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

when x is 8 what is 4x

Answers

The answer is 32 because you do 4x8
The answer would be 32! If x=8, then you plug it in for x in the formula which is 4x. 4(8) will equal 32!

The bottom of a ladder rests on the ground and the top of the ladder rests against a wall. The ladder forms a 63° angle with the ground and the top of the ladder is positioned 12 meters up the wall. Which is the exact measure of the ladder in meters?

Answers

Answer:

the one you picked was right.

Step-by-step explanation:

if 63° was the angle and the 12 was the side then "x" will be one the bottom. then you flip the fraction meaning 1/sin63° and x/12 and then multiply 12 on both sides. you will be left with x = 12/sin63°. sorry if that doesn't make sense

Which graph represents this equation?
y=-2 (24)
-2 -1
1 2314
O1 2 3 4
*232)
2 3 4

Answers

Answer:

its the second option under the first one... which is more than likely C.

Step-by-step explanation:

which of these have a these has a sum of 15/6

35/9 + 35/5 or 15/2 + 15/4 or 3/8 + 34/16 or 2/3 + 1/16

Answers

3/8 + 34/16

15/6 can be simplified to 2 1/2

The answer for 3/8 + 34/16 can be simplified to 2 1/2

Can you please help me?

Answers

No I can’t because u didn’t ask a question

Use the commutative property to simplify the expression. niin 3.2.10 5 O A. (10) = 6 - O B. ( - ) - 10 = 2 O c. } } -10 = 10 = 3 - O D. 10.3.3 = 4.5 = 3 PES 30 2 5​

Answers

Answer:

Step-by-step explanation:

666

Answer these questions

Answers

Answer:

y = 5

Step-by-step explanation:

first you subtract 5y from itself and from 7y

then you'll get: 2y + 2 < 12

then subtract the 2 from itself and from the 12

that will give you: 2y < 10

then just divide the 2 from itself and that eliminates the 2 but keeps the y, and divide the 10 by the 2

that'll give you y = 5

Viable what is the definition

Answers

Answer:

capable of working successfully; feasible.

or

Step-by-step explanation:

(of a plant, animal, or cell) capable of surviving or living successfully, especially under particular environmental conditions.

Can someone please help me? Thank you!

Answers

Answer:

Step-by-step explanation:

1) [tex]5^{\frac{2}{3} }[/tex] is in exponential form.

Now, radical form is [tex]\sqrt[3]{5^{2} }[/tex]

2) [tex]5^{\frac{1}{2} }[/tex] is in exponential form.

Radical form is [tex]\sqrt{5}[/tex]

3) [tex]3^{\frac{2}{5} }[/tex] is in exponential form.

Radical form is [tex]\sqrt[5]{3^{2} }[/tex]

4) [tex]3^{\frac{5}{2} }[/tex] is in exponential form.

Radical form is [tex]\sqrt{3^{5} }[/tex]

If you need to ask any question, please let me know.

[tex]\boxed{\sf x+3=12}[/tex]

Answers

Answer:

x = 9

Step-by-step explanation:

x+3 = 12x+3-3 = 12-3x = 9

Answer:

x=9

Step-by-step explanation:

[tex]x+3=12[/tex]

[tex]x+3-3=12-3[/tex] ( Subtract 3 from both sides)

[tex]x=9[/tex]

Layla has a points card for a movie theater.
She receives 30 rewards points just for signing up.
She earns 13.5 points for each visit to the movie theater.
She needs at least 50 points for a free movie ticket.

Which inequality can be used to determine xx, the minimum number of visits Layla needs to earn her first free movie ticket?

Answers

Answer:

2

Step-by-step explanation:

Answer:

30+13.5=43.5 so she needs 6.5 more points

Step-by-step explanation:

−6/7 m = −84

what does m =

Answers

Answer:

m=98

Step-by-step explanation:

-6/7m=-84 - Divide both sides by -6/7

-84/(-6/7)=84*7/6=98

Answer:

m = 98

Step-by-step explanation:

First multiply the fraction's denominator, which is 7, on both sides to get -6m = -588. Then divide both sides by -6 to get m = 98.

