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3 years ago

What is the equation of this line?

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

6 0

Answer: in slope intercept form it is y=1/2x-3

Step-by-step explanation:

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Please help I asked this question earlier and nobody answered! :(

tatiyna

Answer:

Step-by-step explanation:

One way to tell is to put both equations into slope-intercept form. That form is usually written $y=mx+b$ where m is the slope and b is the y-intercept.

Solve the first equation for y.

$6x+2y=5 \\ 2y=-6x+5 \\ y=-3x+5/2$

The slope of this line is -3, and its y-intercept is 5/2.

Solve the second equation for y.

$y+3x=2\\y=-3x+2$

The slope of this line is -3 and its y-intercept is 2.

The lines are parallel because they have the same slope and different y-intercepts. There is no solution to the system.

8 0

3 years ago

If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3

horrorfan [7]

Answer: The correct option is (B) 24 : 25.

Step-by-step explanation: Given that the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2 : 3.

We are to find the ratio of the area of R to the area of S.

Let 2x, 3x be the sides of rectangle R and y be the side of square S.

Then, according to the given information, we have

$\textup{Perimeter of rectangle R}=\textup{Perimeter of square S}\\\\\Rightarrow2(2x+3x)=2(y+y)\\\\\Rightarrow 5x=2y\\\\\Rightarrow \dfrac{x}{y}=\dfrac{2}{5}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Therefore, the ratio of the area of R to the area of S is

$\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.$

Thus, the required ratio of the area of R to the area of S is 24 : 25.

Option (B) is CORRECT.

6 0

3 years ago

Suppose that Prolog facts are used to define the pred- icates mother(M, Y) and father(F, X), which represent that M is the mothe

VikaD [51]

Answer and Explanation:

The Prolog rule expresses that logical implication (:-) describes the relationship between facts.

Prolog expressions are containing truth-functional symbols, which have the same intervention as in predicate calculus.

For example:

English Predicate calculus prolog

and ^ ,

or v ;

By using information, given in the question,

We can make prolog:

Grandfather(X, Y) :-mother(M,Y), father(X,M); father (F, Y), father(X,F)

Prolog (:- ) means define,

Prolog (,) represents a conjunction

And

Prolog (;) represent a disjunction

7 0

3 years ago

BRAINLIEST ASAP! PLEASE HELP ME :) thxx

olga nikolaevna [1]

Answer:

2nd point

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Two fair six-sided dice are rolled. What is the probability that the sum of the numbers rolled is either 7 or 11?

Llana [10]

There is 36 ways the dice come up, 6 for each dice. thats 8/36 or 2/9. :)

8 0

3 years ago