Step-by-step explanation:
x² + 4x - 9
= (x + 2)² - 13
a = 2, b = -13.
Answer:
V≈184.31
Step-by-step explanation:
V=πr2h
3=π·42·11
3≈184.30677
Answer:
Step-by-step explanation:There are other kinds of numbers that can be graphed on the number line, too. ... which are natural numbers and which are whole numbers is to think of a “hole,” which can be represented by 0. ... Notice that distance is always positive or 0.
3x2 is six. If you do that across, you would get 6/6 for both. 6/6 - 6/6 is how much?
Answer:
System of equations:
L = 5W + 7
2W + 2L = P
L = 62 cm
W = 11 cm
Step-by-step explanation:
Given the measurements and key words/phrases in the problem, we can set up two different equations that can be used to find both variables, length and width, of the rectangle.
The formula for perimeter of a rectangle is: 2W + 2L = P, where W = width and L = length. We also know that the L is '7 more than five times its width'. This can be written as: L = 5W + 7. Using this expression for the value of 'L', we can use the formula for perimeter and solve for width:
2W + 2(5W + 7) = 146
Distribute: 2W + 10W + 14 = 146
Combine like terms: 12W + 14 = 146
Subtract 14 from both sides: 12W + 14 - 14 = 146 - 14 or 12W = 132
Divide 12 by both sides: 12W/12 = 132/12 or W = 11
Put '11' in for W in the equation for 'L': L = 5(11) + 7 or L = 55 + 7 = 62.
