Answer:
2 acute and 1 right
Step-by-step explanation:
The sum of angles of a triangle is always 180°.
Right angles are 90°, and obtuse angles are more than 90°. If each of the angles in the triangle is more than 0°, there obviously cannot be two angles that measure 90° or more. Just the sum of those two would be 180° or more, and that sum doesn't include the third angle.
So, any triangle can have at most one angle that is 90° or more (right or obtuse). The remaining two angles must be acute for the sum of angles to be 180°.
2 acute and 1 right angle can form a triangle
Answer:
A) x^2 + 2x+ y^2 - 4y + z^2 - 2z - 63 = 0
B) radius = 5
center = (4,-1,-3)
Step-by-step explanation:
A ) Determine the curve in which the sphere intersects the yz-plane
determine the radius ( r ) = √((6-(-1))2+(-2-2)2+(3-1)2) = √69
next the equation of the sphere ( curve in which the sphere intersects the yz-plane )
x^2+2x+y^2-4y+z^2-2z-63 = 0
B) determine the center and radius of the sphere
X^2 + y^2 + z^2 -8x + 2y +6z + 1 = 0
(x-4)2+(y+1)2+(z+3)2 = 25 = 52
radius = 5
center = (4,-1,-3)
Answer:
I believe it is C) decreasing when x > -1
Step-by-step explanation:
If you plot all 3 points on a graph, you will notice that the parabola is facing downwards. This means that on the left side of the vertex, it is increasing (the y-value increases). On the right side of the vertex, it decreases (y-value decreases). Note that "decreasing" refers to the y values.
So, since the vertex's x-value is -1 (we know this from the point (-1, 2)), any x-value greater than -1 will be to the right of the vertex. For example, 0, 1, 2, 3, etc. are all greater x-values than -1, so they are all to the right of -1. Since they are on the right, that means the corresponding-values will be decreasing.
Therefore, when x > -1, the parabola is decreasing.
Answer:
domain is x
range is y
Step-by-step explanation:
Answer is the 3rd picture
hope it helps
