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Daniel [21]
3 years ago
12

Which graph represents the solution of the system {x^2+y^2=4 X-y=1?

Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
6 0

Answer:

See attached picture.

Step-by-step explanation:

Graph the line using a y-intercept -1 and slope 1.

Graph the equation with vertex (0,0) and radius 2.

Leno4ka [110]3 years ago
4 0

Answer with explanation:

The two system of equation , one of which is a circle and another is line

 x²+y²=4

x -y=1

has either no intersection point, that is the  line and circle will not intersect.

Has one point of intersection, which will be tangent to the circle.

Third , the line will cut the circle at two points,that is there are two points of intersection of line and circle.

Plotting the graph of circle and line , found that line will cut circle at two distinct points.

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The purchase price of a camcorder is $904 , what is the total price if the sales tax rate is 8.5%
sergejj [24]
980.84 should be the answer
4 0
3 years ago
The graph of the function f(x) = –(x + 1)2 is shown. Use the drop-down menus to describe the key aspects of the function. The ve
eimsori [14]

The graph of the function f(x) = -(x+1)^2 shows that the domain of the function f(x) = -(x+1)² is: -∞ < x < ∞. The range of the function is f(x) ≤ 0.

<h3>What is the graph of a function?</h3>

The graph of a function is the arrangement of all ordered pairs of the function. Typically, they are expressed as points in a cartesian coordinate system. The graph of f is the collection of all ordered pairings (x, f(x)) such that x lies inside the domain of f.

The graph of a function might similarly be defined as the graph of the equation y = f(x). As a result, the graph of a function is a subset of the graph of an equation.

From the given information: the graph of the function f(x) = -(x+1)² can be determined if the domain, the range, and the vertex of the function are known.

  • The domain of the function f(x) = -(x+1)² is: -∞ < x < ∞
  • The range of the function is f(x) ≤ 0
  • The x-intercepts and the y-intercepts are (-1,0) and (0, -1) respectively
  • The vertex is maximum at (-1,0)

Since the parabola curve from the graph shows that the graph is facing down, then the function is negative and decreasing.

Learn more about the graph of a function here:

brainly.com/question/24696306

#SPJ1

8 0
1 year ago
Please EXPLAIN how to get this answer so I can do it with other problems. A straight answer would be great, but I have to do abo
OLEGan [10]

Answer:

PQ = 3.58, and RQ = 10.4

Step-by-step explanation:

We are given the hypotenuse of the triangle, and an angle. Use sin and cos to solve.  

Hypotenuse = 11,

Opposite side is PQ

Adjacent side is RQ

x = 19

Sin x  = (opposite side)/(hypotenuse)

Cos x = (adjacent side)/(hypotenuse)

For PQ, this is the side opposite to the angle, so use sin,

Sin 19 = x/11

   11(Sin 19) = x

        3.58 = x        (rounded to the nearest hundredth)            

For RQ, this is the side adjacent to the angle, so use cos,

Cos 19 = x/11

   11(Cos 19) = x

        10.4 = x        (rounded to the nearest hundredth)        

6 0
3 years ago
An athlete eats 0.4kg of protein per week while training. How much protein will she eat during 6 weeks of training?
kolezko [41]
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7 0
3 years ago
Solve 6 sin((π/5)x)=5 for the four smallest positive solutions
cupoosta [38]

Answer:

1.568, 3.432, 11.568, 13.432

Step-by-step explanation:

Divide equation 6\sin\left(\dfrac{\pi }{5}x\right)=5 by 6:

\sin\left(\dfrac{\pi }{5}x\right)=\dfrac{5}{6}.

Then

\dfrac{\pi }{5}x=(-1)^k\arcsin\left(\dfrac{5}{6}\right)+\pi k,\ k\in Z,

x=(-1)^k\dfrac{5}{\pi }\arcsin\left(\dfrac{5}{6}\right)+5k,\ k\in Z.

Since \arcsin\left(\dfrac{5}{6}\right)\approx 56^{\circ}\approx \dfrac{\pi }{3.2},

four smallest positive solutions are

1. \dfrac{5}{3.2}\approx 1.568,\ k=0;

2. \dfrac{-5}{3.2}+5\approx 3.432,\ k=1;

3. \dfrac{5}{3.2}+10\approx 11.568,\ k=2;

4. \dfrac{-5}{3.2}+15\approx 13.432,\ k=3.

3 0
3 years ago
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