Hope this helps you :)

On Tuesday, I worked $t 1$ hours and earned $3t-3$ dollars per hour. My friend Andrew worked $3t-5$ hours but only earned $t 2$ dollars an hour. At the end of the day, I had earned two dollars more than he had. What is the value of $t$

Answers

If I earned $2 more than Andrew at the end of the day, then the value of t  is [tex]1\frac{2}{3}[/tex]

Number of hours that I used to work = 1 hour

My hourly pay =  $3t - 3

My total pay at the end of the day = Number of hours x hourly pay

My total pay at the end of the day = 1 (3t - 3)

My total pay at the end of the day = $ 3t - 3

Number of hours that Andrew used to work = 3t -5 hour

Andrew's hourly pay =  $2

Andrew's total pay at the end of the day = Number of hours x hourly pay

Andrew's total pay at the end of the day = 2 (3t - 5)

Andrew's total pay at the end of the day = $ 6t - 10

At the end of the day, I earned $2 more than Andrew

My total pay = Andrew's total pay + 2

3t - 3   =  6t - 10  +  2

6t  -  3t  =  -3 +10 - 2

3t  =  5

t  =  5/3

[tex]t = 1\frac{2}{3}[/tex]

If I earned $2 more than Andrew at the end of the day, then the value of t  is [tex]1\frac{2}{3}[/tex]

Learn more here: https://brainly.com/question/25765213

Suppose $22,825 is deposited into a savings account with a simple interest rate of 4.03%. Find the account balance after 5 years and 3 months.

Answers

Answer:

80,775

Step-by-step explanation:

I= (22,825) (0.0403) (63)

I= 57,950

P+I=A

I= A+P

I= 22,825 + 57,950

I= 80,775

A class has 30 students. 10 students take the bus. What percentage of students take the bus?

Answers

Answer:

33.3%

Step-by-step explanation:

10/ 30= 0.3(3 would be a reoccurring decimal)

0.3*100=33.3

10% of students take the bus

find the value of x.
View picture for full problem. Please and thank you!
m<2 = 6x + 12.

Answers

Answer:

x = 8

Step-by-step explanation:

All the sides are equal. So, it is an equilateral triangle. So, all angles are 60 each

6x + 12 = 60

6x = 60 - 12

6x = 48

x = 48/6

x = 8

what is the answer to 5+ (6)(3)

Answers

Answer:

23 i think

Step-by-step explanation:

6x3=18 18+5=23 The answer is 23

Use this table of average number of three-point shots per game: graph the points, then choose the sentence that best describes this function.
Year Attempts
1991 28.0
1992 29.8
1993 33.0
1994 34.3
1995 34.0

Answers

Answer:

The average number of three-point shots has increased since 1991.

Step-by-step explanation:

i got it right on my test

plz give me brainlist if this helps :)

The average number of three-point shots has increased since 1991 option (A) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The table is given in the picture.

The graph is shown in the picture

From the graph,

The average amount of three-point shots has grown since 1991

1991 28.0

1992 29.8

1993 33.0

1994 34.3

1995 34.0

Thus, the average number of three-point shots has increased since 1991 option (A) is correct.

The options are:

The average number of three-point shots has increased since 1991.

The average number of three-point shots has remained unchanged since 1991.

The average number of three-point shots increased, then decreased greatly since 1991.

The average number of three-point shots has decreased since 1991.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

what is the y- intercept of this quadratic funtions f(x)=-x2+10x-22

Answers

Y intercept: when x = 0
Plug in x = 0
F(0) = -0^2 + 10(0) - 22
F(0) = 0 - 22

The y intercept is (0,-22)

I need help on two questions here’s the first one!



Antawn wrote a decimal. The value of the 8 in Antawn’s decimal is equal to 8 x 1/10. Which of the following numbers could be Antawn’s decimal?

A. 86.05
B. 68.05
C. 60.85
D. 60.58

Here’s the second question!

Brooklyn rode her bike a total of 75.8 miles in 3 days. She rode 25.2 miles on Friday and 16.9 miles on Saturday. How many miles does she ride her bike on Sunday?

A. 33.7
B. 34.7
C. 42.1
D. 117.9

Answers

Answer:

these are what I ythink the answers are

1) C

2)A

For 1. the answer is B

The temperature at 1 AM is "-10F." The temperature drops 3 degrees per hour for 4 hours. What is the temperature at 5AM?

