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
Need help so much help thanks for helping
Sphinxa [80]
You are so scary dude
7 0
3 years ago
A square has an area of 64 m². What is the length of each side?
anygoal [31]

Answer:

8m

Step-by-step explanation:

The area of a square is length*width.

We can square root the area to get the length of each side. Since the shape is a <em>square</em>, the lengths are the same.

\sqrt{64}=8

One side is <u>8m</u>.

7 0
3 years ago
12a = 4 what is a HELP ME PLZ
lisabon 2012 [21]
Answer: 3

3x4 is 12

Hope this helps!
4 0
3 years ago
Read 2 more answers
Jane is opening a savings account with an initial deposit of $100. The bank offers a 5%
yKpoI14uk [10]

Answer:

105 dollars after a year

Step-by-step explanation:

I = (100)(0.05)(1)

I = 5

4 0
3 years ago
An insurance policy sells for $800. Based on past data, an average of 1 in 50
skad [1K]

Answer: i needed this question too!

7 0
3 years ago
Other questions:
  • Determine the length of side C &amp;&amp; B In each of the triangles below
    10·1 answer
  • Subtract 28 from 54, and then subtract the difference from 32. Which expression means the same as the words ?
    8·1 answer
  • Please answer this correctly without making mistakes
    8·1 answer
  • Which question could be answered by the organized list shown? Select two answers.
    7·2 answers
  • 8.25 divided by 53790 and 825 divided by 5379000
    12·2 answers
  • Explain the meaning of the negative slope in the situation
    10·1 answer
  • The square root of a product of two positive real numbers is the product of their square roots. Write an algebraic expression ba
    12·1 answer
  • It takes 3 minutes to walk 37.5 meters. What is the speed
    5·2 answers
  • A review of combination
    8·1 answer
  • un almacén de pinturas utiliza 2/3 de la superficie para almacenar pinturas, 1/4 del resto para disolventes y los 600m² restante
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!