Find the equation of a line that passes through (2,9) and is parallel to the graph of y = 3x + 6. Write the equation in slope-intercept form, if possible.

Answers

Answer 1

Answer:

y = 3x + 3

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is y = 3x + 6. Its slope is 3. A line parallel to this one will also have a slope of 3.

Plug this value (3) into your standard point-slope equation of y = mx + b.

y = 3x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (2, 9). Plug in the x and y values into the x and y of the standard equation.

9 = 3(2) + b

To find b, multiply the slope and the input of x (2)

9 = 6 + b

Now, subtract 6 from both sides to isolate b.

3 = b

Plug this into your standard equation.

y = 3x + 3

This equation is parallel to your given equation (y = 3x + 6) and contains point (2, 9)

Hope this helps!


Related Questions

what is 0+0+0+0+0+0=?​

Answers

Answer:

34

Step-by-step explanation:

Answer:

its 0 :)

Step-by-step explanation:

HELP ME PLEASE 15 POINTS!!!
What is the equation of the axis of symmetry of a parabola
if its x-intercepts are -3 and 5?

Answers

Step-by-step explanation:

What equation of axis of symmetry of a parabola if its x-intercepts are 5 and -5. x = 0 is the axis of symmetry. that is the equation of the axis of symmetry because the vertex occurs when x = 0. the line passing through the vertex is the axis of symmetry.

PLS GIVE BRAINLIEST!

Hopfully, I got this right I tried hard. HAVE A WONDERFUL TUESDAY!

a rectangle is graphed on the coordinate grid. which represents the equation of a side that is parallel to side s?​

Answers

Answer:

mmmm. give it to. meeee.

if x = 6,
then -2x + 14 = ?

Answers

Francia está más lejos de aqi

Answer:

2

Step-by-step explanation:

multiply and divide

-2x6=-12

add and subtract

-12+14=2

so the answer would be 2.

i can explain better if you need me to.

Mrs. Lockhart goes to dinner with her 10 besties and they spend $330 on their dinner. How much would their total cost be if they leave a 20% tip? ​

Answers

Answer:

The answer would be 396 if it's plus a tip

What is the y-intercept
of this line? PLEASE HELP I WILL MARK BRAINLIEST TO WHOEVER ANSWERS CORRECTLY FIRST

Answers

Answer:

4

Step-by-step explanation:

am I correct or is there more?

Answers

20/25 is one I think

i need help can yall help me with math

Answers

Answer:

2, 4 by plugging in the answer choices

Help me pleasee I will give brainlst

Answers

Answer:

d) The angles are not equal. The sides of one of the triangles changed, thereby changing its area.

Explanation:

If you look at figure 2, the triangle on top decreased in size.

if you buy 3 bags of apples for $90 find the total of 9 bags of apples.​

Answers

Answer:

$270

Step-by-step explanation:

3÷90= 30

30×9=270

so this is your answer $270

can someone help me plz ​

Answers

Answer:

this is just a guess but 81

Step-by-step explanation:

I hope it is right, but I just did quick math.

so it might also be 82 if you round up to the nearest number. (sorry if this is confusing)

Anyone know this?? I need it ASAP

Answers

The answer is A. one solution because the lines only cross eachother once

What is the perimeter of the rectangle below?

Answers

Answer:

36 in

Step-by-step explanation:

7+7+11+11= 36

Answer:

36 inches

Step-by-step explanation:

2 7inch sides plus 2 11 inch sides

2x7= 14

2x11= 22

14+22= 36 inches

what is the center and radius of a circle with an equation (x+5)2 +(y-1)2 = 64​

Answers

Answer: x = -y+28

Step-by-step explanation:

URRGGEENTTT PLEASE HELP FAST

Answers

Answer:

Quadrant 111 good luck.

which of the following choices is the value of csc 0?

Answers

csc 0 = r/y
r = sqrt 81 + 144
r = sqrt 225
r = 15

csc 0 = 15/12

The value of [tex]csc(\theta)[/tex]  is  [tex]\frac{15}{12}[/tex]

What is right triangle?

"It is a triangle in which one of the angle measures 90° "

What is hypotenuse?

"It is the longest side of the right triangle."

What is Pythagoras theorem?

