Answer:
x = 2
Step-by-step explanation:
Since you didn't attach an image of the graph I'll have to do this the long way and use a strategy called "completing the square" to find the vertex. The x-coordinate of the vertex is the axis of symmetry.
x² - 4x + 6
= (x - 2)² - 4 + 6
= (x - 2)² + 2, therefore the vertex is (2, 2) so the axis of symmetry is x = 2.
Given:
Figures A, B and C.
To find:
The order of the figures and volume of each figure.
Solution:
<u>Figure A:</u>
Length = 10, Width = 2 and Height = 2
Volume of A = length × width × height
= 10 × 2 × 2
Volume of A = 40 cubic units
<u>Figure B:</u>
Length = 3, Width = 3 and Height = 1
Volume of B = length × width × height
= 3 × 3 × 1
Volume of B = 9 cubic units
<u>Figure C:</u>
Length = 6, Width = 3 and Height = 3
Volume of C = length × width × height
= 6 × 3 × 3
Volume of C = 54 cubic units
Order from greatest to least:
54 < 40 < 9
C < A < B
Hence Kurry said the correct answer.
Answer:
The solution is (2,6)
Step-by-step explanation:
Let
x-----> the number of hours to change a fuel injection unit
y-----> the number of hours to change a transmission
we know that
5x+10y=70 -----> equation A
8x+8y=64 -----> equation B
Solve the system of equations by graphing
Remember that the solution of the system of equations is the intersection point both graphs
The solution is the point (2,6)
see the attached figure
3(10g + 6y)
3(10g) +3 (6y)
30g + 18y
option 2
<h3>
Answer: Choice D</h3><h3>
m = n</h3><h3>
b = sqrt(pi)*a</h3>
=====================================================
Explanation:
Each circle has a radius of 'a'. So r = a.
The area of each circle is pi*r^2 = pi*a^2
The area of each square with side length b is b^2
The two stacks have the same volume only when the circle area is equal to the square area, so whenever pi*a^2 = b^2 is true.
Solving for b leads to b = sqrt(pi*a^2) = sqrt(pi)*a
The stacks must also be the same height for the volumes to be the same, so m = n as well.
