The equation of line l is y=2/3x+5. The equation of line m is y=3/2x−1. What is the relationship between the two lines?

Answers

Answer 1

Answer:

If there is not a typo and you aren't missing a minus sign on the slopes, l and m are simmetrical relative to the line [tex]y=x+\frac{13}5[/tex]

If there is a typo nad one of the slopes is negative, they're perpendicular.

Step-by-step explanation:

The product of the slope is 1 -unless you forgot a minus sign somewhere.

In general, two lines of the form [tex]y=kx ; y= \frac1k x[/tex] are simmetrical relative to [tex]y=x[/tex]. Alas, the intercepts are different, but it's easy to spot by drawing them that they would be simmetrical to the parallel to [tex]y=x[/tex] passing through their intersection, by translation. Let's find that point

[tex]\frac23x +5 = \frac32x-1\\4x+30 =9x-6 \rightarrow 5x=36 \rightarrow x= \frac{36}5\\y=\frac 23(\frac{36}5)+5 = \frac{24}5 + \frac{25}5 = \frac{49}5[/tex] Their simmetry line - which is also their angular bisector! - is [tex]y=x+\frac{13}5[/tex]


Related Questions

Please help! WILL MARK BRAINLIEST

Answers

Answer:

50

Step-by-step explanation:

Hong paid $12.53 for a 7.03-kg bag of dog food. A few weeks later, he paid $14.64 for a 7.98-kg bag at a different store.
Find the unit price for each bag. Then state which bag is the better buy based on the unit price.

Round your answers to the nearest cent.

Answers

Answer: First bag unit price: 1.78

second bag unit price : 1.83

Step-by-step explanation:

divide the price by the weight. First bag is better

solve for b please. last one​ 33 points

Answers

Answer:

32

Step-by-step explanation:

6^2= b^2 + 2^2

b^2 = 36- 4

b^2= 32

b= √32

Answer:

√32

Step-by-step explanation:

The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.

6² - 2² = b²

36 - 4 = b²

32 = b²

A polyhedron has 6 faces and 7 vertices, how many edges does it have explain your answer
Indeed it in 5mins hurry plsssss

Answers

Answer: 12

Step-by-step explanation:

what does coplanar mean?

Answers

Answer:

Step-by-step explanation:

Co-planer

When points are in the same plane it means that the points are co-planer.

Answer:

In geometry, a set of points in space are coplanar if there exists a geometric plane that contains them all.

Let z = 8 – 3i, and z2 = a + bi. What are the values of a and b?

Answers

The values of a and b from the given complex numbers is 8 and -3 respectively.

The standard form of representing complex number is expressed as z = x + iy

Given the complex numbers z = 8 – 3i, and z2 = a + bi

To get the values of a and b, we need to compare both expressions as shown:

For the real part;

a = 8

For the imaginary part:

-3i = bi

-3 = b

Swap

b = -3

Hence the values of a and b from the given complex numbers is 8 and -3 respectively.

Learn more about complex numbers here: https://brainly.com/question/12375854

How would you write 12 as a Roman numeral?

Answers

Answer:

ⅠⅠⅩ

Step-by-step explanation:

ok

Answer:

Step-by-step explanation:

Therefore, 12 in roman numerals is written as XII = X + II = 10 + 2 = XII.

. A triangle has an angle that measures 85°. The other two angles are in a ratio of 6:13. What are the measures of those two angles?


AND EXPLAIN THE STEPS

Answers

Answer:

Smaller angle : 30 degrees

Bigger Angle : 65 degrees

Step-by-step explanation:

85+6x+13x=180, 85+19x=180,19x=95,x=5

Smaller angle : 30

Bigger Angle : 65

mike deposited a sum of rs 64000 in a post office for 4 years, compound annually at 4% per annum. What amount will he get on maturity

Answers

Answer:

79507

Step-by-step explanation:

because 64000(1+15/200)^3= 79507

15 metres at a speed of 20 cm/s (answer in seconds) a ​

Answers

Here's the perfect answer.

