Find the equation of the straight line which passes through the point (2,3) and is
inclined at 30° to the positive direction of the x-axis.

Answers

Answer 1

Answer: y = 1.73*x - 0.46

Step-by-step explanation:

For a linear equation of the form:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we have an angle of A degrees with respect to the x-axis, the slope of the function can be calculated as:

Tan(A) = a.

in this case, we have we have an inclination of 30° to the positive x-axis (measured from the positive y-axis) and we know that the angle between the positive x-axis and the positive y-axis is 90°, then the angle measured from the positive axis will be such that:

A + 30° = 90

A = 90° - 30° = 60°

Then the slope is:

a = Tan(60°) = 1.73

Then we have the equation:

y = 1.73*x + b

And we know that this line passes through the point (2, 3) then we can replace x by 2 and y by 3 in the equation, and find the value of b.

3 = 1.73*2 + b

3 - 1.73*2 = b = -0.46

Then the equation is:

y = 1.73*x - 0.46


Related Questions

A baboon pushes a 5.5 kg that is initially at rest. . What is the box's change in momentum between 0 ms and 40 ms?

Answers

I believe it is X to be the answer to the question

Answer:

0.80

Step-by-step explanation:

what is the formula to calculate velocity?

Answers

Answer:

Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation v = Δs/Δt. Speed (or rate, r) is a scalar quantity that measures the distance traveled (d) over the change in time (Δt), represented by the equation r = d/Δt.

here is a picture.

I hope this helps.

The answer above should be correct , I believe it is . But can you please mark me BRAINLEST?


14. Two sides of a parallelogram are in the ratio 5 : 3 and its perimeter is 48 cm. Find
the length of each of its sides.​

Answers

Answer :-

Given :-

Ratio of two Sides of Parallelogram ( Length and breadth) = 5 : 3

Perimeter of the parallelogram = 48cm

To Find :-

Length of each side of the parallelogram

Formula :-

Perimeter of the parallelogram = 2( length + breadth)

Solution :-

Let the length and breadth be 5x and 3x

2(5x + 3x) = 48cm

2(8x) = 48cm

x = 48/16

x = 3cm

Length = 5x = 5×3cm = 15cm

Breadth = 3x = 3×3cm = 9cm

We know that,

In parallelogram Opposite sides are equal

Hence, The sides of the Parallelogram are 15cm, 9cm, 15cm and 9cm

plz help me find answer. what are the coordinates of slope when y= x/1–x² when dy/dx=1​

Answers

Step-by-step explanation:

dy/dx

= d/dx [x / (1 - x²)]

= [(1 - x²)(1) - (x)(-2x)] / (1 - x²)²

= (1 + x²) / (1 - x²)².

When dy/dx = 1, (1 + x²) / (1 - x²)² = 1.

=> 1 + x² = 1 - x²

=> 2x² = 0, x = 0.

Also when x = 0, y = (0) / [1 - (0)²] = 0.

Hence the coodinates is (0, 0).

what is the measure of the central angle that represents blue backpacks?

Answers

Answer:

Yes it is 10

Step-by-step explanation:

Find the difference (5x3-3x+6) - (2x2-4x+8)

Answers

Answer:

wait 3x+6?????

Step-by-step explanation:

Answer:

5x^3 -2x^2+x-2

Step-by-step explanation:

PLEASE HELP I WILL GIVE BRAINLEIST PLEASE ALSO SHOW STEPS!!!!!!
Write the equation of a line that passes through the point (-1,5) and has a slope of -7. Your answer should be given in the form y = mx + b

Answers

Answer:

The equation of a line that passes through the point (-1,5) and has a slope of -7 will be:

y = -7x-2

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Given

The point (-1, 5)Slope m = -7

substituting m = -7 and the point (-1, 5) in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

5 = -7(-1) + b

5 = 7+b

b = 5-7

b = -2

Thus, the y-intercept is: b = -2

now substituting b = -2 and m = -7 in the slope-intercept form of the line equation

y = mx+b

y = -7x+(-2)

y = -7x-2

Therefore, the equation of a line that passes through the point (-1,5) and has a slope of -7 will be:

y = -7x-2

What is the value of x?
D
(x-4)
B
с
E
19
А
F

Answers

Answer:

How are we supposed to know what X is

Step-by-step explanation:

This doesn't make sense emphasize more

Answer:x=23 because 23-4=19 which equals to one side of the triangle

Step-by-step explanation:

Uhmm I got it right :D

Right answer gets brainlist.

Answers

Answer:

2309

Step-by-step explanation:

V=[tex]\pi r^{2} h[/tex]

plug in

V=2309.07

HELPPP NEED THIS IN 10 MINSSSS!!!

Answers

the answer is 120 because u times them

Answer:

120 square units.

Step-by-step explanation:

Area= Base x Height.

So given that, in this equation...

Area=12x10.

12x10=120.

10,20,30,40,50,60,70,80,90,100,110,120

| 1 | 2 | 3 | 4 | 5  | 6  | 7  | 8 | 9 | 10 | 11 | 12 |

12,24,36,48,60,72,84,96100,120.

Jupiter,Saturn or Uranus?

Answers

Answer:

Jupiter :)

Step-by-step explanation:

I need help, my teacher didnt teach up this​

Answers

Answer:

The volume is 1539.38

Step-by-step explanation:

Answer:

384.7 cubic inches

Step-by-step explanation:

formula to find Volume of a Cylinder:  

V = π · r² · h

7 is the diameter, so r = 3.5

V = π (3.5)² · 10

V = π (12.25)(10)

V = π · 122.5

V ≈ 384.7 in³

Please help me with this!!

Answers

Answer:
2 dollars each

Step-by-step :
Since 7 - 3 is 4
And 2 fries were bought then we have to divide 4 by 2 which equals 2. So 2 dollars were each small package of fries.

i don't understand. May you help?​

Answers

Answer:

Step-by-step explanation:

Function rule:

y = 10(0.95)ˣ

If a function is given as,

y = a(b)ˣ

a represents 'Initial value'

b represents the growth factor

If 0 < b < 1, function is a decay function.

If b > 1, function is a growth function.

For 2 = 10(0.95)ˣ,

Here, b = 0.95 which is in the interval of 0 < 0.95 < 1

So it's a decay function.

[tex]\frac{2}{10}=(0.95)^x[/tex]

log(0.2) = log[(0.95)ˣ]

log(0.2) = x[log(0.95)]

-0.6989 = -x(0.0223)

x = 31.44

x ≈ 31

Meaning → For 'x' = 31, value of the function is 2.

For 8 = 10(0.95)ˣ,

0.8 = (0.95)ˣ

log(0.8) = log(0.95ˣ)

log(0.8) = xlog(0.95)

x = 4.35 ≈ 4.4

Means, at x = 4.4, value of the function was 8.

What is the value of x?

Answers

(X + 5)(x + 4) = (x + 12)(x + 1)
x^2 + 9x + 20 = x^2 + 13x + 12
4x = 8
x = 2

x = 2

please help me please will give brainliest


please solve that way it's said in the picture please question 1 and 2​

Answers

Question 2
2x^2 +2x - 2 + 1/x-1

_____+67-34=72 plzzz help me​

Answers

ax ndw/klfme'lwmqasxdefrtghy6u7jygtrfasStep-by-step explanation:

Answer:

Solve everything backwards

It REALLY helps!

Step-by-step explanation:

One Friday night, two large groups of people called Centerville Taxi Service. The first group
requested 3 sedans and 2 minivans, which can seat a total of 21 people. The second group
asked for 3 sedans and 3 minivans, which can seat a total of 27 people. How many
passengers can each type of taxi seat?

Answers

Answer:sedan can hold 3 people and a minivan can hold 9 people.

Step-by-step explanation:

Suppose the number of passengers each sedan can carry is A and the number of passengers each minivan can carry is B

So 3A + 2B = 21 and 3A + 3B = 27

If we subtract the equations we can solve for B

3A + 3B = 27

-3A - 2B = 21

___________

B = 6

Now we know Each minivan can hold 6 passengers and we can solve for A.

3A + 3B = 27

3A + 3(6) = 27

3A + 18 = 27

- 18. -18

__________

3A = 9

A =3

You can check this by solving the other equation.

3A + 2B = 21

3(3) + 2(6) = 21

9 + 12 = 21

Hope that helps

Four friends own a carwash, the first total profit in the first month was 438 and two months each other friends had made a profit of 184 they always divide the profits eat equally how much profit did the car wash making the second month?

Answers

Answer:

298

Step-by-step explanation:

given data

total friend = 4

total profit in the first month = 438

two months each friend profit = 184

solution

we consider here total profit second month is = x

so

profit second month = 184 × 4 - 438

x = 736 - 438

x = 298

so that here profit that car wash making the second month is 298

Frank thinks that 2x + 3x2 is the same as 5x3. Which statement shows that it is NOT the same? 2x + 3x2 = 5x2 2(6) • 3(6)2 ≠ 5(6)3 2x + 3x ≠ 5x 2(4) + 3(4)2 ≠ 5(4)3

Answers

Answer:

The correct option is therefore D. 2(4) +3(4)^2 ≠ 5 (4)^3.

Step-by-step explanation:

Note: This question is not written in the proper form. It is therefore properly rewritten before answering the question as follows:

Frank thinks that 2x + 3x^2 is the same as 5x^3. Which statement shows that it is NOT the same?

A. 2x+3x^2 = 5x^2

B. 2(6) * 3(6)^2 ≠ 5(6)^3

C. 2x +3x ≠ 5x

D. 2(4) +3(4)^2 ≠ 5 (4)^3

The explanation of the answer in now given as follows:

The answer is determined by verifying which of the options has the same functional form as the functional form in the question and it is NOT disproved.

As it can be seen, only option has the same functional form as the functional form in the question.

Given 2(4) +3(4)^2 ≠ 5 (4)^3

By doing the calculation of each side, we have:

2(4) +3(4)^2 = (2 * 4) + (3 * 4^2) = 56

5 (4)^3 = 5 * 4^3 = 320

Therefore, 2(4) +3(4)^2 ≠ 5 (4)^3

Since the calculation does not disprove that 2(4) +3(4)^2 ≠ 5 (4)^3, the correct option is therefore D. 2(4) +3(4)^2 ≠ 5 (4)^3.

Answer:  D. 2(4) +3(4)^2 ≠ 5 (4)^3.

Step-by-step explanation: I got it write on one of my tests.

PLEASE HELP ME I'LL MAKE UP BRAINLIST AND GIVE YOU 100 POINT!!

Answers

I think 55
And 121
I’m pretty sure that is the answer also but I’m not 100% sure

Answer:

55 pirates

121 pirates

Step-by-step explanation:

Every 11 pirates for one pirate ship.

5 * 11 = 55

Therefore, it would be 55 pirates

11 * 11 = 121

Therefore, it would be 121 pirates

Heather made a shirt using 1/2 yards of green fabric & 1/3 yards of blue fabric. How many yards of fabric did she use in all ?

Answers

1/2 yards = 18 inches
1/3 yards = 12 inches
30 inches in total
30/36
simplify
5/6

HELP PLEASE 35 points

Answers

Answer:

A because f(x) repeats

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

hope it helps

What is the image point of (-7,7) after a translation right 1 unit and down 3 units?

Answers

Answer:

(-6,4)

Step-by-step explanation:

-7-(-1)=-6

7-3=4

Help me please! ASAP thank you :)

Answers

Answer:

7

Step-by-step explanation:

7+2=9

7 puzzles

7 puzzles

PLEASE HELP ME PLEASEEEEEEEEEEE
A triangle is inscribed in a square, as shown. Write a simplified function r​ in terms of x​ that represents the area of the shaded region.

Answers

Answer:  0.5x^2

This is the same as (1/2)x^2 because 1/2 = 0.5

We could rewrite that into [tex]\frac{x^2}{2}[/tex]

=========================================================

Explanation:

The base of the white triangle (aka unshaded region) is x, while the height is also x

The area of the white triangle is

A = 0.5*base*height

A = 0.5*x*x

A = 0.5*x^2

The area of the entire square is x*x = x^2. Subtract off the area of the white triangle to get the area of the two blue shaded regions combined

shaded region = (square area) - (white triangle area)

shaded region = (x^2) - (0.5x^2)

shaded region = x^2 - 0.5x^2

shaded region = 1x^2 - 0.5x^2

shaded region = (1-0.5)x^2

shaded region = 0.5x^2

So the white triangle occupies half of the square, while the blue shaded region occupies the remaining 50% of the square.

Because 0.5 = 1/2, we can write this as (1/2)x^2, but I think using decimals in this case is easier.

Simplify: (3+√5)(4-√5)

Answers

Answer:

7+√5

Step-by-step explanation:

Answer:

7+[tex]\sqrt{5}[/tex]

Step-by-step explanation:

13
y у
3
Х
4
What is y?

Answers

Y is 13 and X is 4 hope this helped

Work needs to be shown please someone help and don’t answer for your benefit with no intention to help

Answers

Answer:

[tex]\frac{x+3}{x+2}[/tex]

Step-by-step explanation:

[tex]\frac{x^2+10x+21}{x^2+9x+14}[/tex]           Factor the expressions that are not already factored.

=

[tex]\frac{(x+3)(x+7)}{(x+2)(x+7)}[/tex]           Cancel out x+7 in both numerator and denominator.

=

[tex]\frac{x+3}{x+2}[/tex]


HELP PLS!! I need help for question 10, answers a, b, and c! (Everything is in the picture)

Answers

Answer:

A. The line on the left

B.not sure

C. 20 dollars

Step-by-step explanation:

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