What is the equation of the line that has a slope of 1/3 and goes through the point (6, -2)?

Answer:

AB is parallel to A'B'.

DO,1/2 (1/2x, 1/2y) =

The distance from A' to the origin is half the distance from A to the origin.

Step-by-step explanation:

Answer:

(Note: This is assuming that the answer can be in any format.)

[tex]y - 0 = -\frac{1}{3} (x - 3)[/tex]

Step-by-step explanation:

When given at least two points, you can find write an equation using the point-slope formula: [tex]y - y_1 = m (x - x_1)[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] are the x and y values from one point that need to be substituted in to make an equation, as well as the [tex]m[/tex] which represents the slope.

Find the slope by using the slope formula [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] and the two points given:

[tex]\frac{-1-0}{6-3}[/tex]

[tex]\frac{-1}{3}[/tex]

So, the slope is [tex]-\frac{1}{3}[/tex].

Next, choose a point (in this case, I chose (3,0)) and substitute its x and y values into [tex]x_1[/tex] and [tex]y_1[/tex] respectively, and also substitute  [tex]-\frac{1}{3}[/tex] for m. This forms an equation of a line in point-slope formula:

[tex]y - 0 = -\frac{1}{3} (x - 3)[/tex]

Answer:

The lines intersect, but they're not parallel or perpendicular.

Answer:

j=13

Step-by-step explanation:

The equation for this problem is 7j=91.

I would divide 7 on both sides, which would be j=13.

Answer: 3:7

Step-by-step explanation:

There are 3 stars for every 7 circles, thus the ratio is 3:7.

Answer:

3 : 7.

Step-by-step explanation:

For every 3 stars, there are 7 circles. If 3 stars is written first, you'll need to write 3 first in your answer, and 7 second.

This is what it would look like: 3 : 7

With ratios, you could also write,

3 to 7

or

3 / 7

But 3 : 7 is most common :)

Answer:

Yes, the probability distribution is valid.

Step-by-step explanation:

Given :

Income range ___ midpoint(x) ___ %

5 - 15 __________ 10 _____20%

15 - 25 _________ 20 _____13%

25- 35 _________ 30 _____ 21%

35 - 45 _________40 _____ 17%

45 - 55_________ 40 ____ 20%

55 or more _______ 50 _____9%

Yes, we do have a valid probability distributuon ; as the summation of the percentage values is equal to 100%

Yes. Using the income midpoints  x and the percent of super shoppers, we can conclude that we have a valid probability distribution.

Given:

Income ranges: 5-15, 15-25, 25-35, 35-45, 45-55, 55 or more.

Midpoints x:       10,     20,      30,      40,       50,      60

Percent of super shoppers: 20%, 13%, 21%, 17%, 20%, 9%.

A valid probability distribution has two must have properties:

Its probabilities are non-negative.

Its probabilities sum to 1.

In the given data, the percentages can be converted to probabilities by dividing by 100 as :

0.2, 0.13, 0.21, 0.17, 0.2, 0.09

None of the probabilities are negative.

All probabilities add up to 1

[tex]0.2 + 0.13 + 0.21 + 0.17 + 0.2 + 0.09 = 1[/tex]

Thus, given distribution is a valid probability distribution.

Learn more here:

https://brainly.com/question/795909

Answer:

i think the number is 117

2

2<x<3 or Anything between negative 2 and 3

Step-by-step explanation:

0<4x+8<12

-8<4x<12

-2<x<3

Answer:

8

Step-by-step explanation:

Let's say there are 3*x red marbles in the bag. As the ratio of red to blue is 3:2, that means that there are 2*x blue marbles in the bag. The total marbles are then

3*x+2*x= 20

= 5x

Divide both sides by 5 to get

x=4

2*x is the amount of blue marbles, and 2*x = 8

Answer:

7.) 1 (1,1)

8.) not sure

9.) 1 (-2,-2)

Step-by-step explanation:

I used rise over run

Answer:

7) Slope is 1

8) unidentified

9)  i can't really see the picture but i suggest you grab two points from the line and plug them into the equation (y2 - y1) / (x2 - x1).

Step-by-step explanation:

Answer:

10 pieces

Step-by-step explanation:

Work backwards

Multiply 3 by 2 to get 6

Add 4 to 6 to get 10

Check:

10 - 4 = 6

6/3 = 2

Answer:

Answer is explained in the explanation section

Step-by-step explanation:

Solution:

Converse of the pythagorean theorem helps us to check whether a triangle is a right triangle or not. Converse of the pythagorean theorem is simply the opposite of the pythagoren theorem. Pythagorean theorem states that, if triangle is right triangle, then [tex]a^{2} + b^{2} = c^{2}[/tex]. On the other hand, Converse of the Pythagorean theorem states that, if  [tex]a^{2} + b^{2} = c^{2}[/tex], then triangle is a right triangle.

