A line with a positive slope is parallel to one of the lines shown. What is its slope? Use the graph shown below.

Answer:

y= 2x+1

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

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Answer: if y is the total cost of the rental, then y-93.75=12.5(x-5.5) models the cost of renting a pedal board for x hours. liam should rewrite the equation from the previous step so that y is isolated on one side. the constant on the other side is then the service fee.

Step-by-step explanation:

yeah that’s all

The point-slope form equation is an equation that has a slope "m" and passes through a point or two points.

The equation to find the one-time service charge is 93.75 = 17.05x + b

y = mx + b

Where

m = gradient

b = slope of the line

Therefore, the cost of renting a pedalboard for 1 hour

= $93.75/5.5

= $17.05

y = mx + b

Where

y = Total charge = $93.75

m = Cost of renting a pedalboard per hour = $17.05

x = Number of hours for renting a pedal board

Hence, the equation is given as:

93.75 = 17.05x

Hence, the equation is given as:

93.75 = 17.05x + b

Where b = service charge

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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:

sdvsvsdv

Step-by-step explanation:

Answer:

Step-by-step explanation:

It’s B

Answer:

2100

Step-by-step explanation:

Answer:

2100 grams

Step-by-step explanation:

Just multiply 5 with 450.

Answer:2.5v+5>5v

Step-by-step explanation:this definitely right

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.

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Answer:

12cm

Step-by-step explanation:

Since it is an equilateral triangle, meaning that all sides are equal the height is 12 cm.

Answer:

Vertex: (2, 11)

Y-Intercept: (0, 7)

Step-by-step explanation:

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:

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

Step-by-step explanation:

4(2x-7)+4>-88

4(2x-7)>-92    Subtract 4 from both sides

8x-27>-92     Distributive property

8x>-65      Add 4 to both sides

-8x<65    I call this the negative switch, but it is called something else

x<-8.125

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

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

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:

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 )

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].

Ratio of boys who liked soccer to boys who liked basketball = 3:5

Given :-

Number of boys who enjoyed soccer :-

[tex]\color{hotpink} = \color{hotpink}90 \: \: \color{hotpink}boys[/tex]

Total number of boys who were surveyed were equal to the total number of girls who were surveyed .

Which means :-

Let the total number of boys who were surveyed be x .

Total number of boys =

[tex] = \frac{3}{8} \times x = 90[/tex]

[tex] = x = 90 \div \frac{3}{8} [/tex]

[tex] = x = 90 \times \frac{8}{3} [/tex]

[tex] = x = \frac{720}{3} [/tex]

[tex]\color{hotpink}x =\color{hotpink} 240[/tex]

Which means a total of 240 boys were surveyed .

Number of boys who liked basketball :-

[tex] = \frac{5}{8} \times 240[/tex]

[tex] = \frac{1200}{8} [/tex]

[tex]\color{hotpink} = 150 \: \: boys[/tex]

Which means a total of 150 boys liked basketball .

Number of girls who liked soccer :-

[tex] = \frac{7}{8} \times 240[/tex]

[tex] = \frac{1680}{8} [/tex]

[tex]\color{hotpink} = 210 \: \: girls[/tex]

A total of 210 girls enjoyed soccer .

Number of girls who enjoyed basketball :-

[tex] = \frac{1}{8} \times 240[/tex]

[tex] = \frac{240}{8} [/tex]

[tex]\color{hotpink} = 30 \: \: girls[/tex]

A total of 30 girls like basketball .

Therefore , 210 girls enjoyed soccer and 30 girls enjoyed basketball .

Answer:

5y2 + -3y + 2

Step-by-step explanation:

Sorry only have the first one.

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: 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: 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:

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

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Answer:

True.

Step-by-step explanation:

Hope this helps!

Answer:

TRUE!!

Step-by-step explanation:

Good luck

Answer:

good luck

Step-by-step explanation: