All categories

4 years ago

Which graph correctly solves the system of equations below? x2 + y2 = 4 y = x + 2

Mathematics

2 answers:

Maru [420]4 years ago

6 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$x^{2} +y^{2}=4$ -----> equation A

This is the equation of a circle centered at the origin with radius equal to $2\ units$

$y=x+2$ -----> equation B

This is a linear equation

we know that

The solution of the system of equations is the intersection points both graphs

using a graphing tool

see the attached figure

the solution are the points $(-2,0)$ and $(0,2)$

melamori03 [73]4 years ago

5 0

This graph correctly finds the solutions to be
.. (x, y) = (0, 2) or (-2, 0)

You might be interested in

60% of the students are girls.Boys are 12. how many students are there?

Nonamiya [84]

If 40% are boy and there are 12 boys
40% of girls would be 12 and another 20% is 6 so
You add 12+12+6=30 students total

3 0

3 years ago

⚠️⚠️⚠️⚠️BREAKING NEWS A METEOR IS COMING DIRECTLY TOWARDS EARTH THEY ONLY WAY TO STOP THIS METEOR IS BY ANSWERING THIS QUESTION

8090 [49]

The relation {(-1 , 3), (4 , 2), (-1 , 5)} is not a function ⇒ 2nd

Step-by-step explanation:

Let us revise the meaning of relation and function

The relation is a set of inputs and outputs
A function is a relation with one output for each input, that means every x has only one y
Ex: {(2 , 3) , (-1 , -2) , (3 , 2)} is a function because 2 has only 3 , -1 has only -2 and 3 has only 2, {(1 , 7) , (2 , -4) , (1 , -3)} is not a function because 1 has 7 and -3

The relation is a function if and only if every x has only one y

In {(0 , 0), (1 , 0), (2 , 0)}

∵ x = 0 has y = 0

∵ x = 1 has y = 0

∵ x = 2 has y = 0

∴ Every x has only one y

∴ {(0 , 0), (1 , 0), (2 , 0)} is a function

In {(-1 , 3), (4 , 2), (-1 , 5)}

∵ x = -1 has y = 3

∵ x = 4 has y = 2

∵ x = -1 has y = 5

∴ x = -1 has y = 3 and 5

∴ Not every x has only one y

∴ {(-1 , 3), (4 , 2), (-1 , 5)} is not a function

In {(1 , 2), (3 , -5), (-1 , 7)}

∵ x = 1 has y = 2

∵ x = 3 has y = -5

∵ x = -1 has y = 7

∴ Every x has only one y

∴ {(1 , 2), (3 , -5), (-1 , 7)} is a function

In {(7 , -1), (3 , -2), (5 , -2)}

∵ x = 7 has y = -1

∵ x = 3 has y = -2

∵ x = 5 has y = -2

∴ Every x has only one y

∴ {(7 , -1), (3 , -2), (5 , -2)} is a function

The relation {(-1 , 3), (4 , 2), (-1 , 5)} is not a function

Learn more:

You can learn more about the relations and functions in brainly.com/question/10570041

#LearnwithBrainly

6 0

3 years ago

Hello!

Gnesinka [82]

Answer:

A. 2 < x < 10

Step-by-step explanation:

With two congruent sides the third side is greater against a greater angle.

34 < 36, therefore:

3x - 6 < 24
3x < 30
x < 10

And, the angle should have a positive value:

3x - 6 > 0
3x > 6
x > 2

Combined, we get:

2 < x < 10

8 0

3 years ago

Find the y-coordinate of the y-intercept of the polynomial function defined below. f(x)=2(3x+4)(x^2+2)

Salsk061 [2.6K]

Answer:

Step-by-step explanation:

The best way to find out the answer to your question is to graph the cubic. As you can see, the y intercept is (0,16).

How was this obtained. notice that if x = 0 then

f(0) = 2(3*0+4)(0^2 + 2)

f(0) = 2(4)(2)

f(0) = 16 just as the graph tells us.

3 0

3 years ago

Penny has some money. After

kati45 [8]

Answer:

$32

Step-by-step explanation:

The money she spent was $5 on the kitten and if you add $5 to the remaining $27 that is $32

4 0

3 years ago

Read 2 more answers