All categories

2 years ago

Given two equations of lines : y=-2x+4 and -2y= 4x-8 how do the lines compare

Mathematics

2 answers:

Gelneren [198K]2 years ago

8 0

Answer:

The lines are the same if you divide both sides by -2 for the equation:-2y=4x-8 to get a slope formula. As you can see, after doing that, the equations are the same.

Step-by-step explanation:

y=-2x+4

-2y=4x-8

-2y/-2=(4x-8)/2

y=-2x+4

dem82 [27]2 years ago

5 0

Answer:

They are the same line

Step-by-step explanation:

When you have equations of line and want to compare them, make sure the y is isolated (by itself)

the second equation -2y = 4x-8 is not isolated

To isolate, divide both sides by -2

$\frac{-2y}{-2} =y$

$\frac{4x-8}{-2} = -2x+4$

Now you have y=-2x+4, which is the same equation as the first!

(remember that if you divide a negative number by a negative number, you will get a positive one)

You might be interested in

Find the expected value and the variance of the number of times one must throw a die until the outcome 1 has occurred 5 times.

Kazeer [188]

Answer: E(X) = 30; Var[X] = 180

Step-by-step explanation: This is a Bernoulli Experiment, i.e., the experiment is repeated a fixed number of times, the trials are independents, the only two outcomes are "success" or "failure" and the probability of success remains the same, So, to calculate Expected Value, which is the mean, in these conditions:

$E(X)=\frac{r}{p}$

r is number of times it is repeated

p is probability it happens

Solving:

$E(X)=\frac{5}{1/6}$

E(X) = 30

Variance is given by:

$Var[X]=\frac{r(1-p)}{p^{2}}$

$Var[X]=\frac{5(1-1/6)}{(1/6)^{2}}$

$Var[X]=5.\frac{5}{6}.6^{2}$

Var[X] = 180

Expected Value and Variance of the number of times one must throw a die until 1 happens 5 times are 30 and 180, respectively.

4 0

3 years ago

Eva is working two summer jobs, making $16 per hour tutoring and $8 per hour clearing tables. Last week Eva worked 3 times as ma

DanielleElmas [232]

Answer:

48 and 32 6 hours clearing tables and 2 hours tutoring

Step-by-step explanation:

we can rewrite this as a fraction. we will use 1/10s because 80 can be divided by 8 which is in the problem. we then have to find out what two numbers add up to 8 but one is 3 times the other. 6 and 2 fit into this problem so we plug it into the equation and we write it as this 6x+4x=80 where x is 8. we get 48 and 32.

3 0

3 years ago

How to find the x value given the y value on a ti 84?

OlgaM077 [116]