x 20

= 3.14 x 2420

= 7598.8 cm³

Hello.

First, "twice a number" means we multiply 2 times that number.

Let the number be s.

Now, the sum of 2 times s and 5 is 21.

The product of 2 and s can be written like so:

[tex]\sf{2s[/tex]

Now, the sum of 2s and 5 is 21:

[tex]\sf{2s+5=21[/tex]

Subtract 5 from both sides:

[tex]\sf{2s=21-5[/tex]

[tex]\sf{2s=16}[/tex]

Now, divide both sides by 2:

[tex]\Large\boxed{\sf{s=8}}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

x = 8

Step-by-step explanation:

Let the required number be x.

According to the given question,

=> 2x + 5 = 21

=> 2x = 21 - 5

=> 2x = 16

=> x = 16/2

=> x = 8

Answer: D

Step-by-step explanation: payment equals to money earned per hour (p=6.25h).

Using linear function concepts, it is found that the maximum whole number of kilometres that can be travelled in one week with Carz if it is to cost less than it would with Renta is of 399.

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

For each car, Cart and Renta, the linear functions are given by:

C(k) = 90 + 0.15k

R(k) = 110 + 0.1k

Cart will cost less than Renta if:

C(k) < R(k)

Hence:

90 + 0.15k < 110 + 0.5k

0.05k < 20

k < 400

Hence, the maximum whole number of kilometres that can be travelled in one week with Carz if it is to cost less than it would with Renta is of 399.

More can be learned about linear function concepts at https://brainly.com/question/24808124

Answer:

[tex] \frac{4.1}{100} \times 714.73 = 29.30 \\ 714.73 - 29.30 = 685.43[/tex]

divide 4.1 with 100percent because per5 is always over 100 them multiply by the amount given

Step-by-step explanation:

subtract 29.30 from 714.30

subtract calculated amount from amount given

get yr final answer

Answer:

let the other number be x.

then,X+5=10

X =10-5

X=5

Step-by-step explanation:

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

Explanation:

As that list above shows, adding any two sides results in a sum larger than the third remaining side. The conditions of the triangle inequality theorem have been met to allow for a triangle to be formed.

In general the triangle inequality theorem is:

The order doesn't matter. All that's important is that all three conditions are met.

The rectangular prism having a length of 1 feet, width of 2 feet and that

is 1 feet deep, gives the area Mila stained as 8 square feet.

The given dimensions of the rectangular prism bin are;

Length of the bin = 2 foot

Width of the bin = 1 feet

Depth of the bin = 2 feet

Required:

The surface area of the rectangular prism bin.

Solution:

The surface area, S. A., of the rectangular prism bin is given as follows;

S. A. = Length × Width + Depth × Width + Length × Depth

Which gives;

S. A. = 2 × 1 + 2 × 1 + 2 × 2 = 8

Learn more about surface area of a rectangular prism here:

https://brainly.com/question/987829

69 (x_x) (x_x) (x_x) (x_x) (x_x) (x_x) (x_x) (x_x) (x_x)

Step-by-step explanation:

x=6

y=-4

3x+x / y-y^2

3(6)+6/-4-(-4)^2

24/-20

= -1.2

Answer:

x= 0 and y=1

Step-by-step explanation:

1st multiply the first equation by 3

3 (3x-2y=2)

9x-6y=6

multiply the next equation by 2

2 (5x-3y=3)

10x-6y=6

subtract equation 1 from 2

(10x-6y)-(9x-6y)=6-6

10x-9x-6y+6y=0

x=0

put X in equation 1

3 (0)-2y=2

-2y=2

y=-1

so X and y are 0 and -1 respectively

Answer:

12

Step-by-step explanation:

=> √16 • √9

=> Take square roots

=> 4 • 3

=> 12

Answer:

[tex]\frac{4}{15}[/tex] kilograms

Step-by-step explanation:

  We will take the total amount of beads and divide it by 3, since there are 3 friends.

[tex]\frac{4}{5}[/tex] kg / 3

[tex]\frac{4}{5}[/tex] kg * [tex]\frac{1}{3}[/tex]

[tex]\frac{4*1}{5*3}[/tex]

[tex]\frac{4}{15}[/tex] kg

Each friend recieves [tex]\frac{4}{15}[/tex] kilograms of the beads.

Answer:

x = 12

y = -23

Step-by-step explanation:

to solve for this i think we have to do:

   y = -3x + 13

   -

   y = -2x + 1

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

   0 = -x + 12

-x = -12

x = 12

then i think.... i think you have to substitute to one of the equations

y = -3(12) + 13

y = -36 + 13

y = -23

then to check we substitute  to the second equation

-23 = -2(12) + 1 ?

-23 = -24 + 1?

-23 = -23

Answer:

help me

Step-by-step explanation: