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Irina-Kira [14]
3 years ago
8

What’s the slope of 4x+5y= -20

Mathematics
2 answers:
Morgarella [4.7K]3 years ago
6 0

Answer: y = -4/5x-4

Step-by-step explanation:

You start with 4x+5y=-20

Isolate y by moving 4x to the other side, now your problem should look like:

5y=-4x-20

To get y by itself, divide both sides by 5, (don't forget to divide -20 by 5 too)

y=-4/5x-4

Murrr4er [49]3 years ago
4 0

Answer:

-4/5

Step-by-step explanation:

Lets put the equation in slope intercept form

4x+5y = -20

Subtract 4x from each side

4x-4x+5y = -4x-20

5y = -4x-20

Divide each side by 5

5y/5 = -4x/5 -20/5

y = -4/5 x -4

The equation is in the form y = mx+b  where m is the slope and b is the y intercept

the slope is -4/5  and the y intercept is -4

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The sum of two numbers is 53 . The larger number is 9 more than the smaller number. What are the numbers?
Illusion [34]

x + y = 53

x -y = 9  Adding both equations

2x = 62

x = 31 y = 22


6 0
2 years ago
第 5 个问题 a multiple choice exam has 10 questions. each question has 3 possible answers, of which one is correct. a student knows
tatuchka [14]

The chances that the student was merely guessing is 1/3.

Bayes Theorem determines the conditional probability of an event A given that event B has already occurred.

denoted by

P(A/B)=\frac{P(A)*P(B/A)}{P(B)}

let A be the  event that the student knows the answer .

B be  the  event that the student does not knows the answer .

and

E be the event he gets answer correct .

According to the given question

P(A)=\frac{4}{10} \\\\ P(B)=1-\frac{4}{10} =\frac{6}{10}

Probability that the answer is correct ,given that he knows the answer is

P(E/A)=1

Probability that the answer is correct ,given that he guesses it is

P(E/B)=\frac{1}{3}   [as the MCQ has 3 options and only one is correct]

We need to find the probability that he guesses the answer given that it is correct.

Required probability P(B/E)=\frac{P(B)*P(E/B)}{P(A)*P(E/A)+P(B)*P(E/B)}

Substituting the values we get

P(B/E)=\frac{\frac{6}{10} *\frac{1}{3} }{\frac{4}{10} *1+\frac{6}{10} *\frac{1}{3} }

=\frac{6}{30}*\frac{30}{18}  \\ \\ =\frac{6}{18} \\ \\ =\frac{1}{3}

Therefore ,  the chances that the student was merely guessing is 1/3.

Learn more about Probability here brainly.com/question/13140147

#SPJ4

8 0
8 months ago
What is the result when the following code is run? double x = 1; double y = 1; int i = 0; do { y = x / 2; x = x + y; i = i + 1;
Mama L [17]

Answer:

The answer is: 3

Step-by-step explanation:

1. At the begining of the program we start by declairing the variables:

 double x=1, double y=1 and int i=0.

2. The structure do...while is used to defined the loop. x<2.5 is the finalization condition of the loop. i is the counter of the loop.

y=x/2 is the first calculation

x=x+y is the second one. Here is where the values of the variable x changes.

a) for the first iteration, the values of y and x are shown below:

\\\\x=1\\y=1\\y=1/2=0.5\\x=1+0.5=1.5\\i=1

The variable x is minor to 2.5 so the loop will continue computing.

b)   the second iteration, the values of y and x are shown below::

 y=0.5\\x=1.5\\y=\frac{1.5}{2}=0.75\\ x=1.5+0.75=2.25\\i=2

The variable x is still minor to 2.5 so the loop will continue computing.

c) third iteration:

y=0.75\\x=2.25\\y=\frac{2.25}{2} =1.1125\\x=2.25+1.125=3.375\\i=3

The condition x<2.5 is not true so the loop ends.

3. System.out.print(i + " "); displays the value of the variable i wich value is 3.

Therefore the number 3 is display.

6 0
2 years ago
What is the expression in simplest radical form
LiRa [457]

Simplify the radical by breaking up the radicand into a product of known factors.

6\sqrt{14}

8 0
3 years ago
8 cakes cost £4.00 how much does 3 cakes cost?
Gnom [1K]
1.50 pounds.
(dont have pound symbol, only $)
6 0
3 years ago
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