find the equation of straight line passes through a point (0 ,- 3 )which makes an angle tan^-1(1/3) with the line 3x- 2Y + 13 =0​

Answers

Answer 1

Answer:

Step-by-step explanation:

Edit:

y = (7/9)x = 3

Find The Equation Of Straight Line Passes Through A Point (0 ,- 3 )which Makes An Angle Tan^-1(1/3) With
Answer 2

9514 1404 393

Answer:

  y = 11/3x -3

Step-by-step explanation:

The slope of a line is the tangent of the angle it makes with the x-axis. The slope of the given line is 3/2, so the angle it makes with the x-axis is arctan(3/2) ≈ 56.310°. We want a line that makes an angle of arctan(1/3) ≈ 18.435° with the given line, so its slope will be ...

  tan(56.310° +18.435°) = tan(74.745°) = 11/3

The y-intercept of the desired line is given as (0, -3), so the equation of the line we want is ...

  y = 11/3x -3

_____

Additional comment

The desired slope can be found using the formula for the tangent of the sum of angles. However, simply adding the angles on a calculator saves a lot of arithmetic. (Full precision values must be used.)

The line we have found is at the desired angle measured CCW from the point of intersection with the given line. If you allow the line to have that angle measured CW from the point of intersection, then the slope will be 7/9, and the equation will be ...

  y = 7/9x -3

Find The Equation Of Straight Line Passes Through A Point (0 ,- 3 )which Makes An Angle Tan^-1(1/3) With

Related Questions

apter 3 If a driver uses of a tank of gas every day, what fraction of a tank will he use in a) 3 days? b) 1 week? 21​

Answers

You need to re copy and paste it, I can’t see the full possible answers/question.

find value of x and YZ if Y is between X and Z
XY=2x+1, YZ =6x, and XZ=81

Answers

Answer:

10

Step-by-step explanation:

Applying the segment addition theorem, the value of x = 10

YZ = 60

What is the Segment Addition Theorem?

The segment addition theorem states that if a point, C, lies between two endpoints of a segment, A and B, then: AC + CB = AB.

Given:

XY = 2x+1

YZ = 6x

XZ = 81

Thus:

XY + YZ = XZ (segment addition theorem)

2x + 1 + 6x = 81

Find x

8x = 81 - 1

8x = 80

x = 10

Find YZ:

YZ = 6x

Plug in the value of x

YZ = 6(10)

YZ = 60

Therefore, applying the segment addition theorem, the value of x = 10

YZ = 60

Learn more about the segment addition theorem on:

https://brainly.com/question/1397818

what is 4 and 5???????

Answers

Answer:

586 cm^3 and 486 in^2

Step-by-step explanation:

4) The volume of the triangular prims is (1/2)*(a*c*h) = 0.5*(8*9*16)=586 cm^3

5) Wrapping paper needed is equal to the surface area of the cube, 6s^2=486 in^2

Question 12
A leaking pond loses 16 gallons of water in 5 hours. How many gallons of water will it lose in 41 hours?

Answers

Answer:

131.2 gallons

Step-by-step explanation:

1)16/5= 3.2 gallons - of water are lost in 1 hour;

2)3.2*41=131.2 gallons

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! PLEASE answer thoroughly. Chapter 9 part 2

4. How can you determine the maximum number of solutions for a polynomial? How are these counted on the graph?

Answers

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Answer:

  a) the degree of the polynomial

  b) count the x-intercepts, with attention to multiplicity

Step-by-step explanation:

The Fundamental Theorem of Algebra tells you the number of zeros of a polynomial is equal to the degree of the polynomial. That is, for some polynomial p(x), the number of solutions to p(x)=0 will be the degree of p.

__

On a graph, a real zero of the polynomial will be an x-intercept. The "multiplicity" of a zero is the degree of the factor giving rise to that zero. When the multiplicity is even, the graph does not cross the x-axis at the x-intercept. The greater the multiplicity, the "flatter" the graph is at the x-intercept.

If all solutions (zeros) are distinct, then the number of real solutions can be found by counting the number of x-intercepts of the graph.

