Write an equation of the line in slope-intercept form that passes through the point (3, 8) with slope 4?

Answer:

1. y = 4x - 27

2. y = -4x - 15

Step-by-step explanation:

If two lines are parallel, then they have the same slope. So, the slope of the line we are looking for needs to be 4. We can start by writing a point-slope equation:

y - y1 = m(x - x1)

We can substitute the values we have, the point we are using is (8, 5) because it needs to be on the line:

y - 5 = 4(x - 8)

We can distribute:

y - 5 = 4x - 32

y = 4x - 27

We are not given the slope-intercept form, so we must divide both sides by two to get it:

y = 1/4 x + 8

A perpendicular line has the slope that is the negative reciprocal of the one that is given. So, the slope of the line would be - 4. We can start by writing a point-slope equation:

y - y1 = m(x - x1)

We can substitute the values we have, the point we are using is (-5, 5) because it needs to be on the line:

y - 5 = -4(x + 5)

We can distribute:

y - 5 = -4x - 20

y = -4x - 15

Answer:

B is the answer

Step-by-step explanation:

I converted each option to decimals so answer b looks like

2.25> 2.23> -2> -2.2

Answer:

16

Step-by-step explanation:

hope this helps

k so here is your oc his full name is Carlos AKA cal

The equation of line is y = ( 3/4 )x + 2 and the slope is m = 3/4

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 4 , 5 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = 3/4

And , equation of line is y - y₁ = m ( x - x₁ )

On simplifying , we get

y - 5 = ( 3/4 ) ( x - 4 )

y - 5 = ( 3/4 )x - 3

Adding 5 on both sides , we get

y = ( 3/4 )x + 2

Hence , the equation of line is y = ( 3/4 )x + 2

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ7

Answer:

I believe the answer is (A) 15.

Step-by-step explanation:

If she buys 15 pizzas and gives each student half a pizza, then that would be 30 halves. Meaning she needs to buy 15.

Answer:

[tex] \displaystyle S _{ \text{sphere}} =3629.84 {cm}^{2} [/tex]

Step-by-step explanation:

we are given a ball

remember that,a ball is a Sphere

thus,

[tex] \displaystyle S _{ \text{sphere}} = 4\pi {r}^{2} [/tex]

given that, redious is 17 cm

substitute:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times {17}^{2} [/tex]

simplify square:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times 289[/tex]

substitute the approximate value of π:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times 3.14 \times 289[/tex]

simplify multiplication:

[tex] \displaystyle S _{ \text{sphere}} =3629.84[/tex]

hence, the surface area of the sphere is 3629.84 cm²

Answer:

15x^2 + 14x - 8

Step-by-step explanation:

Use the FOIL Method.

(3x + 4) (5x - 2)

1. First: 15x^2

2. Outside: -6x

3. Inside: 20x

4. Last: -8

5. Put Together: 15x^2 - 6x + 20x - 8

6. Simplify: 15x^2 + 14x - 8

Answer:

25

Step-by-step explanation:

if X = 4 then you would do

4(4) + 9

since 4 x 4 is 16

add that by 9

16 + 9 = 25

so the value of 4x + 9 = 25

Hope this helps

Answer:

Step-by-step explanation: There are 12 colours on a spinner,

Probability of red,orange, blue or green = 1/12×4 =4/12

=1/3

Probability of red,blue, orange or green= 1/12×4=1/3

Probability of not red= 1-1/12

=11/12

Step-by-step explanation:

y is 72, give other person brainly! :)

Answer:

22+8x less then or equal to 60

Step-by-step explanation:

Debbie has at most $60 to spend

Then it will be <=60

Now she has to spend 22 dollars on jeans so 22 will be add to the initial amount for sure.

And

Let x be the number of t-shirts

Then the cost of x t-shirts will be 8x

Putting this in to inequality will be:

The inequality to find the maximum number of t-shirts is:

Answer:

20 5/24

Step-by-step explanation:

Answer:

This is an english server.

