The line passes through points A (6:0) and B(O:4). Write the equation of the line.​

Answers

Answer 1

Answer:

y = (-2/3)x + 4 or

3y = -2x + 12

Step-by-step explanation:

Slope of line passing through (x₁, y₁) and (x₂, y₂) is given by
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

In this particular case where the points are (6,0) and (0,4) we get the slope as (4-0)/(0-6) = -2/3

Equation of a line with slope m and y intercept c is given by

y = mx + c

substituting for m we get the equation y = (-2/3)x + c

Substituting the first point (6,0) we get

0 = (-2/3)(6) + c or -4 + c = 0 or c =4

Therefore y = (-2/3)x + 4 or multiplying both sides by 3 we get

3y = -2x + 12


Related Questions

100 Points for this Question. PLEASE HELP ASAP.

Answers

[tex]\\ \rm\Rrightarrow \dfrac{AB}{AD}=\dfrac{BC}{CD}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{18}{x}=\dfrac{19}{11}[/tex]

[tex]\\ \rm\Rrightarrow 19x=198[/tex]

[tex]\\ \rm\Rrightarrow x=10.4[/tex]

Answer:

x = 10.4 (nearest tenth)

Step-by-step explanation:

Angle Bisector Theorem

The angle bisector of any angle in a triangle will divide the side opposite the bisected angle in the ratio of the sides containing the angle.

Therefore:

AD : DC = BA : BC

Given:

AD = xDC = 11BA = 18BC = 19

Substituting the given values into the ratio and solving for x:

[tex]\implies \sf x : 11 = 18 : 19[/tex]

[tex]\implies \sf \dfrac{x}{11}=\dfrac{18}{19}[/tex]

[tex]\implies \sf 19x=18 \cdot 11[/tex]

[tex]\implies \sf 19x=198[/tex]

[tex]\implies \sf x=\dfrac{198}{19}[/tex]

[tex]\implies \sf x=10.4 \: (nearest\:tenth)[/tex]

x^2=6x+1

1) rewrite the equation by completing the square

2) what are the solutions to the equation?

Answers

Answer:

x=+-√10+3

Step-by-step explanation:

x^2=6x+1

x^2-6x=1

To create a trinomial square on the left side of the equation, find a value that is

equal to the square of half of b

a is the number next to x^2

b is the number next to x

c is the last number

b is -6

half of b is -3

square of half of b is 9

put 9 on both sides of the = sign

x^2-6x+9=1+9

x^2-6x+9=10

(x-3)^2=10

take the square root of both sides of the = sign

√(x-3)^2=√10

x-3=√10

x=+-√10+3

The area of a rectangular field is 6942m2. If the length of the field is 89m, what is its width?

Answers

Answer:

78m

Step-by-step explanation:

6942 ÷ 89 = 78, here you go!

Can somebody help me find the area ?

Answers

area of rectangle= length × width

= 19×33

= 627 sq units

I. Collect data from several fast food chains on the number of fat calories and grams of saturated fat in menu items. Record at least 12 ordered pairs of (fat calories, grams of saturated fat). Organize your data in a table. II. Make a scatter plot of the data on graph paper. Be sure to label the axes and use an appropriate title for the graph. You may wish to use a graphing calculator, spread sheet, or other technology resource (such as the graphing utility link below) to aid you in graphing. Create a Graph III. Draw a trend line for the scatter plot. Use the following scatter plot of the ordered pairs (fat grams, total calories) as an example. IV. Calculate the slope of the trend line. (Choose two points on the line and find vertical change over horizontal change.) Note: Graphing calculators and spread sheets have features with which to draw trend lines and determine the equation. You may choose to use one of these options. If you use technology, indicate what steps were taken to arrive at your equation. V. Using the slope and y-intercept, write the equation of the trend line ( y = mx + b). VI. Choose a "calories from fat" value that is not in your collected data set and that is at least 10 fat calories away from any collected value. Use the equation calculated in step V to predict the number of fat grams in an item having that number of fat calories. Be sure to show your work. VII. Search for an item in a fast food menu having the same number of fat calories as the one you chose above. (If you cannot find the exact value, get as close as you can.) Compare the calculated value from step VI to this actual value. Explain why (or why not) you would have expected your prediction (calculated value) to be close to the actual value.

Answers

The regression line is y = 10x + 125, and the value of calories is 135, and when x = 12 the value of y = 245 from the regression line, butbut the actual value is 225.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dot's relationship.

Here the scatter plot is not given, but we can draw the scatter plot using the data which is given with two variables such as (x, y) and the line which is best fit of the given data.

From the data given, we can write the line of best fit in slope and y-intercept form:

y = mx + b

Plug m = 10 and b = 125

y = 10x + 125

The number of fat grams in an item having that number of fat calories.

As we have the regression line:

y = 10x + 125

Put x = 1 in the regression line:

y = 10(1) + 125

y = 135 calories

For x = 12

y = 10(12)+125 = 245

But the actual value from the graph is 225.

Thus, the regression line is y = 10x + 125, and the value of calories is 135, and when x = 12 the value of y = 245 from the regression line, but but the actual value is 225.

Learn more about the line of best fit here:

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(100 points)Match each graph on the left with the functions on the right

Answers

Answer:

See below ~

Step-by-step explanation:

Graph 1 : y = -3x + 3

Graph 2 : y = 6x + 6

Graph 3 : y = 6x + 9

Graph 4 : y = -7x + 1

Recall slope intercept form of a line

y=mx+b

where b is y intercept

Whatever m be b is constant for line .

So we can find the equations through y intercepts

#1

y intercept near 5 but beneath 5

The most probable according to our options is 3

So equation is

y=-3x+3

#2

Y intercept just over 5 .It must be 6

y=6x+6

#3

y intercept around 10

.Most probable according to options is 9

y=6x+9

#4

Just above the origin the y intercept is present.

y=-7x+1

11. Using the triangle below, set up and solve
an equation in order to find the value of x.

Answers

Answer:

x = 27.4

Step-by-step explanation:

[tex]\sf \angle Q+ \angle R+ \angle S=180^{o} [/tex]

[tex]\sf 34.6 + 118 + x = 180[/tex]

Add 34.6 and 118 = 152.6

[tex]\sf 152.6+x=180[/tex]

Subtract 152.6 from both sides.

[tex]\sf x=180 - 152.6[/tex]

Subtract 152.6 from 180 = 27.4.

Therefore, the missing angle "x" is 27.4.

My friend recently proved 0=1 and i know something is wrong but i dont know what

Answers

√a × √b = √ab

only if at atleast one among a,b is positive

here both a,b is non negative so not possible

Step-by-step explanation:

Remember when expanding radicals,

[tex] \sqrt{ab} = \sqrt{a} \times \sqrt{b} [/tex]

When expanding radicals into two radicals, we don't let our radicand have two negative answers.

[tex]i = \sqrt{ - 1} [/tex]

[tex] {i}^{2} = - 1[/tex]

We don't do this

[tex] (\sqrt{ - 1} ) {}^{2} = \sqrt{ - 1 \times - 1} [/tex]

[tex] - 1 = \sqrt{1} [/tex]

[tex] - 1 = 1[/tex]

Karim is painting a design on a cylindrical
barrel. the height of the barrel is 1.2 m.
the radius of its base is 0.3 m. what area
will the paint have to cover? (remember to
include the bottom and lid of the barrel.)

Answers

8$$$ is the answer because of the barrel

Select the correct answer from each drop-down menu. the expression above can also be written in the form . for this expression, a = , b = , and c = .

