1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Llana [10]
3 years ago
13

Let line L1 be the graph of 5x + 8y = -9. Line L2 is perpendicular to line L1 and passes through the point (10,10). If line L2 i

s the graph of the equation y=mx +b, then find m+b.
Mathematics
2 answers:
AleksandrR [38]3 years ago
5 0
  • Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept

So firstly, remember that <u>perpendicular lines have slopes that are negative reciprocals to each other.</u> To find the slope of L1, the easiest method is to convert it into slope-intercept form.

Firstly, subtract 5x on both sides of the equation: 8y=-5x-9

Next, divide both sides of the equation by 8 and your slope-intercept form will be y=-\frac{5}{8}x-\frac{9}{8}

Now looking at this equation, the slope appears to be -5/8 for L1. <u>Since L2 is perpendicular, this means that the slope of L2 is 8/5.</u>

Next, to find the y-intercept, put the slope into the m variable and put (10,10) into the x and y placeholders to solve for b as such:

10=\frac{8}{5}*10+b\\10=16+b\\-6=b

<u>Putting it together, your equation is y=\frac{8}{5}x-6, with m = 8/5 and b = -6.</u>

Next, to find the sum you first need to convert -6 so that it has a denominator of 5. To do this, multiply -6 by 5/5 as such:

-\frac{6}{1}\times\frac{5}{5}=-\frac{30}{5}

Next, add the numerators together:

-\frac{30}{5}+\frac{8}{5}=-\frac{22}{5}

<u>Your final answer is -22/5.</u>

Svetradugi [14.3K]3 years ago
3 0

Answer:

-22/5.

Step-by-step explanation:

hope this helps

You might be interested in
"to replace a number with another number that tells about how many or how much". What is ths operation called?
Maru [420]

The operation is known as rounding of a number.

This means basically if i measure the temperature of a city and it comes out to be 22.9 degrees. I will round it of to 30 degrees or the amount of significant figures i am designated with.

Similarly if its 22.85 and i have to round of to 3 significant figures it becomes 22.9 degrees.

ROunding off is obviously done watching to which digit we have to.

8 0
3 years ago
Read 2 more answers
02:42:33
jeyben [28]

Answer:    -10

Step-by-step explanation:

It is -10 because you have to switch the order of operations to get negative.

Hope it helps!

6 0
3 years ago
Teddy is rolling a die and writing the number that shows. The collection of the data is with replacement. (True or False)
maks197457 [2]

Answer:

True

Step-by-step explanation:

You can only collect data if you keep rolling the dice each time

5 0
3 years ago
Kenji's electricity bill costs $21.56 per month plus $2.46 per kilowatt hour. How many kilowatt hours can he use and keep his bi
Alik [6]

Answer:

Kenjii can use 13.19 kilowatt-hour.

Step-by-step explanation:

Giving the following information:

Kenji's electricity bill costs $21.56 per month plus $2.46 per kilowatt-hour.

<u>First, we will structure the total cost formula:</u>

Total cost= 21.56 + 2.46*x

x= kilowatt-hour

54= 21.56 + 2.46x

32.44= 2.46x

13.19= x

Kenjii can use 13.19 kilowatt-hour.

5 0
3 years ago
4. Tierra is 15 years old. Her brother is 6 years older than 1/3 her age. How old is Tierra's brother.
zzz [600]

Answer:

9 years old

Step-by-step explanation: All you have to do is 15-6=

8 0
3 years ago
Read 2 more answers
Other questions:
  • CAN SOMEONE PLEASE HELP WILL GIVE 20 POINTS AND GIVE YOU A FIVE STAR RATING AND GIVE 20 POINTS
    14·2 answers
  • Solve the equation. −4x+3=19
    15·2 answers
  • A scientist is studying wildlife . She estimates the population of bats in her state to be 270,000 . She predicts the population
    11·1 answer
  • You fly a helicopter for 20 minutes that goes at a speed of 240 km per hour. How far did you go?
    11·1 answer
  • What’s the area of a circle
    12·2 answers
  • If B is the midpoint of AC, and AB = 12 cm. How long is segment BC? A 12 cm B​
    10·2 answers
  • Find the sum of x^2+3x and <br> -2x^2+9x+5
    12·1 answer
  • Use trigonometry to solve the triangle shown. Round all side lengths to one decimal place and
    8·1 answer
  • Simplify the expression. Write your answer as a power.
    12·2 answers
  • 2.4x-9 &lt; 1.8x+6 solve the inequality
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!