What is the scale of a map if 1 cm on a map represents 20 km in real life?

Given:

Line a is perpendicular to line b .

Line a passes through the points (1,-8) and (9,-12) .

Line b passes through the point (-8, -16).

To find:

The equation of b.

Solution:

Line a passes through the points (1,-8) and (9,-12) . So, slope of line a is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m_a=\dfrac{-12-(-8)}{9-1}[/tex]

[tex]m_a=\dfrac{-12+8}{8}[/tex]

[tex]m_a=\dfrac{-4}{8}[/tex]

[tex]m_a=-\dfrac{1}{2}[/tex]

Product of slopes of two perpendicular lines is -1.

[tex]m_a\times a_b=-1[/tex]

[tex]-\dfrac{1}{2}\times a_b=-1[/tex]

[tex]b=2[/tex]

Slope of line b is 2.

If a line passing through a point [tex](x_1,y_1)[/tex] with slope m, then equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

Line b passing through (-8,-16) with slope 2. So, equation of line b is

[tex]y-(-16)=2(x-(-8))[/tex]

[tex]y+16=2(x+8)[/tex]

[tex]y+16=2x+16[/tex]

Subtract 16  from both sides.

[tex]y=2x[/tex]

Therefore, the equation of line b is [tex]y=2x[/tex].

Answer: Listen to what the other person has to say, try to see from other perspectives, don't show anger or other person won't listen to what you have to say.

Step-by-step explanation:

Answer:

no sorry

Step-by-step explanation:

Answer:

A) m=7

Step-by-step explanation:

Just divide 98 by 14

Answer:

A is the answer

Step-by-step explanation:

7×14 = 98

Answer:

Mammals

Step-by-step explanation:

these vertebrates are considered mammals

Answer:

Subsets of {dog, cat, fish} are Ф, {dog}, {cat}, {fish}, {dog, cat}, {dog, fish}, {cat, fish}, {dog, cat, fish}

if that doesn't work do

4 - Practice: Working with Sets Practice

1. D

2. B

3. A

4. C

5. A

6. C

7. C

8. D

9. C

10. B

-cc

hope this helped please mark me brainliest!

Answer:

5y2 + -3y + 2

Step-by-step explanation:

Sorry only have the first one.

Answer:

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(82, −96) and (87, −86)

We have

[tex]m = \frac{ - 86 - - 96}{87 - 82} = \frac{ - 86 + 96}{5} = \frac{10}{5} = 2 \\ [/tex]

We have the final answer as

Hope this helps you

Answer:

1/2

Step-by-step explanation:

Slope equals rise over run. To find this use two points that land evenly on the graph then count how ever many spaces up and then to the side. In this case, it goes up 1 and right 2, so put that into fraction form, 1/2, and that is your answer.

Answer:

1/2

Step-by-step explanation:

Answer:

x = 15°

Step-by-step explanation:

∠2 and ∠4 are same-side interior angles, meaning they add up to 180

2x + 10 + 4x + 80 = 180

Rearrange (collect like terms)

6x = 180 - 80 - 10

6x = 90

x = 15°

Answer:

Step-by-step explanation:

∠2 = 2x + 10

∠4 = 4x + 80

∠2 and ∠4 are supplementary angles, this mean ∠2 + ∠4 = 180

2x + 10 + 4x + 80 = 180

combine similar terms: 6x = 180 - 80 - 10

simplify: 6x = 90

solve for x = 90 / 6

               x = 15

Answer: 19

Step 1: Divide.

940 ÷ 50 = 18.8

Step 2: Round 18.8 to the nearest one.

18.8 - 19

Answer to the question is 19.

Answer:

About 19 buses

Step-by-step explanation:

940/50 = 18.8 ≈ 19

Answer:

2100

Step-by-step explanation:

Answer:

2100 grams

Step-by-step explanation:

Just multiply 5 with 450.

Answer:

just substitute the numbers for the variable y, and see whichs are greater than or less than 6

Answer:

1

Step-by-step explanation:

13 - 7(-1) = 20 so no

13 - 7(0) = 13 so no

13 - 7(1) = 6 so yes

[is there a 2 there?] 13 - 7(2) = -1 so no

13 - 7(3) = -8 so no

Answer: -5

Step-by-step explanation:

substitute 0 for y

Answer:

Undefined.

Step-by-step explanation:

[tex]m=\frac{rise}{run}=\frac{4+8}{0-0}=\frac{12}{0}= undefined[/tex]

The slope is undefined.

Hope this helps.

Answer:

Undefined( If this is wrong then it is zero)

Step-by-step explanation:

The formula for this problem is y2 - y1/x2-x1. You can name any of those points 1 or 2 as long as they have the right coordinate.

