Which equation represents the line that passes through points B and C on the graph?


On a coordinate plane, point A is at (1, 4), point B is at (negative 4, 2), point C is at (negative 2, negative 2) and point D is at (5, negative 4).
y = negative 2 x minus 6
y = negative 2 x + 10
y = 2 x minus 6
y = 2 x + 10

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: 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:

$637.50

step by step explanation :

P = $3000

t= 5years

r = 4.25% per annum

Interest = (p×r×t)/100

= (3000×4.25×5)/100

= $637.50

Answer:

uhhhhhhh anywun know ze answer?

Step-by-step explanation:

Answer:

5y2 + -3y + 2

Step-by-step explanation:

Sorry only have the first one.

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:

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:

y= 2x+1

Step-by-step explanation:

Answer:

140!

Step-by-step explanation:

200 - 60 = 140

Answer:

-4

Step-by-step explanation:

ig i was right the first time

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

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 )

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:2.5v+5>5v

Step-by-step explanation:this definitely right

Answer:

12cm

Step-by-step explanation:

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

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:

A) m=7

Step-by-step explanation:

Just divide 98 by 14

Answer:

A is the answer

Step-by-step explanation:

7×14 = 98

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

Answer:

2100

Step-by-step explanation:

Answer:

2100 grams

Step-by-step explanation:

Just multiply 5 with 450.

Answer:

(-2,0) and (0,-5) on the graph for the interprets x and y.

Note: I need points lol, pls put thanks and vote your stars for me! Thx!

The required x and y-intercept of the given equation is x = -2 and y = -5.

Given that,
An equation of the linear function is given 10x + 4y =-20, x and y-intercept of the function are to be determined.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given a linear function,
10x + 4y = -20
In order to get the values of the intercept we have to put x and y to zero individually,

First, for x-intercept y = 0
10x + 4(0) = -20
10x=-20
x = -2

Second for y-intercept x = 0
10(0) + 4y = -20
y = -5

Thus, the required x and y-intercept of the given equation is x = -2 and y = -5.

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Answer:

no solutions because you would get an outcome of a not real world problem

Answer:

3%

Step-by-step explanation:

2 meter = 200cm

6cm/200cm = 3/100

3/100 x 100 = 3%

Hope this helps...

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: