y+z=10
x+z=8
x+y=12
(y+z)-(x+z)=10-8
y-x=2
y-x=2
y+x=12
solve simultaneously
x=5, y=7
then substitute to get z=3
hence xyz=573
Given:
The quadratic equation is:


To find:
The value of k and
.
Solution:
We have,
...(i)
Putting
, we get




Putting
in (i), we get

Splitting the middle term, we get




Here,
and
.
Therefore, the required values are
and
.
Answer:
54 sq units
Step-by-step explanation:
The triangle at the top (FAB) has a base of 10 and a height of 3. Area of triangle is 1/2bh so 1/2(10 * 3) = 1/2 * 30 = 15 sq units
If you cut off the triangle you have a trapezoid, EBCD. A trapezoid is (b1 + b2)/2 * h, so (6 + 7)/2 * 6 = 13/2 * 6 = 6.5 * 6 = 39 sq units
Add them together: 15 + 39 = 54 sq units
Answer:
1,395 sq feet
Step-by-step explanation:
lets start with the area of the green cube b×h. 15×15=225. 225×5= 1125. I got five because there are 5 visible faces on the cube. to find the area of a triangle you use the formula 1/2 bh 9×15= 135 multiply that by 2 instead of one half because you have four triangular faces. add your areas together and you get 1395