_____

By way of illustration, the attached graph is of a 6th-degree polynomial with 6 real zeros. From left to right, they are -1 (multiplicity 1), 1 (multiplicity 2), 4 (multiplicity 3). The higher multiplicities are intended to show the flattening that occurs at the x-intercept, and the fact that the graph does not cross the x-axis where the multiplicity is even.

which is larger 1 1/2 or 1 15/16

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

1 (15/16)

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Converting the Fractions...}}\\\\\rightarrow \frac{1}{2}=\frac{1*8}{2*8}= \boxed{\frac{8}{16}}\\\\\text{We would only compare the fractions because we have the same whole number.}\\\\\frac{8}{16} <\frac{15}{16}\\\\\text{Therefore:}\\\\\boxed{1\frac{15}{16} >1\frac{1}{2}}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

The answer is 1 and 15/16

NEED HELP ASAP

David is shopping for new tires for his 4-wheel-drive truck. In addition to the price of the tires, there is a 10% sales tax plus a state-mandated $60 fee for disposing of his old tires. If David has determined that he will spend less than $578.10 total, then what is the price range he can spend on the tire set?
Select one:

a.
Less than $471

b.
At least 475

c.
$471 or more

d.
Less than 476

Answers

Answer:

a. Less than $471

Step-by-step explanation:

The total price must be less than $578.10.

Let the price of the 4 tires = x.

He pays 10% tax on x. That means he pays x + 10%x = 1.1x including tax.

Then he pays the $60 fee.

He pays a total of 1.1x + 60

That must be less than $578.10

1.1x + 60 < 578.10

Subtract 60 rom both sides.

1.1x < 518.1

Divide both sides by 1.1

x < 471

Answer: a. Less than $471

base:10 height:2.5 what is the slope of the ramp​

Answers

Answer:

Slope is B. ¼

Step-by-step explanation:

Slope: is hypotenuse

[tex] = { \sf{ \frac{ \delta \: height}{ \delta \: base} }} \\ \\ { \sf{ = \frac{2.5}{10} }} \\ \\ = { \sf{ \frac{1}{4} }}[/tex]

slope = b/h = 2.5/10 =0.25= 25/100
which means slope = 1/4

Let f(x) =
[tex] \sqrt[3]{11x - 3 \:} determine \: {f}^{ - 1} (x)[/tex]? here ​

Answers

Step-by-step explanation:

Set up f(x).

[tex] \sqrt[3]{11x - 3} = f(x)[/tex]

Replace f(x) with y

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

Swap x and y

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

Solve for y

Cube both sides

[tex]11y - 3 = {x}^{3} [/tex]

Add 3 to both sides

[tex]11y = {x}^{3} + 3[/tex]

Divide both sides by 11

[tex]y = \frac{x {}^{3} + 3 }{11} [/tex]

so

[tex]f {}^{ - 1} (x )= \frac{ {x}^{3} + 3}{11} [/tex]

Use the diagram to answer the question below.

Name a point not on line AC

Answers

Answer:

It can be the point E or the point D

The strength of a school Increased from 400 to 500 find the Increase percent.

Answers

Answer:

25

Step-by-step explanation:

I'm sorry but I rlly don't rember how I did it because I did this question on a quiz and the teacher said this was that answer but not how to get it.

Help me pls ASAP I WILL GIVE BRAINLIEST
-3 = -e/75

Answers

9514 1404 393

Answer:

  e = 225

Step-by-step explanation:

To eliminate the coefficient of e, multiply both sides of the equation by its reciprocal. The reciprocal of -1/75 is -75.

  (-75)(-3) = (-75)(-e/75)

  225 = e

plzz help me asap i need help picture below
Which line has a slope of -?



line d
line b
line a
line c

Answers

Line d

Explanation: right two and down three since it’s a negative fraction

a team's stadium has a capacity of 86,047. The fan base is notorious for selling out of tickets every game. If every game sells out this year, how many tickets are sold in their 12 game regular season play?

Answers

Answer:

1,032,564 tickets

Step-by-step explanation:

Find how many tickets they sell in total by multiplying the capacity of the stadium by the number of games in the season:

86,047(12)

= 1,032,564

So, if every game sells out, 1,032,564 tickets will be sold.

Using the Factor Theorem, which of the polynomial functions has the zeros 2, radical 3 , and negative radical 3 ? f (x) = x3 – 2x2 – 3x + 6, f (x)= x3 – 2x2 + 3x + 6, f (x) = x3 + 2x2 – 3x + 6, f (x) = x3 + 2x2 – 3x – 6

Answers

To solve this question, we use the factor theorem, and using it, the polynomial function is:

[tex]f(x) = x^3 - 2x^2 - 3x + 6[/tex]

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

The factor theorem means that if k is a root of f(x), f(k) = 0.