Answers

The value of a, b and c from the given expression above are 15, 1 and 4 respectively

Indices expression

Indices are written in form of exponential expression. Given the expression

[tex]\sqrt[4]{15}[/tex]

We are to write the expression in the form

[tex]a^{b/c}[/tex]

This is simplified as shown

[tex]\sqrt[4]{15}= 15^{1/4}[/tex]

Compare both expression

a = 15

b = 1

c = 4

Hence the value of a, b and c from the given expression above are 15, 1 and 4 respectively

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help!
Giving brainiest

Answers

Answer:

1) 9y^10

2) 560u^16 v^15

Step-by-step explanation:

Please help giving 80 points
Graph the function on the coordinate plain

A)what are the x intercepts
B)what is the y intercepts
C)what is the maximum and minimum value

Answers

Answer:

X Intercepts: (2, 0), (-6, 0),

Y Intercepts: (0, – 12)

minimum: (-2,-16)

Step-by-step explanation:

A) what are the x intercepts

X- axis interception points of x²+ 4x– 12:

(2,0), (-6,0)

B)what is the y intercepts

Y-axis interception point of x² + 4X – 12:

(0, – 12)

X Intercepts: (2, 0), (-6, 0), Y Intercepts: (0, – 12)

C)what is the maximum and minimum value

Parabola equation in polynomial form

The parabola params are:

a=1, b=4,c= -12

xv= -b/2a

xv= -4/2.1

simplify

xv=-2

Plug in xv = -2 to find the yv value

yv= -16

Therefore the parabola vertex is (-2, – 16)

If a<0. then the vertex is a maximum value

If a>0. then the vertex is a minimum value

a=1

minimum=(-2,-16)

PLS ANSWER FAST TYYYYYSMMM!!!

Answers

Answer:

option 3, [tex]972\pi in^{3}[/tex]

Step-by-step explanation:

The formula to find the volume of a sphere is [tex]\frac{4}{3} \pi r^{3}[/tex]

where r os the radius

given: diameter = 18in

radius = diameter / 2

radius = 18 / 2

r = 9in

Plug in radius:

[tex]\frac{4}{3} \pi (9)^{3}\\\\\frac{4\pi (9)^{3}}{3} \\\\Factor (9)^{3}: (3)^{6}\\\\\frac{(3)^{6} * 4\pi }{3} \\\\[/tex]

cancel common factor: 3

[tex]3^{5} * 4\pi \\3^{5} = 243\\243 * 4\pi\\972\pi[/tex]

Let me know if you have any questions !

Please help me solve the value of H for +10 points.​

Answers

Answer:

133°

Hope this helps!!!

pls my test is tomorrow and its 11:30pm lol:(. so the question, a person at the top of a 25 yard tall hill looks down at a tree that is 100 yards diagonally away from the person. what is the angle of depression from the person to the tree

Answers

Answer:

76°

Step-by-step explanation:

Taking the cosine ratio of the angle of depression :

cos θ = height of hill / distance from person diagonallycos θ = 25/100cos θ = 1/4θ = cos⁻¹ (0.25)θ = 76° (nearest whole degree)

math hw 2

The Binomial Distribution



pls help me with my homework!!


thanks,

Answers

Using the binomial distribution, we have that:

a) The distribution is given by:

P(X = 0) = 0.0625.P(X = 1) = 0.25.P(X = 2) = 0.375.P(X = 3) = 0.25.P(X = 4) = 0.0625.

b) 0.3125 = 31.25%.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem, we have that:

There are 4 children, hence n = 4.Each children has a 50% chance of being female, hence p = 0.5.

The distribution is given by the probability of each outcome, hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.5)^{0}.(0.5)^{4} = 0.0625[/tex]

[tex]P(X = 1) = C_{4,1}.(0.5)^{1}.(0.5)^{3} = 0.25[/tex]

[tex]P(X = 2) = C_{4,2}.(0.5)^{2}.(0.5)^{2} = 0.375[/tex]

[tex]P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25[/tex]

[tex]P(X = 4) = C_{4,4}.(0.5)^{4}.(0.5)^{0} = 0.0625[/tex]

The probability of at least 3 daughters is given by:

[tex]P(X \geq 3) = P(X = 3) + P(X = 4) = 0.25 + 0.0625 = 0.3125[/tex].

