Write an equation for a line that passes through points (-6, 1), (1, 4), (5, 6)

Answer:

y = -5x + 9

Step-by-step explanation:

Slope-intercept form of an equation is:

y = mx + b

Since they gave you the slope and y-intercept, it is kind of a fill-in-the-blank problem. Nothing to calculate!

Fill in the slope for the m. Fill in the y-intercept for the b.

y = -5x + 9

I will assume that we are trying to find the slope between (2,-6) and (-9,-6)

The slope's equation ⇒  [tex]\frac{y2-y1}{x2-x1}[/tex]

Let's set the variables:

    (x1, y1) --> (2, -6)

    (x2, y2) --> (-9, -6)

Now let's plug them in:

 [tex]Slope = \frac{-6--6}{-9-2} =\frac{0}{-11} =0[/tex]

Thus the slope of the line is 0.

Hope that helps!

Answer:

x = 6.08 units

Step-by-step explanation:

For a right triangle

sin = opp leg / hyp

for this triangle    sin 34 =  3.4 / x    re-arrange to

                         x = 3.4 / sin34   = 3.4 / .5591 = 6.08

1/2

hope it helps..!!!!!

Answer: ....

Ok done. Thank to me :>

The probability of randomly removing a yellow bead is 0.8 or 80% if the bag contains 15 beads that are either red or yellow the probability of randomly removing a red bead is 20%.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We have the probability P(R) of randomly removing a red bead is 20%.

Let's suppose the number of red beads is n(R)

[tex]\rm P(R) = 20\% \Rightarrow 0.20\\\\\rm \frac{n(R)}{15} = 0.20[/tex]

n(R) = 15×0.20

n(R) = 3

Number of yellow beads = 15 -3 = 12

The probability randomly removing a yellow bead:

[tex]=\rm \frac{12}{15}[/tex]

= 0.8 or 80%

Thus, the probability of randomly removing a yellow bead is 0.8 or 80% if the bag contains 15 beads that are either red or yellow the probability of randomly removing a red bead is 20%.

Learn more about the probability here:

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Answer:

  9.  3x² +x -2y +5 = 0

  10.  4x² +x -y +4 = 0

  11.  9x² -6x -3y -12 = 0

Step-by-step explanation:

"General form" of a polynomial equation is ...

  f(x, y) = 0

where the terms are arranged in lexicographical order and decreasing degree. That is, for terms of the same degree, x-terms are listed before y-terms, and xy terms are listed before y-only terms.

The leading coefficient can be positive or negative, your choice. (Positive is generally preferred.) For linear equations, "standard form" has the coefficients mutually prime. Making that happen for a general form polynomial would be your choice.

__

The highest-degree term is 3x². If we keep the leading coefficient positive, we can get general form by subtracting the expression on the left side of the equal sign.

  3x² +x -2y +5 = 0

__

Subtracting the right side gives ...

  4x² +x -y +4 = 0

__

Subtracting the left side gives ...

  9x² -6x -3y -12 = 0

or

  3x² -2x -y -4 = 0 . . . . . . remove a common factor of 3

Answer:

Assuming

Step-by-step explanation:

If he has a wreck he will ASSUME the risk....his loss

well because he did not do it

Notice how

2x-5 = 2x - 2*2.5 = 2(x-2.5)

This means we can replace x with x-2.5 in the second step, in the "wrong way" column.

So,

y = ln(2x)

y = ln( 2(x-2.5) )

y = ln( 2x - 2*2.5 )

y = ln( 2x - 5 )

In the second step, the x-2.5 tells the reader to shift the curve 2.5 units to the right. Therefore, the 1/2 = 0.5 would shift to 0.5+2.5 = 3 as indicated by the correct graph.

Step-by-step explanation:

|7x+4|≤18

7x+4≤ 18. 7x+4≥-18

x≤2. x≥-22/7

2≤x≤-22/7

Answer:

d= 7.62

Step-by-step explanation:

(-1,3)(2,-4)

the formula of distance is-

[tex]d=\sqrt{((x_{2}-x_{1})^2 + (y_{2}-y_{1})^2)} \\\\d=\sqrt{(2+1)^2+(-4-3)^2}\\ d=7.62[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \tt \dashrightarrow \:(3 {x}^{5} \times 2xy) - ( {x}^{2} y \times 4 {x}^{4} )[/tex]

[tex]\qquad \tt \dashrightarrow \:6 {x}^{6} y - 4 {x}^{6} y[/tex]

[tex]\qquad \tt \dashrightarrow \:2 {x}^{6} y[/tex]

= (3x^5× 2xy) — (x^2y × 4x^4)

= 6x^6y - 4x^6y

= 2x^6y

Answer:

∠s = 158

Step-by-step explanation:

Since lines a and b are parallel,

∠s and 158 are alternate exterior angles.