Thus, applying the factor theorem for this question, we have to choose the function for which: [tex]f(2) = 0, f(\sqrt{3}) = 0, f(-\sqrt{3}) = 0[/tex]

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

Function 1:

[tex]f(x) = x^3 - 2x^2 - 3x + 6[/tex]

Testing the values:

[tex]f(2) = 2^3 - 2(2)^2 - 3(2) + 6 = 8 - 8 - 6 + 6 = 0[/tex]

[tex]f(\sqrt{3}) = \sqrt{3^3} - 2(\sqrt{3})^2 - 3\sqrt{3} + 6 = \sqrt{3^2\times3} - 6 - 3\sqrt{3} + 6 = 3\sqrt{3} - 3\sqrt{3} = 0[/tex]

[tex]f(-\sqrt{3}) = -\sqrt{3^3} - 2(-\sqrt{3})^2 - 3(-\sqrt{3}) + 6 = -\sqrt{3^2\times3} - 6 + 3\sqrt{3} + 6 = -3\sqrt{3} + 3\sqrt{3} = 0[/tex]

Thus, since all three conditions are satisfied, [tex]f(x) = x^3 - 2x^2 - 3x + 6[/tex] is the polynomial function.

A similar question is given at https://brainly.com/question/11378552

Find the second partial derivatives of the following functions
a) z = 3x^2 − 4xy + 15y^2
b) z = 4xe^y
c) z = 6xln(y)

Answers

(a) z = 3x ² - 4xy + 15y ²

has first-order partial derivatives

z/∂x = 6x - 4y

z/∂y = -4x + 30y

and thus second-order partial derivatives

∂²z/∂x ² = 6

∂²z/∂xy = -4

∂²z/∂yx = -4

∂²z/∂y ² = 30

where ∂²z/∂xy = ∂/∂x [∂z/∂y] and ∂²z/∂yx = ∂/∂y [∂z/∂x].

(b) z = 4x

z/∂x = 4

z/∂y = 4x

∂²z/∂x ² = 0

∂²z/∂xy = 4

∂²z/∂yx = 4

∂²z/∂y ² = 4x

(c) z = 6x ln(y)

z/∂x = 6 ln(y)

z/∂y = 6x/y

∂²z/∂x ² = 0

∂²z/∂xy = 6/y

∂²z/∂yx = 6/y

∂²z/∂y ² = -6x/y ²

There are 200 ounces in 6 liters. How many milliliter (ml) are in 6 liters? (How to do in dimensional analysis?)

Answers

9514 1404 393

Answer:

  6000 mL

Step-by-step explanation:

The prefix "milli-" is an SI standard prefix meaning 1/1000. So, 1 mL = (1/1000)L.

When doing dimension changes, you always want to use scale factors that have a value of 1, which is to say the numerator is equal to the denominator. For converting liters to milliliters, the scale factor you want will have mL in the numerator and L in the denominator:

  (1 mL)/(1/1000 L)   or   (1000 mL)/(1 L)

To do your conversion, multiply your liter volume by this factor.

  [tex](6\text{ L})\times\dfrac{1000\text{ mL}}{1\text{ L}}=\dfrac{6\times1000\text{ mL$\cdot$L}}{1\text{ L}}=6000\text{ mL}[/tex]

6 liters is 6000 milliliters.

__

You will notice that the dimensions "L" cancel, which is the point of the exercise.

_____

Additional comment

6 L is closer to 202.884 fluid ounces. The conversion factor is ...

  [tex]\dfrac{128\text{ fl oz}}{231\text{ in}^3}\times\dfrac{1\text{ in}^3}{(0.254\text{ dm})^3}\times\dfrac{1\text{ dm}^3}{1\text{ L}}=\dfrac{128\text{ fl oz}}{3.785411784\text{ L}}\quad\text{exactly}[/tex]

X < -3 graph line

How do you graph

X < -3

Is it A,B,C,D ?

Answers

Answer:

Option B

Step-by-step explanation:

x<-3 means the values of x will be less than -3, do the dot will be blank and towards the left side of -3

I need help please. Thank you

Answers

Answer:

0.0009765625

Step-by-step explanation:

This is what i got its probally incorrect

I really need help on this been trying for ages

Answers

Answer:

cos F = adjacent/hypotenuse

= 15/28

What is the value of x that makes l1||l2?
A. 15
B. 25
C. 18
D. 29

Answers

Answer:

x = 29

Step-by-step explanation:

The angles are corresponding angles and corresponding angles are equal when the lines are parallel

3x+17 = 4x-12

Subtract 3x from each side

3x+17-3x = 4x-12-3x

17 = x-12

Add 12 to each side

17+12 = x-12+12

29 =x

Answer:

D. 29

Step-by-step explanation:

If you plug in 29 in the missing values for L1 and L2, you get

L1 = 3(29) + 17 = 104

L2 = 4(29) - 12 = 104

I know I am correct because since both L1 and L2 are parallel and T in cutting them, I know that they are both going to be the same degrees, 104.