4 - (-8)/0 - 0= 12/0 = Undefined

I am not really sure, but I can say that I would go with; either B or C.  Sorry...

Answer:

-4 and 3/4, also written as -4.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answers is A

The required equation of the parallel track that runs through the point (4 , -2) is  2x + 5y = −2.

The engineers designing the All Aboard Railroad between Boca Raton and Jupiter decided to create parallel tracks through this portion of the railway.The southbound track will have an equation of 2x + 5y = 15. What is the equation of the parallel northbound track that runs through the point (4, – 2) TO determine.

The equation is the relationship between variables and represented as y=ax + b  is an example of a polynomial equation.

Equation of the southbound track,
2x + 5y = 15
slope of the above equation is m = -2/5

Since the slope of the parallel lines are equal.

The equation of the parallel northbound track that runs through the point (4, – 2),
(y + 2) = -2/5 (x - 4)
5(y + 2) = -2 (x-4)
5y + 10 = - 2x +8
2x + 5y = 8-10
2x + 5y = -2

Thus, the required equation  of the parallel track that runs through the point (4 , -2) is  2x + 5y = −2.

Learn more about the equation here:

brainly.com/question/10413253

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Answer:2.5v+5>5v

Step-by-step explanation:this definitely right

Answer:

y= -4x - 5

Step-by-step explanation:

5 is your y-intercept

The slope of the line which passes through the points (3,5) and (2,0) is 5

From the question,

We are to determine the slope of the line

The slope of a line with two given points can be determined from the formula

[tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Where m represents the slope

From the given information

x₁ = 3

y₁ = 5

x₂ = 2

y₂ = 0

Putting these into the formula,

We get

[tex]m = \frac{0-5}{2-3}[/tex]

Then,

[tex]m = \frac{-5}{-1}[/tex]

∴ m = 5

Hence, the slope of the line which passes through the points (3,5) and (2,0) is 5

Learn more here: https://brainly.com/question/17722787

Answer:

True.

Step-by-step explanation:

Hope this helps!

Answer:

TRUE!!

Step-by-step explanation:

Good luck

Answer:

good luck

Step-by-step explanation:

Find the slope that passes between the points.

(y₂ - y₁) / (x₂ - x₁)

J(-4, -5)

K(-6, 3)

(3 - (-5)) / (-6 - (-4))

(3 + 5) / (-6 + 4)

8 / -2

-4

Now slap that slope into the formula and substitute on of the coordinates to the formula to solve for b (I'll take point K's coordinate):

y = mx + b

y = -4x + b

3 = -4(-6) + b

3 = 24 + b

3 - 24 = b

- 21 = b

b = -21

If the equation of the line is written in slope-intercept form, y = mx + b, then the value of b is -21 and is denoted as option A.

This is also referred to as the gradient of a line and measures its steepness and direction.

Slope = (y₂ - y₁) / (x₂ - x₁)

J(-4, -5) and K(-6, 3)

= (3 - (-5)) / (-6 - (-4))

= (3 + 5) / (-6 + 4)

= 8 / -2

= -4

Substitute one of the coordinates into the formula to solve for b

y = mx + b

y = -4x + b

3 = -4(-6) + b

3 = 24 + b

3 - 24 = b

b = - 21

Read more about Slope of a line here https://brainly.com/question/20848

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Answer:

Vertex: (2, 11)

Y-Intercept: (0, 7)

Step-by-step explanation:

Answer:

They spent $15.

Step-by-step explanation:

It's given that Jane bought x cookies, so 3x.

John spent $1 on each of the x cookies he got, and also an extra $10, so x+10.

3x=x+10

2x=10

x=5

So they got 5 cookies each.

5 cookies x $3= $15 (check with $5(1)+$10= $5+$10= $15 )

Answer:

sdvsvsdv

Step-by-step explanation:

Answer:

Step-by-step explanation:

It’s B

Answer:

X=-1/2

Step-by-step explanation:

Hope this helps. Plz give brainliest.

Answer:

x = -1/2 or -0.5

Step-by-step explanation:

4(2x - 2) + 2 = 4(x - 2)

open the parenthesis

8x - 8 + 2 = 4x - 8

add 8 to both sides of the equation

8x - 8 + 2 + 8 = 4x - 8 + 8

combine like terms

8x + 2 = 4x

subtract 4x from both sides of the equation

8x - 4x + 2 = 0

4x + 2 = 0

subtract 2 from both sides of the equation

4x + 2 - 2 = 0 -2

4x = -2

divide both sides by 4

4x/4 = -2/4

x = -1/2