Alternate exterior angles are equal if two lines are parallel.

So,

∠s = 158

Answer: 22°.

Step-by-step explanation: We're given the angle 158°, which is all we need. Angle u and 158°, have to add up to 180°.  180° - 158° = 22°, which is the angle measure of u.  You're probably wondering how this will help us.  The answer to that is it gives us the measurement of angle t, which is 158°.  Now, we'll do the same thing we did with angle u, which was to make angle u add up with 158° to make 180°.  We'll apply this to angle t and angle s.  We already know that angle t is 158°, so angle s has to be 22° in order to add up to 180°.  Therefore, your answer is 22° for angle s.

Let me know if this is right! :)

The Area of the tray ≈380 cm

Hope it helps.

Do comment if you have any query.

Answer:

Going left to right:

2/5

1/5

1/4

13/10

Step-by-step explanation:

Answer:

$76

Step-by-step explanation:

Answer:

32,708.3 cu. ft

Step-by-step explanation:

First we find the volume of a sphere with the same dimensions

is the formula for the volume of a sphere

substitute the radius with 25 because radius is half the diameter and use 3.14 for pie. The answer to that formula is 65,416.6

Since you're finding the volume of a hemisphere, divide the volume of the sphere in half

65,416.6/2= 32,708.3

Answer:

Box 2 has 3 times the volume of Box 1....

The motions for the calculation -5+ (-37) is given as a small movement to the left followed by a large movement to the left.

An equation is an expression used to show the relationship between two or more numbers and variables.

The expression -5+ (-37) can be solved using a number line. The motions for the calculation -5+ (-37) is given as a small movement to the left followed by a large movement to the left.

Find out more on equation at: https://brainly.com/question/2972832

Answer:

small movement to the left followed by a large movement to the left.

Step-by-step explanation:

Using quadratic function concepts, it is found that the system that models the height of the tennis ball and the height of the dog's mouth over time is given by:

h(t) = -16t² + 18t + 4.5 and h(t) = -16t² + 21t + 1.5.

It is given by:

h(t) = -16t² + v(0)t + h(0)

In which:

For the tennis ball, we have that v(0) = 18, h(0) = 4.5, hence the equation is:

h(t) = -16t² + 18t + 4.5.

For the dog jump, we have that v(0) = 21, h(0) = 1.5, hence:

h(t) = -16t² + 21t + 1.5.

Hence, the system is given by:

h(t) = -16t² + 18t + 4.5 and h(t) = -16t² + 21t + 1.5.

More can be learned about quadratic function concepts at https://brainly.com/question/24737967

Answer:

D) h = -16t2 + 18t + 4.5 and h = -16t2 + 21t + 1.5

Step-by-step explanation:

The next answer is, "the time at which the ball and the dog's mouth are at the same height"

Answer:

Step-by-step explanation:

Answer:

Cost for person is not always the same

For 80 dollars predicted would be 10 people

Step-by-step explanation:

4 people 36 dollars = 9 each

8 people 64 dollars = 8 each  

9 people 72 dollars = 8 each       seems to flatten at 8 dollars each

Answer:

Triangular prism

Step-by-step explanation:

There is one rectangular prism at the bottom and one triangular prism at the top.

Answer:

It is a square pyramid

Step-by-step explanation:

Answer:

i think it's 14c5 sincce theres 5 colors to choose from .

Answer:

its B- 6 sq. cm.

Step-by-step explanation:

1/2 times base times height

1/2 x 4 x 3

6

Answer:

The answer is given below

Step-by-step explanation:

[tex]area = \frac{1}{2} \times base \times perpendicular[/tex]

[tex]area = \frac{1}{2} \times 3 \times 4[/tex]

Area = 1/2 * 12

Area = 6

Answer:

Step-by-step explanation:

The circumference formula is

The ratio of the radius to the circumference is

or

r : C = 1 : 6.28

Formula's:

circumference of any circle: 2πr

radius: r

Their ratio:

radius : circumference

r : 2πr

r : 2(3.14)r

1 : 6.28

Answer:

I think 4000000000

Answer: 4,321,109,432 rounded to the nearest billion is 4,000,000,000

Step-by-step explanation:

First, you find the billions place which is right here:

4,321,109,432

Look to the number to the right of it. Is it greater or less than 5? Since it's less, you round down to 0, leaving a 4 and 3 sets of 3 zeroes.

Answer:

3x+21=57

Step-by-step explanation:

When we use distributive property we do

[tex]3*x[/tex] and [tex]3*7[/tex] which will like this when rewritten [tex]3x+21=57[/tex]

Check answer:

[tex]3x+21=57\\-21=-21\\3x=36[/tex]      [tex]\frac{3x}{3} =\frac{36}{3}[/tex]

x=12    3(12)+21=57

36+21=57