Answers

Answer:

-13

Step-by-step explanation:

Answer:

-22 F

Step-by-step explanation:

basically since iy drops 3 degrees for 4 hours multiply -3 times 4 to get -12. Once you get that add to the original temperature to get your answer :) hope this helped be sure to mark me brainliest and rate :)

Answer Asap!
<3 <3 <3
Thx

Answers

Answer:

d or b

Step-by-step explanation:

look at where the c and a are and the numbers alighn

In his free time, Gary spends 10 hours per week on the Internet and 14 hours per week playing video games. If Gary has five hours of free time per day, approximately what percent of his free time is spent on the Internet and playing video games?

Answers

Answer:

Convert Gary's amount of free time per day (5 hours) to per week by multiplying it with 7 (as there are 7 days in a week). The operation gives an answer of 35 hours. The percent of his free time spent on the Internet (I) is,

                           I = (14 hours / 35 hours) x 100% = 40%

and that on playing video games (G) is,

                           G = (8 hours / 35 hours) x 100% = 22.86%

Step-by-step explanation:

Find 56÷512 . Write in simplest form.

Answers

Answer:

0.109375

Step-by-step explanation:

Answer:

[tex]^7/_{64}[/tex]

Step-by-step explanation:

[tex]56\div512={^5^6}/_{512}[/tex]

Look for the [tex]GCF[/tex] of [tex]56[/tex] and [tex]512[/tex]

we find that it's [tex]8[/tex]

[tex]56\div8=7\\512\div8=64[/tex]

our fraction in simplest form is [tex]^7/_{64}[/tex]

The temperature of a substance in an experiment changes by 8.7F from 10 am to 1p.m. At 5p.m., the temperature is 33.5°F. It
is 2/3 of what the temperature was at 1p.m.
What was the temperature at 10 a.m. of the substance?
Enter your answer as a decimal in the box

Answers

Answer:

138

Step-by-step explanation:

How does this image help you understand why the French surrendered to the Prussians?

Answers

Answer:

It's hard.

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you look carefully at the diagram, it looks like the French have no way out. The Prussians are on the outside perimeter and can always get supplies into their position. Since they are completely surrounded, the French do not enjoy that luxury.

Furthermore (and I'm guessing here) the Prussians probably outnumbered the French. Now it is possible to get around that problem, but not terribly likely if the numbers are really lopsided.

b2 - 12a when a = 1/4 and b = 8

Answers

Answer:

13

Step-by-step explanation:

b2-12a

2(8)-12(1/4)

16-12/4

16-3

13

If angle 3 = 81, what is angle 4?

Answers

Answer:

99 degrees

Step-by-step explanation:

Angle 3 and 4 added together is 180 degrees since it is a straight line.

if you know angle 3 is 81 degrees, then angle 4=180-81=99

Answer:

99 is the measure of angle 4

Step-by-step explanation:

Two parralel lines cut by a transversal.

This is all you gotta remember

Alternate interior angles (4 and 6, 3 and 5) are congruent (equal)

Altenrate exterior angles (1 and 7, 2 and 8) are congruent (equal)

Corresponding angles (2 and 6, 3 and 7, 1 and 5, 4 and 8) are congruent (equal)

Same side interior angles (3 and 6, 4 and 5) are supplementary (equal to 180 if added up)

Same side exterior angles, (2 and 7, 1 and 8) are supplementary (Equal to 180 if added up)

Same line, opposite transversal (4 and 3, 5 and 6, 8 and 7, 1 and 2) are also supplementary.

The answer for this lol thanks

Answers

Answer:

x times (x+1).

If it's wrong, then I'm an idiot.

Step-by-step explanation:

please helpp and show your work pleasee

Answers

Answer:

[tex]b=27[/tex]

Step-by-step explanation:

[tex]\frac{b}{3} -7=2\\\\\frac{b}{3}=9\\\\b=27[/tex]

Invisible Steps:

Add 7 on each side of the equation:

[tex]\frac{b}{3}-7+7=\frac{b}{3}\\2+7=9[/tex]

Multiple 3 on each side of the equation:

[tex]\frac{b}{3}[/tex] · [tex]3=b[/tex]

[tex]9[/tex] · [tex]3=27[/tex]

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