PLEASE MARK ME BRAINLIEST

Find the value of z

Answers

Answer:

z = 9 I think

Step-by-step explanation:

Because I did the quiz

Help please this is for a exam i give brainliest to!
Which expression results in a sum or difference of 4 9/36?

A: 8 2/3 - 4 5/12

B: 2 3/12 + 2 1/3

C: 6 5/9 - 2 1/4

D: 3 1/4 + 1 4/9
NO LINKS!!!

Answers

Answer:

The Answer is A. :)

Step-by-step explanation:

Evaluate g(x)=4−3x when x=−3, 0, and 5

Answers

Answer:

13, 4, and -11

Step-by-step explanation:

g(-3)=4+9=13

g(0)=4+0=4

g(5)=4-15=-11

24+18a=
help i can not get the answer

Answers

That is the simplest version. Unless you meant 24+18a=0. I assume you meant = 0. So, let’s subtract 24 on both sides. 18a = -24. Then let’s divide by 18 on both sides to get the answer, b = 3/4. Unless you didn’t mean the 0 there, the sneers is in simplest form then.

Is this graph proportional or non-proportional? How do you know?

Answers

Answer:

It is a proportional graph.

Step-by-step explanation:

By definition, a proportional graph is a graph which goes through the origin (O), in this picture the graph appears to indeed go through the origin, and is thus proportional.

With an 18% discount, Joah was able to save $13.23 when buying a coat.
What was THE original price?

Answers

Answer:

The original price of the coat is $ 73.5Step-by-step explanation:Let x be the original price( in dollars ) of the coat.

Step-by-step explanation:

Question 2: Select the property shown
by the statement: If 7 = x and x = y, then
7 = Y
A. Commutative
B. Associative
C. Reflexive
D. Symmetric
E. Transitive

Answers

Answer:

1. option C, i.e., symmetric property.

2. option B, i.e., Integer

3. option D, i.e., zero product property

Step-by-step explanation:

Symmetric property: According to this property it a=b the b=a.

By symmetric property, we can say that, if y=7 then 7=y.

Therefore, the correct option is C, i.e., symmetric property.

Closure property: According to this property, if a∈S and b∈S, then a*b∈S.

Subtraction of natural numbers is not always natural.

Subtraction of integers is always integer.

Subtraction of irrational number is not always irrational number.

Subtraction of odd number is always even.

Therefore, the correct option is B, i.e., Integer.

Given statement is (a-b)*0=0.

According to zero product property if ab=0, then a=0 or b=0.

So, the given statement is true by zero product property.

Therefore, the correct option is D, i.e., zero product property.

Help me on this please

Answers

I don’t think that I can help you. But good luck on that. And I hope you have an amazing day!

What is mode in math.

Answers

Answer:

the number that appears the most in a data set

Step-by-step explanation:

example

3,4,5,2,3,3,3,7,7

Mode:3

If x = − 6, which number line shows the value of |x|?

Answers

Answer:

I would say the one that has the blue dot. bc, the absolute value of -6 is 6.

Answer:

The second one -6[------------]0 with 6 on top.

Step-by-step explanation:

Solve for c.
c= -9 - 8c

Answers

c=-9-8c

+8c

9c=-9

c=-1

Hope this helps:D!!

The letter C is equal to negative one.

c = -1

Hope this helps!

how many solutions does  3x+9=25x+14 have?

Answers

Answer:

one solution

Step-by-step explanation:

3x + 9 = 25x + 14

-3x         -3x

9 = 22x + 14

-14         - 14

-5 = 22x

What are the solutions of y=x^2+5x-7

Answers

Answer:

You have two variables, and only one condition. It means you have infinite solutions of the form [tex](t; t^2+5t-7)[/tex]. Technically correct, probably not what you want to know.

