Complete the square
first isolate x terms
y=(x^2-4x)-9
complete square inside (take 1/2 of square of b )
-4/2=-2, (-2)^2=4
add 4-4 inside
y=(x^2-4x+4-4)-9
complete the square
y=((x-2)^2-4)-9
y=(x-2)^2-4-9
y=(x-2)^2-13
Answer:
b = 33m is the answer
Step-by-step explanation:
a = 44m
b = ?
c = 55m
According to the Pythagoras theorem,
a² + b² = c²
44² + b² = 55²
1936 + b² = 3025
b² = 3025 - 1936
b² = 1089
b = 33m
∴ b = 33m is the length of the missing leg.
Answer:
y = mx + 1/2
Step-by-step explanation:
(x,y)
- Plot each point on a graph
- The line should go from the bottom left (-6,-10) to the top right (1,4)
- Count how many spaces are on the y-axis from -6 to 1 for numerator
- Count how many spaces are on the x-axis from -10 to 4 for denominator
- Positive slope
- Slope = 7/14
- Simplify to 1/2
Answer:
V = 9.828 * 10^7 mm^3
a= 9.828 b = 7
9,827,000 mm^3
Step-by-step explanation:
The volume of a rectangular prism is
V = l*w*h
V = 1.2 *10^3 * 3.9*10^2 * 2.1*10^2
We multiply the numbers out front and add the exponents (the powers of 10)
V = (1.2*3.9*2.1) * 10^(3+2+2)
V = 9.828 * 10^7 mm^3
Rewriting this in standard form means moving the decimal 7 places to the left. Since there is not enough places add zeros
9,827,000 mm^3
