Here ya go!!! this should be correct
Answer:
Nothing new about leading coefficient. Definition says it can't be zero. It can always be made equal to one by dividing through.
Constant term cannot be zero unless a root is zero.
Step-by-step explanation:
x-3/4 = 0 has root 3/4 constant term -3/4
(x-3/4)(x-b) = 0 has roots 3/4 and b, constant term 3b/4 which is zero only if b is zero.
(x-3/4)(x-b)(x-c) = 0 has roots 3/4, b, c, constant term -3bc/4 which is zero only if b or c is zero.
Etc. ...
Answer:
17.65693585 = r
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
23047 = 4/3 (3.14) r^3
23047 = 4.1866666666 r^3
Divide by 4.186666 on each side
23047/4.18666666 = 4.1866666666/4.18666666 *r^3
5504.856688 = r^3
Take the cubed root on each side
(5504.856688)^1/3 = r^3^(1/3)
17.65693585 = r
Answer:
A(2,2)
Step-by-step explanation:
Let the vertex A has coordinates 
Vectors AB and AB' are perpendicular, then

Vectors AC and AC' are perpendicular, then

Now, solve the system of two equations:

Subtract these two equations:

Substitute it into the first equation:

Then

Rotation by 90° counterclockwise about A(2,2) gives image points B' and C' (see attached diagram)
X = measure of angle 1
y = measure of angle 2
z = measure of angle 3
w = measure of angle 4
Focus on the bottom triangle. The three angles add to 180 degrees
(angle 2) + (angle 3) + 116 = 180
y+z+116 = 180
y+z= 180-116
y+z= 64
Since we have the bottom triangle as isosceles, this means that y = z, so
y+z = 64
y+y = 64
2y = 64
y = 64/2
y = 32
making z = 32 as well
Similarly, angle 1 and angle 4 are 32 degrees because the 116 angle is opposite the top left-most angle, and congruent to this angle. In other words, the bottom triangle is a mirror image of the top triangle.
The figure is a rhombus because all four sides are the same length (as shown by the tickmarks)
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Answer:
This figure is a rhombus
All four angles (angle 1 through angle 4) are the same measure. They are each 32 degrees