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
Dennis_Churaev [7]
3 years ago
8

The slope of a line that is parallel to each line whose equation is given

Mathematics
1 answer:
Kobotan [32]3 years ago
3 0
Parallel lines, slope is the same so
1) 3x+8y = 12
8y = -3x + 12
  y = -3/8(x) + 3/2, slope = -3/8

slope of a line that is parallel = -3/8

2)5x+4y = 5
  4y = -5x + 5
    y = -5/4(x) + 5/4; slope is -5/4

slope of a line that is parallel = -5/4
--------------------
perpendicular, slope is opposite and reciprocal

3)
3x+8y = 11
 8y = -3x + 11
   y = -3/8(x) + 11/8. slope = -3/8
slope of perpendicular line = 8/3

4)
x = -7, slope is undefined
so slope of perpendicular line is 0

5)
3x+2y = 12
2y = -3x + 12
 y = -3/2(x) + 6 ; slope = -3/2

5x - 6y = 8
6y = 4x - 8
  y = 2/3(x) - 4/3; slope is 2/3

slope is opposite and reciprocal, so the equals are perpendicular

6)
3x + y = 5
y = -3x + 5; slope = -3

6x + 2y = -15
2y = -6x - 15 
y = -3x - 7.5; slope = -3

both have slope = -3 so equations are parallel

You might be interested in
For y = 6/x² estimate the value of 6/(4.03)².​
Aleks [24]
=ligma baalls so that I can tape this d to your fore head so you can cd’s nuts
6 0
3 years ago
Between 20 and 28 students signed up for the chess club. The students could not be divided exactly into groups of 2,3,4 or 5. Ho
Artemon [7]
23

Those are not the answer: 
1) 20 - can be divided by 2
2) 21 - can be divided by 3
3) 22 - can be divided by 2
4) 24 - can be divided by 2 and 4.
5) 25 - can be divided by 5
6) 26 - can be divided by 2
7) 27 - can be divided by 3
8) 28 - can be divided by 2 and 4
8 0
3 years ago
An open-top rectangular box with square base is to be made from 100 square feet of material, as shown.
-Dominant- [34]

The largest possible volume of the given box is; 96.28 ft³

<h3>How to maximize volume of a box?</h3>

Let b be the length and the width of the base (length and width are the same since the base is square).

Let h be the height of the box.

The surface area of the box is;

S = b² + 4bh

We are given S = 100 ft². Thus;

b² + 4bh = 100

h = (100 - b²)/4b

Volume of the box in terms of b will be;

V(b) = b²h = b² * (100 - b²)/4b

V(b) = 25b - b³/4

The volume is maximum when dV/db = 0. Thus;

dV/db = 25 - 3b²/4

25 - 3b²/4 = 0

√(100/3) = b

b = 5.77 ft

Thus;

h = (100 - (√(100/3)²)/4(5.77)

h = 2.8885 ft

Thus;

Largest volume = [√(100/3)]² * 2.8885

Largest Volume = 96.28 ft³

Read more about Maximizing Volume at; brainly.com/question/1869299

#SPJ1

4 0
2 years ago
Rewrite the function by completing the square f(x)=x^2-4x-26
leonid [27]

Answer:

(x - 2)² - 30

Step-by-step explanation:

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 4x

f(x) = x² + 2(- 2)x + 4 - 4 - 26 = (x - 2)² - 30

8 0
3 years ago
There are 100 bacteria in a jar. Every day, the number of bacteria increases 25%. In approximately how many days will there be 5
algol [13]

Use compound interest formula

\\ \rm\Rrightarrow P(1+r/100)^t=500

\\ \rm\Rrightarrow 100(1+0.25)^t=500

\\ \rm\Rrightarrow (1.25)^t=5

\\ \rm\Rrightarrow log(1.25)^t=log5

\\ \rm\Rrightarrow tlog1.25=log5

\\ \rm\Rrightarrow t(0.097)=0.3

\\ \rm\Rrightarrow t=3.3\approx 3

Option A

5 0
2 years ago
Read 2 more answers
Other questions:
  • What do you call a fraction in which the only common factor of the numerator and denominator is 1? A) complex form B) compound f
    12·1 answer
  • 1) Alexandra has $200 invested in the stock market. Her broker predicts that this investment will
    6·1 answer
  • Value of 0.1 in 5.17
    7·1 answer
  • A graph of f(x) = 10x2 – 11x – 6 is shown on the coordinate grid. What are the zeros of f(x)?
    11·1 answer
  • Someone plz help meeee
    7·2 answers
  • (PLEASE HELP GIVING BRAINILEST)
    13·1 answer
  • Mr. Evans is in charge of bringing soda for a party at his work. The store is selling 3 packs for $10. If he needs to bring 9 pa
    5·2 answers
  • Help me with this, please
    14·2 answers
  • 100 POINTS!!!! PLEASE HELP WITH THIS :(( I WILL GIVE YOU A GOOD RATING/MARK YOU BRAINLIEST
    12·1 answer
  • Leonard has built a crate for his car. The crate measures (x+5) ft by (x+1) fr by (2x+3) ft. Write an expression that represents
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!