Answer:
The sum of the digit of the product is 13
Step-by-step explanation:
Given
Solving (a): The product
Solving (b): The sum of the digits
Answer:
c = 3 c = -1/2
Step-by-step explanation:
(4c-5)^2= 49
Take the square root of each side
sqrt((4c-5)^2)= ±qrt(49)
4c-5 = ±7
Separate into two equations
4c-5 = 7 4c-5 = -7
Add 5 to each side
4c-5+5 = 7+5 4c-5+5 =-7+5
4c =12 4c = -2
Divide by 4
4c/4 = 12/4 4c/4 = -2/4
c = 3 c = -1/2
The above figure can be formed into a cube.
This is for any polyhedron that does not intersect itself. The Euler's formula states that the number of faces plus the number of vertices or corner points less the number of edges is always equal to 2.
Faces + Vertices - Edges = 2
A cube has 6 faces, 8 vertices, and 12 edges.
Euler's formula: 6 + 8 - 12 = 2 ⇒ 14 - 12 = 2 ⇒ 2 = 2
Angle a +angle b = 180 degrees
angle a + angle a + 30 = 180
2*angle a = 150
angle a = 75degrees
angle b = 75+30 = 105 degrees
now, angle b +angle c = 180
so, angle c = 180-105 = 75 degrees
Let's factor the following polynomial to find the roots:
x2-13x + q = 0
Factoring we have:
(x-12.5) * (x + a)
Where,
-12.5 + a = -13
a = -13 + 12.5
a = -0.5
We now look for the coefficient q:
q = -12.5 * a
q = -12.5 * (- 0.5)
q = 6.25
The polynomial will then be:
x2-13x + 6.25 = 0
Its roots are:
x1 = 12.5
x2 = 0.5
Answer:
The other root and the value of the coefficient are:
0.5 and 6.25 (Respectively)
