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
Consider quadrilateral BCEF inscribed in circle A. Diagonals EB and CF intersect at point D. Select all the statements that are
Elena L [17]

Answer:

m\angle ECB+m\angle EFB=180

m\angle CDB\cong m\angle EDF

m\angle CDB+m\angle DCB+m\angle CBD=180 \degree

Step-by-step explanation:

From the diagram, quadrilateral BCEF is a cyclic quadrilateral.

Opposite angles if a cyclic quadrilateral sum up to 180°

m\angle ECB+m\angle EFB=180

The diagonals intersect at D to form two pairs of vertical angles, and vertical angles are congruent.

m\angle CDB\cong m\angle EDF

Also sum of angles in triangle CBD is 180°.

m\angle CDB+m\angle DCB+m\angle CBD=180 \degree

6 0
2 years ago
Write an equation with a slope of -1/2 in each form.<br> point-slope form<br> slope-intercept form.
Evgen [1.6K]

For the case of a line through

(

2

,

7

)

and

(

1

,

−

4

)

we have

slope

m

=

Δ

y

Δ

x

=

−

4

−

7

1

−

2

=

−

11

−

1

=

11

Using the point

(

2

,

7

)

we can write the equation of the line in point slope form as:

y

−

7

=

m

(

x

−

2

)

where the slope

m

=

11

.

That is:

y

−

7

=

11

(

x

−

2

)

To get point intercept form, first expand the right hand side so...

y

−

7

=

11

x

−

(

11

⋅

2

)

=

11

x

−

22

Then add

7

to both sides to get:

y

=

11

x

−

15

=

11

x

+

(

−

15

)

This is point intercept (

y

=

m

x

+

c

) form with slope

m

=

11

and intercept

c

=

−

15

.

6 0
2 years ago
What is the square root of 12 ​
igor_vitrenko [27]

Answer:

The square root is 3 !

brainliest please

7 0
3 years ago
Read 2 more answers
I need help fast! This is polynomials help
antiseptic1488 [7]

Answer:

  • incorrect
  • correct
  • incorrect

Step-by-step explanation:

A + B = (-4x^2 +2x -5) +(3x^2 +6) = x^2(-4+3) +x(2) +(-5+6) = -x^2 +2x +1

  The given sum is Incorrect.

__

A - C = (-4x^2 +2x -5) -(-5x -4) = -4x^2 +x(2+5) +(-5+4) = -4x^2 +7x -1

   The given difference is Correct.

__

B + C = (3x^2 +6) +(-5x -4) = 3x^2 -6x +2

  The given sum is Incorrect.

5 0
3 years ago
Simplify so it's in slope-intercept form (y=mx+b)<br><br> y - 125 = 55(x - 2)
AlexFokin [52]

Answer:

y = 55x + 15

Step-by-step explanation:

i think this is it, but it might not be right

4 0
3 years ago
Other questions:
  • What is a primary power.
    8·1 answer
  • Ten less than the quotient of a number and 3 is 8
    14·1 answer
  • Solve the system of linear equations by elimination −2x+3y=7 and 5x+8y=−2
    14·1 answer
  • Solve for b: <br> b + c = d
    13·1 answer
  • Graph the line with the slope -3/4 passing through the point (4,-1)
    10·1 answer
  • Using only the digits 5, 6, 7, 8, how many different three digit numbers can be formed if no digit is repeated in a number?
    14·1 answer
  • Need help fast will give brainliest!!
    15·1 answer
  • On the North High School tennis team, there are 9 more boys than girls. If there is a total of 21 players, how many boys are on
    15·1 answer
  • What is the area of this trapezoid?
    9·2 answers
  • A manufacturing company with 350 employees is changing the employee health insurance plan to either plan A or plan B. The compan
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!