Answer:
The values of x are x = -2 and x= 1.
Step-by-step explanation:
The given equation -x²+4 = x+2 can be written in the form of two functions as
y = -x²+4 which is a function representing parabola and
y = x+2 which is a straight line.
Now we will solve the given equation to find their points of intersection on graph. Their points of intersections will be the answer.
-x²+4 = x+2
-x²+4-x = x+2-x
-x²-x+4 = 2
-x²-x+4-2 = 2-2
-x²-x+2 = 0
Or x²+x-2=0
Now we will factorize the equation.
x²+2x-x-2=0
x(x+2)-1(x+2) = 0
(x+2)(x-1) = 0
x+2 = 0 ⇒x = -2
x-1 = 0 ⇒x = 1
For x = 1, y will be 3
and for x = -2, y will be 0
Now we can see the graph for the given coordinates (-2,0) and (1,3).
Answer:
Yes.
Step-by-step explanation:
What is a rational number?
A whole number, fraction, terminating or recurring decimal.
42.9 = 429/10 which is a fraction.
So it's rational.
1. X/Y = Z
if x = 6, y = 2, then z = 3, not even
if x = 6, y = 3, then z = 2, even
<span>2. Z=XY </span>
so (z)^2 = 2*k (because x*y*z = 2k, where k is an integer)
<span>Sufficient, as if square of an integer is even ,then the integer is even</span>
<h2>
Answer:</h2>
A pyramid is a polyhedron where the base is a polygon and whose lateral faces are all triangles. So a triangular pyramid is a pyramid that has a triangular base. The definition of a solid tells us that this is a three-dimensional shape. The figure below shows a triangular pyramid, so you can see that:
- This triangular pyramid has 4 faces
- The solid has 3 side faces and all are triangles
- The base is also a triangle
- This pyramid has 4 vertices
- It has 6 edges
