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
Svet_ta [14]
3 years ago
13

The equation -2y = 5x + 8 represents a line.

Mathematics
1 answer:
sergiy2304 [10]3 years ago
6 0

Answer:

Lines parallel to the given equation will have a slope of -⁵/2 and lines perpendicular to the given line will have a slope of ⅖.

Step-by-step explanation:

Given the equation of a line, -2y = 5x + 8, first rewrite the equation in the slope-intercept form, before determining the slope of the lines that will be parallel to it, and slope of lines that will be perpendicular to it.

-2y = 5x + 8

Divide both sides by -2

y = 5x/-2 + 8/2

y = -⁵/2x + 4

The slope of the line of this equation is -⁵/2.

Linea that will be parallel to the given equation will have the same slope, while all lines that will be perpendicular to it will be a negative reciprocal of the slope of the equation.

Therefore:

Lines parallel to the given equation will have a slope of -⁵/2 and lines perpendicular to the given line will have a slope of ⅖.

You might be interested in
Velida took out a 5/1 variable-rate mortgage for $150,000. The interest rate
Afina-wow [57]

Answer:

B

Step-by-step explanation:

The amortization period in months is:

30 years * 12 = 360 months

The monthly interest rate would be 5.25%/12 = 0.004375

The payment for monthly mortgage formula would be:

E=\frac{C*r}{1-(1+r)^{-n}}

Where

E is the monthly mortgage payment

C is the cost of mortgage, cost is $150,000

r is the monthly rate of interest, which is 0.004375

n is the period, in months, which is 360

Substituting, we get our answer:

E=\frac{C*r}{1-(1+r)^{-n}}\\E=\frac{150,000*0.004375}{1-(1+0.004375)^{-360}}\\E=\frac{656.25}{1-(1.004375)^{-360}}\\E=\frac{656.25}{0.7923}\\E=828.31

So, the correct answer is B

3 0
3 years ago
A card is drawn at random out of a​ well-shuffled deck of 52 cards. Find the probability of drawing a six comma seven comma or e
Rina8888 [55]

Answer: \frac{3}{13}, or ~23.07%

Step-by-step explanation:

There are 52 cards in your average deck.

For this question, you need the numbers of the cards in the deck. There are four of each number from 2 through 10, and four aces, jacks, queens, and kings.

Considering there are four 6s, four 7s, and four 8s, there are 12 cards that fit the description.

Divide 12 by the total number of cards in the deck, 52, to get your answer.

8 0
3 years ago
PLS HELP ILL GIVE BRAINLEIST !!!!!!
lana66690 [7]

Answer:

y=3x+2

Step-by-step explanation:

For a the equation is y=3x+2 because he makes 3 every hour (3x) and he already has 2 (+2).

For the graph you replace x with any number and solve. Plot the point.

Then you do it again but with a different x.

Finally you draw a straight line trough the 2 points.

6 0
3 years ago
Find the dimensions of a rectangle with perimeter 112 m whose area is as large as possible. step 1 if a rectangle has dimensions
Veronika [31]


Please use the solution below:
Let P = perimeter, A = area
As provided above, a = xy and 
We know that the formula to solve for the perimeter of a rectangle is P = 2x + 2y. Using the given 112m, we can solve the perimeter using the formula:
112 = 2x + 2y
56 = x + y

x = 56-y or y = 56-x
Let's solve the perimeter in terms of y using the formula below:
A = (56-y)(y)
Find the derivative of A = 56-y^2 to get the value of y.
dA/dy = 56-2y = 0
y = 56/2
y = 28
To find X, substitute the value of y in the equation x = 56 - y. 
x = 56 - 28
Therefore, x = 28.
We can conclude that the figure is not a rectangle but a square.
7 0
3 years ago
For a normal distribution what percentage of data falls within one standard deviation of the mean
3241004551 [841]

Answer:

For a normal distribution 68% of data falls within one standard deviation from mean on both sides of mean

Step-by-step explanation:

A normal distribution's graph is a bell shaped curve that is completely described by its mean and standard deviation. Standard deviation is measured in terms of distance from mean.

34% of data is covered in one standard deviation from mean on one side.

Therefore, for a normal distribution 68% of data falls within one standard deviation from mean on both sides of mean ..

8 0
3 years ago
Other questions:
  • Help please which statement is true about water molecules? question 1 options: the oxygen atom has a negative charge. the hydrog
    12·1 answer
  • PLEASE HELP!!!! NEED HELP!!!!
    7·1 answer
  • What is the value of x in -4(x+3)=8<br><br> please help me quickly !!
    13·1 answer
  • 2x^134 -7x^45+x^9-4/x+1
    6·1 answer
  • 2x - 1y = 6<br> -3y = -6x + 18<br><br> please explain how you got your answer thank you :)
    5·2 answers
  • The numbers X, Y, and Z are such that y= KX and Z equals K^2x FK equals 1.5, select a possible values for the set of numbers {x,
    8·1 answer
  • Lena won a charity raffle. Her prize will be randomly selected from the 9 prizes shown below. The prizes include 7 rings, 1 came
    9·1 answer
  • I can't figure out the answer
    10·2 answers
  • Which of the following term describes √36 ? *
    14·1 answer
  • Y= -4x - 7<br><br> Please help
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!