If you wanted to know if and where the RHS crosses the x axis, the points are the solution to

[tex]x^2+5x-7= 0 \rightarrow x=\frac12(-5\pm\sqrt{25+28})\\x_1= \frac12(\sqrt{53}-5); x_2=-\frac12(\sqrt{53}+5)[/tex]

If you wanted the graph it's a parabola passing through the two points we just found, (0;-7), and with an axis of equation [tex]x=-\frac52[/tex].

please answer this for me!!​

Answers

Answer:

x = 40

y = 8

Step-by-step explanation:

3x-9 = 2x+31

3x-2x = 31+9

x = 40

4y+5 = 2y+21

4y-2y = 21-5

2y=16

y=8

In a group of students, 50% like tea, 70% like coffee, 10% don't like both and 120 like both. By using Venn diagram, find the total number of students.​

Answers

Answer:

Since 10% like neither, then 90% must like tea(T), coffee(C) or both(B). So what % like both? That % would have to be deducted from both the tea and coffee likers to arrive at tea only (TO), coffee only (CO) and those liking both and the three would have to sum to 90%, since 10% like neither. So whatever % the 120 represents it must be deducted from both the tea and coffee likers. I don’t know how to add graphics but in equation form

50-x + 70-x + x + 10 = 100, 130-x = 100, -x = -30, X = 30%,

120/30% = 400, 50%(T)-30%(B)=20%(TO) or 80, 70%-30%=40% or 160, 30% or 120, and 10% or 40

80+160+120+40=400

Answer:

Step-by-step explanation:

  50%        70%                 10%

like tea    like coffee      don't like both

100%-10% =90%

                   like coffee,tea or both

   50%  +   70%         =120%  -   90%   =   30%

like tea + like coffee  =          -           =    like both

LIKE BOTH           30%=`120

means 1%=4

100%=400

Select all the products that are negative.
(–4)(–9)(2)
(–4)(9)
(6)(6)(–2)
(–6)(–6)
(6)(–6)

Answers

Answer:

(–4)(9)

(6)(–6)

(6)(6)(–2)

Step-by-step explanation:

(–4)(–9)(2)

=36(2)

=72, No

(–4)(9)

=-36, Yes

(6)(6)(–2)

=36(-2)

=-72, Yes

(–6)(–6)

=36, No

(6)(–6)

=-36, Yes

Find the slope for the table.

Answers

Answer:

2

Step-by-step explanation:

as x increases by 2, y increases by 4, slope= rise/run, so the slope= 4/2=2

y+5 = -3/2(x-2) in slope intercept form

Answers

Answer:

  y = -3/2x -2

Step-by-step explanation:

Solve for y:

  y +5 = -3/2x +3 . . . . . eliminate parentheses

  y = -3/2x -2 . . . . . . . . subtract 5

The slope-intercept form of the equation is ...

  y = -3/2x -2

Answer:

[tex]y = -\frac{3}{2} x -2[/tex]

Step-by-step explanation:

[tex]y+5=-\frac{3}{2} (x-2)[/tex]

The slope-intercept form is  [tex]y =mx+b[/tex], where [tex]m[/tex]  is the slope and [tex]b[/tex]  is the [tex]y[/tex]-intercept.

[tex]\mathrm{Simplify}: -\frac{3}{2} \cdot(x-2)[/tex]

[tex]\mathrm{Move\: all\: terms\: not\: containing}\:\bold{y}\: \mathrm{to\: the\: right\: side\: of\: the\: equation.}[/tex]

[tex]\sf{Then,\:rewrite\: in\: slope-intercept\: form.[/tex]

find the length of segment AB

Answers

11x-9=6x+11
11x= 6x+20
5x=20
x=4
So plug in 4 to AB 11(4)-9

can someone please help me!! this assignment is due at 11:59 I need this done

Answers

tan(40)= x/20 => x= tan(40).20= 16,78
Ok done. Thank to me:>

Answer:

x=16.782

Step-by-step explanation:

a=40*

b=20

c=90*

d=40* (corner in lower right corner, we know it equals 40* because all triangles equal 180*)

e=26.108 (bottom side)

Hope this helps! BH

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