Write the equation of the line that is parallel to the line y= 3x+ 6 and passes through the point (4, 7).

Answers

Answer 1

Answer:

Is this slope?

Step-by-step explanation:

Answer 2

Answer:

y = 3x - 5

Step-by-step explanation:

Let the equation be y = mx + c

Since the equation is parallel to y = 3x + 6, gradients of the two eqns are the same

therefore, m = 3

sub (4, 7):

7 = 3(4) + c

c = -5

therefore, equation of the line is y = 3x - 5


Related Questions

EASY QUICK POINTS

Read the list of properties below.
Two sets of parallel sides
Opposite angles that are congruent
Opposite sides that are congruent
Angles that do not measure 90°


Which polygon would have all of these properties?
rectangle
rhombus
square
trapezoid

Answers

the answer is rhombus...

Answer:

rhombus

Step-by-step explanation:

Write the equation of the circle with center (-4, 8) and passes through the point (-2, -1)

Answers

Answer:

[tex](x+4)^2+(y-8)^2=85[/tex]

Step-by-step explanation:

The standard equation for a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center and r is the radius.

We know that the center is (-4, 8). So, substitute -4 for h and 8 for k:

[tex](x-(-4))^2+(y-8)^2=r^2\\[/tex]

Simplify:

[tex](x+4)^2+(y-8)^2=r^2[/tex]

Now, we will need to find r.

We know that it passes through the point (-2, -1). So, we can substitute -2 for x and -1 for y and solve for r. So:

[tex](-2+4)^2+(-1-8)^2=r^2[/tex]

Evaluate:

[tex](2)^2+(-9)^2=r^2[/tex]

Square:

[tex]4+81=r^2[/tex]

Add:

[tex]r^2=85[/tex]

So, r squared is 85.

We don’t actually have to solve for r itself, since we will have to square it anyways.

So, we have:

[tex](x+4)^2+(y-8)^2=r^2[/tex]

Substituting 85 for r squared, we get:

[tex](x+4)^2+(y-8)^2=85[/tex]

And we have our equation.

What rule would you allow to test weather (x,y) is on line l

Answers

Answer:

Step-by-step explanation:

If a point (x, y) lies on a straight line, coordinates of the point will satisfy the equation.

Slope of a line passing through two points C(4, 5) and D(8, 10),

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

m = [tex]\frac{10-5}{8-4}[/tex]

m = [tex]\frac{5}{4}[/tex]

Equation of the line passing through C(4, 5) and slope m = [tex]\frac{5}{4}[/tex]

y - y' = m(x - x')

y - 5 = [tex]\frac{5}{4}(x-4)[/tex]

y = [tex]\frac{5}{4}x-5+5[/tex]

y = [tex]\frac{5}{4}x[/tex]

If point B(4, 0) lies on the line CD,

0 = [tex]\frac{5}{4}(4)[/tex]

0 = 5

Which is not true.

Therefore, point B doesn't lie on line CD.

Terrence took a total of 16 pages of notes during 8 hours of class. In all, how many hours will
Terrence have to spend in class before he will have a total of 18 pages of notes in his
notebook? Assume the relationship is directly proportional.

Answers

16 pages/8 hrs

2 pages/ he

18/2=9

18 pages/9 hrs

9 hours is your answer.

Put these amounts of money in order smallest to largest
£1.32 £1.23 £1.03 £3.21 £3.12

Answers

Answer:

£1.03, £1.23, £1.32, £3.12, £3.21

Step-by-step explanation:

what is the value of K?

Answers

Answer: its A

Step-by-step explanation:

Because

Evaluate each value expression for the given value of x: x-5 , x - =22
pls fast

Answers

Answer:

-18

Step-by-step explanation:

-18

brainlest please

Smash or pass? lets make this a trend :)
#3
idea from dear amj1103

Answers

Answer:

no

Step-by-step explanation:

I'm a man so..............

I don't want to get reported.. I-

What is the surface area of the rectangular pyramid below?

Answers

There’s no picture under your question

The sum of two consecutive integers is two more than the third integer. Find the integers

Answers

Answer:

              3, 4, 5

Step-by-step explanation:

x        - the first integer

x+1   - the next integer consecutive to x (the second consecutive integer)

x + x+1    - the sum of two consecutive integers

x+1+1=x+2 - the integer consecutive to x+1 (the third consecutive integer)

x+2 + 2  - two more than the third integer

x + x+1  = x+2 + 2

2x + 1 = x + 4

x + 1 = 4

 x = 3

x+1 = 3+1 = 4

x+2 = 3+2 = 5

what is the range and domain of this question? im unsure​

Answers

Answer:

Step-by-step explanation:

Domain is the independent variable (x)

Range is the dependent variable (y)

For each of these you would just put what x and y are equal to

For the Domain you would put:

0<=x<=3

<= is less than or equal to

For the Range you would put

1<=y<=4

The line is a function

What is the solution 8x-3(2x-4)=3(x-6)

Answers

Answer:

x = 30

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

8x - 3(2x - 4) = 3(x - 6)

Step 2: Solve for x

Distribute:                                   8x - 6x + 12 = 3x - 18Combine like terms:                   2x + 12 = 3x - 18Subtract 2x on both sides:        12 = x - 18Add 18 to both sides:                 30 = xRewrite:                                       x = 30

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                    8(30) - 3(2(30) - 4) = 3(30 - 6)Multiply:                        240 - 3(60 - 4) = 3(30 - 6)Subtract:                       240 - 3(56) = 3(24)Multiply:                        240 - 168 = 72Subtract:                       72 = 72
16x^2 - 32x -3x +12 = 3x-18
X= 30

What is the measure of angle B in the triangle?
this triangle is not drawn to scale.