Step-by-step explanation:

Respuesta :

siete porque 40/6 darian 6 y como sobran 4 le reparterian 1 a cada 1 por eso darian a a siete

Espero que te sirba

Answer:

x = 50

Step-by-step explanation:

Note that the 3 interior angles must sum up to 180 degrees:

50 + x + 80 =180, or

50 + x = 100, or

x  = 50

Answer:

The investor will earn $875 over the course of 3.5 years.

Step-by-step explanation:

Sounds like simple interest (not compound interest).

The appropriate formula is i = prt, which here is

i = $5000(0.05)(3.5) = $875

The investor will earn $875 over the course of 3.5 years.

Answer:

Step-by-step explanation:

The negative out front only tells us which way the parabola will open. That means that the first one will open upside down, since it's got a negative out front. The value of the number that serves as the leading coefficient (the number stuck to the x-squared) determines how steep or wide-open the parabola's shape is. The leading coefficient in the first one is a 1, so it opens up exactly as wide as its parent graph does. The leading coefficient in the second one, a 2, means that the parabola will be skinnier or narrower than its parent. If the leading coefficient is greater than 1, the parabola will be narrower than its parent; if the leading coefficient is greater than 0 but less than 1, the parabola will open wider than its parent.

Answer:

[tex]9x - 19 = 7x + 13 \\ 2x = 32 \\ x = 16 \\ 3y - 17 + 9x - 19 = 180 \\ 9x + 3y = 180 + 17 + 19 \\ 9x + 3y = 216 \\ 3y = 216 - 144 = 72 \\ y = \frac{72}{3} = 24[/tex]

It it was a whole rectangle: 12 x 9 = 108 square yards

Subtract the cut out area: 6 x (9-3) = 6 x 6 = 36 square yards

Total area = 108 - 36 = 72 square yards

Answer: 5x+6y+1 is the answer

Step-by-step explanation: to combine like terms that have to have the same variable so you can add them so for example you have 3x+2x which is equal to 5x then 2y+4y which is = to 6y and you also have 1 that isn't adding to anything because the others have variables

Answer:

5x + 6y + 1

Step-by-step explanation:

You are also simplifing and collecting the like terms. 3x + 2x = 5x. So that goes first as it appears first in the equation. Secondly, 2y + 4y = 6y, and that adds on to the previous answer. So far we have 5x + 6y. Now just add te 1, as it has no like value.

Answer:

Scenario 1: w/o replacement: P(blue, then red) = (7/12)(3/11) = 7/44

Scenario 2: w/ replacement:  P(blue, then red) = (7/12)(3/12) = 7/48

Ratio of Probability #1 to Probability # 2 = 48/44 = 12/11, i.e. Prob # 1 is 1.0909... times Prob # 2

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

You know that 20% of the school band are 16 clarinet players, or 16 is 20% of the band.

You can set up the equation 0.2x = 16 and divide both sides by 0.2. You then get that x = 80, so there are 80 kids in the school band.

Answer:

5x+7=17

Step-by-step explanation:

5x+7=17

   -7    -7

----------------

5x=10

5      5

x=2

5(2)+7=17

10+7=17

17=17

The two step equations that equal 17 are:

1) 3x + 5 = 17

2) 2y - 8 = 17

The two examples of two-step equations that equal 17:

1) 3x + 5 = 17

To solve this equation, we subtract 5 from both sides:

3x + 5 - 5 = 17 - 5

3x = 12

Finally, we divide both sides by 3:

3x/3 = 12/3

x = 4

So the solution to the equation is x = 4.

2) 2y - 8 = 17

To solve this equation, we add 8 to both sides:

2y - 8 + 8 = 17 + 8

2y = 25

Next, we divide both sides by 2:

2y/2 = 25/2

y = 12.5

So, the solution to the equation is y = 12.5.

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ6

Answer:

a(x) = √x+3

Step-by-step explanation:

i graphed it on desmos

Answer:

1 1/4 pounds

Step-by-step explanation:

1/2 ÷ 2/5 = 5/4

Answer:

x= 6; y=3 root 3; m=6; n= 6 root 2; a=2; b=2

Step-by-step explanation:

Special Triangles

the arrows pointing to 36