So, your answer would be D. 29

Hope the helps! :)

[tex]log(x) * log(2)[/tex]

Why can't this problem be solved?

Answers

Answer:

Because it is not an equation.

Step-by-step explanation:

[tex] log(x) \times log(2) \\ = log(x + 2) [/tex]

A general wishes to draw up his 7500 soldiers in the form of a square. After arranging, he found out that some of them are left out. How many soldiers were left out ?​

Answers

If you want to form a square of 7500 soldiers, the side of the square must be [tex]\sqrt{7500}\approx86.6[/tex] soliders.

But since you cannot have 0.6 solider, the general needs to find the closest perfect square to the number 7500 which is less than 7500.

That number is 7396 which when square rooted gives 86 soliders on the side.

Subtract 7396 from 7500 and get how many soliders were left out,

[tex]7500-7396=\boxed{104}[/tex]

Hope this helps :)

Find the equation of the line: with a slope of -1/2 through (4,5)

Answers

Answer:

y=-1/2x+3

Step-by-step explanation:

y=mx+c

5=-1/2*4+c

5=-2+c

c=5-2

c=3

y=-1/2x+3

Solve: 5 + n > 2

Just let me know because I am stuck and need to know the answer for this test please let me know thank you ❤️

Answers

[tex]\\ \sf\longmapsto 5+n>2[/tex]

We have to find n Take 5 to right side sign will be changed

[tex]\\ \sf\longmapsto n>2-5[/tex]

Simplify

[tex]\\ \sf\longmapsto n>-3[/tex]

express 6.25 as a fraction and find the square root as a decimal​

Answers

Answer:

There are several ways to find this. For example:

6.25

=

6

+

1

4

=

25

4

=

25

4

=

5

2

=

2.5

6.25

=

625

100

=

625

100

=

25

10

=

2.5

-3(y-5)+6y-2 simplify using distributive property and then combine like terms ANOTHER ONE PLEASE

Answers

Answer:

3y+13

Step-by-step explanation:

-3(y-5)+6y-2

Distribute

-3y +15 +6y-2

Combine like terms

-3y+6y  +15-2

3y            +13

[tex]\bf \large{\purple{ \implies}} \tt \: - 3(y - 5) \: + \: 6y \: - \: 2[/tex]

[tex]\bf \large{\purple{ \implies}} \tt \: - 3y \: + \: 15 \: + \: 6y \: - 2[/tex]

[tex]\bf \large{\purple{ \implies}} \tt \: - 3y \: + \: 6y \: + \: 15 \: - \: 2[/tex]

[tex]\bf \large{\purple{ \implies}} \tt \: 3y \: + \: 13[/tex]

there are 3 blouse and 2 pieces cloths for sale in the market. how many possible sets are there?​

Answers

Answer:

Each item could be included in a set or not included. That gives 2^5 = 32 ways to choose sets, including 1 set with no items, 5 sets of 1 item, 10 sets of 2 items, 10 sets of 3 items, 5 sets of 4 items, and 1 set of 5 items.

can someone help? i can’t figure this out; i’ll give brainliest:))

Answers

What we need to memorize when finding the slope is this formula:

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

m here represents the slope. I hope this does not confuse you with line m.

The problem here is that we do not have any given points, but we have a way.

If we notice on the graph, the graph contains or passes through (2,-1) and (-2,1). We can use these points to find the slope. So let these be the following:

[tex] \displaystyle \large{(x_1,y_1) = (2 ,- 1)} \\ \displaystyle \large{(x_2,y_2) = ( - 2 ,1)} [/tex]

Then we substitute these points in the formula.

[tex] \displaystyle \large{m = \frac{ 1 - ( - 1)}{ - 2 - 2} }[/tex]

negative × negative = positive.

[tex] \displaystyle \large{m = \frac{ 1 + 1}{ - 2 - 2} } \\ \displaystyle \large{m = \frac{ 2}{ - 4} } \longrightarrow \boxed{m = - \frac{1}{2} }[/tex]

Since m represents the slope. Therefore, the slope of line m is -1/2

Three blocks are shown. Which statement is correct?
A. Block A has the greatest density
B. Block B has the greatest density
C. The density of Block A is equal to the density of Block B
D. The density of Block B is equal to the density of Block C

Answers

Answer:

Block A has greatest density because it also the biggest.

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

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