Answers

40°+B+C = 180° (sum of angles in a triangle)
sub. in values of B and C :
40° + (2x-30)° + (x+20)° = 180°

expand the equation and solve for x:
2x + x + 40° - 30° + 20° = 180°
3x + 30° = 180°
3x = 150°
x = 50°

sub. x = 50° into B,
2(50°) - 30° = 100° - 30°
= 70°

B = 70°

I need helpppppp! Pleaseeeewww

Answers

9514 1404 393

Answer:

Same slope of 2Both are linearBoth are parallel to each other

Step-by-step explanation:

The y-intercepts are 0 and -7, so the vertical intercepts are not the same.

The one that is 0 represents a proportional relation; the one that is -7 represents a non-proportional relation. So, one is proportional and the other is not.

The x-coefficient is 2 in both cases, so the equations have the same slope of 2. Since the slopes are the same and the y-intercepts are different, the lines are parallel to each other.

Each is the equation of a line, so both functions are linear.

b+b-1+b+b+10=___b+9
whats the blank spot??​

Answers

4b+9 is the answer just add up the b’s

The following formula is for the area, A, of the curved surface area of a cone. A = pie x r x l, where r is the radius and l is the slant height of the cone.
Calculate the total surface area of a cone with radius 6cm and slant height 13cm

Answers

It is Pi x r x l plus Pi x r^2

Use the formula (n−2)×180◦ figure out the sum of the angle measures of the Trapezoid.

Answers

Answer: 360 degrees

Step-by-step explanation: There are 4 sides in an angle. Substitute that value in for n and u have: (4-2) x180. After doing that, subtract inside the parenthesis and multiply your difference by 180. You should get 360 degrees. I hoped this helped.

Answer:

360!!!!!!!!!!!!!!!!!!!! ;)

Step-by-step explanation:

Find the area of the triangle.

Answers

17.5
A=l•w/2
A=5•7/2
A=35/2
A=17.5

If the US released 5.877 billion metric tons of carbon dioxide and 1 trillion pounds=0.4536 billion metric tons, how many trillions of pounds of carbon dioxide did the US release?

Answers

Answer: 12.96 trillion pounds

Step-by-step explanation:

From the question, we are informed that:

1 trillion pounds = 0.4536 billion metric tons

Therefore, if the US released 5.877 billion metric tons of carbon dioxide, the trillions of pounds of carbon dioxide that the US release will be:

= 5.877 / 0.4536

= 12.96 trillion pounds

Marshall bought 10 bags of chips for his school party. A bag of plain chips cost $2.00, and a bag of flavored chips cost $2.50. He spent a
total of $23.00 on chips. How many bags of flavored chips did he buy?
A. 2
8
OB. 4
O C6
OD 8

Answers

Answer:

6 bags of flavored Chips .

Step-by-step explanation:

Choose the linear equation written in slope-intercept
form that matches each graph.

Answers

Answer:A

Step-by-step explanation:

The line touches the y axis at -1. The line then goes up 1 over 2 but since it’s on the bottom part of the graph it has the be negative. Y=-1/2X-1

Answer:

Slope = rise/run

          = -1/2              (negative because the slope is decreasing)

y - intercept = -1

Option A

y = -1/2x-1

(HELP!!!) Please Factor Completely:
9x^2y^2-27x^2y-72y^2+216y

Answers

Answer:

Can u space them out so i know which ones are exponents

Step-by-step explanation:

what are the names of three planes that contain Point G ​

Answers

Answer:

Points L, J, and K are collinear.

Step-by-step explanation:

brinlest plz

Answer:

ferns,gymnosperms, and flowering plants are all vascular plants

Step-by-step explanation:

Find the sum.. -3/2 + 8/5 ​

Answers

Answer: 0.1 or 1/10

Step-by-step explanation:

1/10 is the answer you are looking for

What’s the gcf of 8 and 52

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Hope i helped

The price of an item has risen to $238 today. Yesterday it was $140. Find the percentage increase.
HELP
DONT SWIPE PAST
OH Amy bad for assuming you swiped tysm for helping!!

Answers

Answer:

The percentage increase is 70%

Step-by-step explanation:

There is a calculator that solves the problem for you just enter the 2 values that they ask for

Find the value of y (2y+5) (5x - 17) (3x-11)

Answers

Answer:

Hope it help, please give me BRAINLEST!

Step-by-step explanation:

2y + 5= |3y| + 3 = 3

x - 3= 2

[tex]\sqrt{x} + 2 = 2[/tex]

5x - 17= -3x = 2

3^(x )= 4

3 cos^(2)(x) + 2 cos(x)- 1 = 0

3x-11= [tex]\sqrt{x}[/tex] +3 = 8

2 = |3x|

x - 5= -3

The volume V of gas varies inversely to the pressure P. The volume of a gas is 200 cm3 under pressure of 32 kg/cm2. What will be its volume under pressure of 40 kg/cm2?

Answers

Answer:

V = 160 cm³ when P = 40 kg/cm²

Step-by-step explanation:

V = k / P

Where,

V = volume

P = pressure

k = constant of proportionality

The volume of a gas is 200 cm3 under pressure of 32 kg/cm2

V = k / P

200 = k / 32

Cross product

200 × 32 = k

6,400 = k

k = 6,400

What will be its volume under pressure of 40 kg/cm2?

V = k / P

= 6,400 / 40

= 160

V = 160 cm³

I would really appreciate it if sombody helped me please i suck at me math :(

Answers

the exponent 2 outside the brackets is distributed on 3 as well. 3 exponent 2 gives 9, not 6. answer would be 9x^4y^8

Do imaginary numbers follow the rules of algebra?

Answers

Answer:

no

Step-by-step explanation:

No they do not.

Hope this helps!
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