More can be learned about the binomial distribution at https://brainly.com/question/24863377

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Pleaseee helppp???????

Answers

Answer:

240

Step-by-step explanation:

see photo for solution

It would be 240 grams reply back if you need the solution

Can you guys help me find x and y
x -2y =-3
8x -6y =16

-2y -2y = 20
x - 7y = 14

Answers

Step-by-step explanation:

x - 2y = -3,____1 , 8x - 6y = 16____ 2

x - 2y = -3

x = 2y -3 ____ equation 3

eqn 3 in 2

2=> 8x - 6y = 16

8(2y-3) - 6y = 16

16y - 24 - 6y = 16

10y = 16 + 24

10y = 40

y = 40 / 10

y = 4

y=4 in eqn 3

3=> x = 2y - 3

x = 2(4) - 3

x = 8 - 3

x = 5

x = 5 , y = 4

-2y-2y = 20 , x - 7y = 14___ 1

-2y-2y = 20

-4y = 20

y = 20/ -4

y = -5

y = -5 in eqn 1

1=> x - 7y = 14

x - 7(-5) = 14

x - (-35) = 14

x + 35 = 14

x = 14 - 35

x = -21

x = -21 , y = -5

Calculate volume of hemisphere with radius 3.2 cm
The volume, V, of a sphere with radius r is V = [4/3 pi r^3]

Answers

Answer:

V ≈ 68.63 cm³

Step-by-step explanation:

the volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex]πr³

the volume of a hemisphere is half the volume of a sphere, so

V = [tex]\frac{1}{2}[/tex] × [tex]\frac{4}{3}[/tex] πr³ = [tex]\frac{2}{3}[/tex] πr³ , then

V = [tex]\frac{2}{3}[/tex] π × 3.2³

  = [tex]\frac{2}{3}[/tex] π × 32.768

  ≈ 68.63 cm³ ( to 2 dec. places )

Bridget can type 2400 words in 40 minutes.
Krutika can type 2750 in 50 minutes.
Jim can type 3500 words in 70 minutes.
Who types at the fastest rate of words per minute?

Answers

Answer:

bridget types at the fastest rate as he can type 60 words per minute

Given the data below which set of numbers contains the lower quartile median and upper quartile help fast please !!

Answers

Answer:

{27.5, 29, 34}.

Step-by-step explanation:

In order they are

24 27 28 28 29 31 32 36 38

The Median = middle value = 29.

Lower quartile =  mean of 27 and 28 =  27.5.

Upper quartile =  mean of 32 and 36 = 34.

Answer:

{27.5, 29, 34}

Step-by-step explanation:

Arrange in increasing order :

24, 27, 28, 28, 29, 31, 32, 36, 38

Lower Quartile :

24 + 27 + 28 + 28 / 4107/426.75 ≈ 27.5 (closest based on options)

Median :

5th term29

Upper Quartile :

31 + 32 + 36 + 38 / 4137/434.25 ≈ 34

7. From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are 45° and 60° respectively as shown in Figure 3. Find the height of the transmission tower. ​

Answers

Answer:

Let DC be the tower and BC be the building. Then,

∠CAB=45

o

,∠DAB=60

o

,BC=20 m

Let height of the tower, DC=h m.

In right △ABC,

tan45 o = AB/BC

1=20/AB

AB=20m

In right∆ABD,

tan 60°=BD/AB

√3=h+20/20

h=20(√3-1)m

For the quadratic equation 3x^2-18x-21=0, x1 and x2 are the roots. Find:

x1^2+x2^2
|x1-x2|

Answers

(x_1+x_2)=-b/a=18/3=6

x_1x_2=c/a=-21/3=-7

So

(x_1+x_2)²-2x_1x_2=x_1^2+x2²x1²+x2²=(6)²-2(-7)=36+14=50

(x_1-x_2)²

x1²+x2²-2x_1x250+1464

x_1-x_2=8

Answer:

[tex]x{_1}^2+x{_2}^2=50[/tex]

[tex]|x_1-x_2|=8[/tex]

Step-by-step explanation:

Given equation:

[tex]3x^2-18x-21=0[/tex]

Factor to find the roots:

[tex]\implies 3(x^2-6x-7)=0[/tex]

[tex]\implies x^2-6x-7=0[/tex]

[tex]\implies x^2+x-7x-7=0[/tex]

[tex]\implies x(x+1)-7(x+1)=0[/tex]

[tex]\implies (x-7)(x+1)=0[/tex]

Therefore:

[tex]\implies (x-7)=0 \implies x=7[/tex]

[tex]\implies (x+1)=0 \implies x=-1[/tex]

Therefore, the roots of the quadratic equation are:

[tex]x = 7,\quad x = -1[/tex]

Let  [tex]x_1 = 7[/tex]

Let  [tex]x_2 = -1[/tex]

[tex]\implies x{_1}^2+x{_2}^2=7^2+(-1)^2=50[/tex]

[tex]\implies |x_1-x_2|=|7-(-1)|=8[/tex]

Equivalent fractions for 6/11 and 5/12 using the common denominator

Answers

well, the cheap answer is, simply multiply the top and bottom of one fraction by the other fractions denominator, Check the picture below.

Find the probability of each event.

A fair coin is flipped ten times. What is
the probability of the coin landing tails up
at least nine times?

Answers

Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem:

The coin is fair, hence p = 0.5.The coin is tossed 10 times, hence n = 10.

The probability that is lands tails up at least nine times is given by:

[tex]P(X \geq 9) = P(X = 9) + P(X = 10)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098[/tex]

[tex]P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001[/tex]

Hence:

[tex]P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108[/tex]

0.0108 = 1.08% probability of the coin landing tails up at least nine times.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

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Ms. Crane has a jar with 6 white marblos, 4 red marbles, and 5 blue marbles. If
she closes her eyes and picks one marble out of the jar, what is the probability
that it is not red?
A. 4/15
B. 2/5
C.11/15
D. 2/3

Answers

Answer:

11/15

Step-by-step explanation:

To find probability, you divide whatever you're looking for over your total. In this case, you have 11 marbles that are not red, and 15 marbles total, so your answer would be 11/15.

What is the Slope-Intercept form of the equation of a line that passes through the point (5,-3) and is parallel to the line y = 2x +3?​

Answers

Answer:

y = 2x + 7

Step-by-step explanation:

write 8.31752 to correct 3 decimal places

Answers

Answer:

8.318

Step-by-step explanation:

writing a number in three decimal places means writing the number in a way that there will be three digits in the number after the decimal point.

to three decimal places= 8.318

PLEASE HURRY, 100 POINTS!!
Another common bet in roulette is on the number being even or odd (not including 0 or 00). If the wheel is spun once, what is the probability of the outcome being an odd number?

Answers

Answer:

9/19  or  47.4% (nearest tenth)

Step-by-step explanation:

A roulette wheel is numbered 1 to 36 with 0 and 00.

Therefore, there is a total of 38 evenly-spaced pockets.

The number of odd numbers from 1 to 36 is 18

(1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35)

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \textsf{Probability of odd number}= \sf \dfrac{18}{38}=\dfrac{9}{19}=47.4\%[/tex]

Roulette wheel contains 1 to 36 numbers excluding 0 and 00

Total nos =38

Total odd nos

{1,3,5,7,9,11,13,15,17,19,21,23,25,29,31,33,35}

Total=18

Probability

18/389/19

find the value of x.

Answers

Answer:

74 I believe

180 - 32 = 148

148/2 = 74

Hope this helps!

Answer:

[tex]x + x + 32 = 180(sum \: of \: inside \: the \: triangle \: is180) \\ 2x = 180 - 32 \\ x = \frac{148}{2} \\ x = 74[/tex]

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