Pythagorean theorem = [tex]c^{2} = a^{2} + b^{2}[/tex]

Converse of the pythagorean theorem = [tex]a^{2} + b^{2} ? c^{2}[/tex]

First of all let's check the first triangle is right triangle or not.

a = 12

b= 16

c= 20

So,

[tex]a^{2} + b^{2} = c^{2}[/tex].

144 + 256 = 400

400 = 400

Yes, 1st triangle is no doubt a right triangle. On the other hand, we are given that 2nd triangle = right triangle as we are given the 90 degree angle already. Here, we know that triangle is a right triangle

hence, [tex]a^{2} + b^{2} = c^{2}[/tex]. will surely be there.

Now, we have find out the side opposite to the 90 degrees angle, which is c.

we also know that, right triangles sides follow the pattern of 3x,4x and 5x

Since, c is the longest side.

Hence, c= 5x

Answer:

slope: [tex]\frac{13}{4}[/tex]

Step-by-step explanation:

Answer:

52.94

Step-by-step explanation:

Answer:  It's 52.9411765

Answer:

Zero. The sum of anything and it's opposite is zero, that's how an opposite is defined . In this case, the opposite of 2x+1 is -(2x+1)=-2x-1 by the distributive property . Adding like terms, 2x+-2x+1+-1=0+0=0.

Answer: i know its -0.75, but thats decimal, you might just have to make that a fraction yourself, sorry

Step-by-step explanation:

Following are the calculation to the simplest form:

Given:

[tex]\frac{(-3^3)}{6^2}[/tex]

To find:

simplest form=?

Solution:

[tex]\to \frac{(-3^3)}{6^2}= \frac{(-27)}{36}= \frac{-9}{12}=\frac{-3}{4}[/tex]

Therefore, the final answer is "[tex]-\frac{3}{4}[/tex]".

Learn more:

brainly.com/question/17678775

Answer:

this equation cannot be solved by completing the square

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

To clarify this convert the question into a fraction to make it look like this 2 7/8 and 2 1/2.  1/2 is 50% and 7/8 is 87.5%, the better percentage, the greater the number is.

Answer:97.1

Step-by-step explanation:

Answer:

97.1

Step-by-step explanation:

the 10th is the first decimal place with the second being 100th then 1000th and so on.

so since the number after it is an 8 we round it up to 1

Answer:

2 pieces

Step-by-step explanation:

Given

[tex]Length = 1\frac{2}{3}m[/tex]

[tex]Pieces = \frac{3}{4}m[/tex]

Required

Determine the number of pieces

To do this, we simply divide the length of the wood by the length of each piece.

[tex]Number = \frac{Length}{Pieces}[/tex]

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

Convert fraction

[tex]Number = \frac{5}{3}/\frac{3}{4}[/tex]

Change sign to *

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

[tex]Number = \frac{20}{9}[/tex]

[tex]Number = 2.2222[/tex]

[tex]Number = 2[/tex] (approximated)

Answer:

v = -122.5

Step-by-step explanation:

1: 2.3 + v/7 = -15.2

2: v/7 = -17.5

3: v = -122.5

Step 1: This is the given equation

Step 2: Here, 2.3 was subtracted from both sides of the equation to isolate v

Step 3: both sides of the equation were multiplied by 7 to get v = -122.5

Answer:

245 over 2

Step-by-step explanation:

just use a calculator and you should be able to get the question right

Answer:

3 hours

Step-by-step explanation:

60 x 60 = 3,600 x 3 = 10800

Answer:

6, 12, 18, 24. 30, 36, 42, 48, 54

Step-by-step explanation:

divide 54 by 6 so you know how many times you have to multiply 6 then multiply 6 by 1, 2, 3, 4, 5, 6, 7, 8, 9 to get the answers.

Answer:

y=93°, z=79°

Step-by-step explanation:

Lines and Angles

There are properties of lines and angles that will help us to find the required values.

The vertex at the bottom left side of the quadrilateral has two angles that were formed when two lines crossed. Those are called linear angles, and they always add up to 180°.

This means that z is the angle needed to complete 180°, that is:

z = 180° - 101° = 79°

Now the quadrilateral must have the sum of its internal angles equal to 360°. We have three of them that sum: 100°+88°+79°=267°.

This means y is the angle needed to complete 360°, or:

y = 360° - 267° = 93°

Answer: y=93°, z=79°