"For a right triangle, [tex]x^{2}+ y^{2}=z^{2}[/tex], where z is the hypotenuse and x, y are other two sides of the right triangle."

What is csc of angle?

"In a right triangle, csc of angle is the ratio of the hypotenuse to the opposite side of angle."

For given question,

First we find the hypotenuse of the right triangle.

Using Pythagoras theorem,

[tex]\Rightarrow 9^{2} + 12^{2}= r^{2}\\\\ \Rightarrow 81 + 144=r^2\\\\\Rightarrow r=\sqrt{225}\\\\ \Rightarrow r=15[/tex]

so, the hypotenuse is r = 15

Now we find the csc of angle [tex]\theta[/tex]

[tex]\Rightarrow csc(\theta)=\frac{hypotenuse}{opposite~side~of~\theta} \\\\\Rightarrow csc(\theta)=\frac{15}{12}[/tex]

Therefore, the value of [tex]csc(\theta)[/tex] is [tex]\frac{15}{12}[/tex]

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Mr. Martinez wants to get a cell-phone plan. He has
two other deals:
Deal A: T-mobile with initial fee of $200 and
$30 fee each month
Deal B: Verizon with no initial fee and $40 fee each
month
Help Mr. Martinez to select a better deal.

Answers

Answer:

Deal B is better

Step-by-step explanation:

over a year in payment Deal b will be less

La finca de federico tiene un area de 576 m2 , en ella ha sembrado naranja y cafe, 3/8 de la finca estan sembrados de naranjas y el resto de cafe, ¿ cual es el area de la finca que estan sembrada por cafe?

Answers

Responder:

360 m²

Explicación paso a paso:

Área de la finca = 576 m²

Porción de café =

Ración de naranja = 3/8

Español

Área de la granja de naranjos:

3/8 * área de la finca

3/8 * 576m²

= 216 m²

Dado que el resto se utiliza para el café;

Área utilizada para café;

Área total: área utilizada para naranja

576m² - 216m²

= 360 m²

PLS PLS PLS HELP DONT TAKE POINTS AND IF U CAN EXPLAIN AS WELL:)
Determine which two values the following expression is between.
7√37
A.
42.56 and 42.57
B.
42.54 and 42.55
C.
42.57 and 42.58
D.
42.55 and 42.56

Answers

Answer:

Step-by-step explanation:

When you put this into your calculator, you get

42.5793

A: The largest number is too small

B: The largest number is too small

C: This is the answer. The calculator answer will round to 42.58, but before you round the answer is between 42.57 and 42.58

D: and again the largest value is not big enough

Answer:

C

Step-by-step explanation:

7[tex]\sqrt{37}[/tex] = 42.5793377

42.5793377 rounded down is 42.57

42.5793377 rounded up is 42.58

Find the measure of each angle indicated. Round to the nearest tenth.

Answers

I don't know sorry anjsjdjd

Answer:

I don't really understand what you're asking but, m<C equals 90⁰, and i think angle A's measurement says 0⁰, so I'm guessing you have to find angle B?

How do you know that a system has no solution?

Answers

Answer:

A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.

Step-by-step explanation:

what is 0.5p=p+5?
the homework said move p to the other side but i dont really understand that

Answers

Answer: p=-10

Step-by-step explanation:

0.5p=p+5

-p     -p

-0.5p=5

Multiply by -0.5 on each side

p=-10

The value of p in 0.5p=p+5 is -10.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

0.5p=p+5

Now, solving for p

For which p from Right side should be moved to left side

0.5p - p= 5

-0.5p = 5

Now, Divide both side by (-0.5)

-0.5p/ (-0.5)= 5/(-0.5)

p = -10

Hence, the value of p is -10.

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A helicopter is hovering over a landing pad 100 m from where you are standing. The helicopter's
angle of elevation with the ground is 15°. What is the altitude of the helicopter? (Round answer to 2
decimal places)

Answers

Answer:

26.79 meters

Step-by-step explanation:

tan15 = x/100

x = 100tan15 ≈ 26.79

Answer is 26.79m

Angle of elevation and tan Formula:

The angle of elevation is the angle between the horizontal line of sight and the object.

The tan angle = the length of the opposite side / the length of the adjacent side.

Here, the angle of elevation is 15 degrees.

Let's altitude of the helicopter is h.

The horizontal distance is 100m

tan(15°) = h / 100

0.2679 = h / 100

=> h = 0.2679 * 100

=> h = 26.79m

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In ΔMNO, the measure of ∠O=90°, MN = 27 feet, and OM = 20 feet. Find the measure of ∠M to the nearest degree

Answers

Answer:

42

Step-by-step explanation:

Answer:

Step-by-step explanation:

simplify 5√6 + 3√24 - 6√54 + √150​

Answers

Answer:

[tex]= 3 \sqrt{ 6[/tex] + [tex]5 \sqrt{6[/tex]

[tex]= 8 \sqrt{ 6[/tex]

√54+√150

=√2×3×3×3+√2×5×5×3

=3√6+5√6

=8√6

=8×2. 44

=19. 59

Answer:

Step-by-step explanation:

[tex]5\sqrt{6}+3\sqrt{6(4)}-6\sqrt{6(9)}+\sqrt{6(25)}\\ \\ \sqrt{6}(5+3\sqrt{4}-6\sqrt{9}+\sqrt{25}\\ \\ \sqrt{6}(5+6-18+5)\\ \\ -2\sqrt{6}[/tex]

Which numbers will round to 25 when they are rounded to the nearest whole number?

Select each correct answer.

25.47

25.09

25.72

24.49

24.38

Answers

Answer:

25.47, 25.09

Step-by-step explanation:

looking at only the tenths they round down to 25.

The numbers that would round off to 25 when rounded to the nearest whole number are 25.09 and 24.49.

What are the numbers that would round off to 25?

When one is to round off to the nearest whole number, the numbers after the decimal point are to be eliminated.

To round off to the nearest whole number, if the tenth figure is equal to 5 or greater than 5, 1 would be added to the unit term, if this is not the case, zero would be added to the unit term.

When 25.09 and 24.49 are rounded off to the nearest whole number, it becomes 25

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An area of land measures 735 metres by 756 metres. It is to be divided up into square plots of equal size (a) what is the area of the largest squares that will fit on it ?

Answers

Answer:

455g

Step-by-step explanation:

The area of the largest squares that will fit on it is 441 square meters.

What is the greatest common factor?

The greatest number that can divide the numbers in equal parts.

It is called as greatest common factor.

Given:

An area of land measures 735 meters by 756 meters.

That means,

area of land = 735 x 756

area of land = 555660.

It is to be divided up into square plots of equal size.

HCF of (735, 756),

= 21

Now, the area of the largest square,

= (a)², where a is the side of the square.

That means,

A = 21 x 21

A = 441 square meters.

Therefore, the required area is 441 square meters.

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Given that a/b=2/5 and b/c= 3/4. Find a:b:c

Answers

Answer:

a:b:c = 6:15:20

Step-by-step explanation:

Given;

[tex]\frac{a}{b} = \frac{2}{5} \ \ and \ \ \frac{b}{c} = \frac{3}{4}[/tex]

a:b:c is determined as follows;

a:b = 2:5    and      b:c = 3:4

find the common factors in both equation = b = 5 and 3

Then, multiply the first equation by 3 and second equation by 5, so that value of b in both equations will be the same.

a:b = 6:15    

b:c = 15:20

Thus, a:b:c = 6:15:20

PLEASE HELP/LAST CHANCE TO GET A GOOD GRADE
Which expressions are equivalent to 2^5/6^5?

Answers

Answer:

B, D

Step-by-step explanation:

2^5/6^5=0.00411522633744855967

3^-5=0.00411522633744855967

2^5x6^-5=0.00411522633744855967

the answer is B 3^-5

39 is 5% of what number?

Answers

Answer:

780

Step-by-step explanation:

Explanation:

To get from  

5% to 100% you multiply by 20, so multiply the number in this case 39 by 20 percent.

39 is 5 percent of 780.

Given that we need to find 39 is 5% of what number,

To find the number that 39 is 5% of, we can use the concept of proportions.

Let's assume the number we're looking for is represented by "x." We can set up the proportion:

39 is 5% of x

Mathematically, this can be written as:

39 = 0.05x

To solve for x, we divide both sides of the equation by 0.05:

39 / 0.05 = x

The result is:

x = 780

Therefore, 39 is 5% of 780.

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