Answer:
In the given figure, line segment is constructed on the triangle parallel to line segment . ... This line can then be considered as a transversal of these parallel lines. Angle and angle are therefore corresponding angles. And as they're corresponding, this means that they're equal.
Let the lengths of the sides of the rectangle be x and y. Then A(Area) = xy and 2(x+y)=300. You can use substitution to make one equation that gives A in terms of either x or y instead of both.
2(x+y) = 300
x+y = 150
y = 150-x
A=x(150-x) <--(substitution)
The resulting equation is a quadratic equation that is concave down, so it has an absolute maximum. The x value of this maximum is going to be halfway between the zeroes of the function. The zeroes of the function can be found by setting A equal to 0:
0=x(150-x)
x=0, 150
So halfway between the zeroes is 75. Plug this into the quadratic equation to find the maximum area.
A=75(150-75)
A=75*75
A=5625
So the maximum area that can be enclosed is 5625 square feet.
Answer: There is linear relationship between the number of days that Kyla exercise in the total minutes that she exercises.
The independent variable is 'd' and m is the dependent variable which depends on the number of days she exercise.
The linear equation for the situation is given by
Step-by-step explanation:
Let d be the number of days that Kyla exercises, and let m represent the total numbers of minutes she exercise.
Kyla spends 60 Minutes of each day exercising which is constant .
Then the total numbers of minutes she exercise(m) in d days is given by
which is the linear equation.
The relationship between the number of days that Kyla exercise in the total minutes that she exercises is linear, where d is the independent variable, and m is the dependent variable which depends on the number of days she exercise.
[ad d increases m increases by rate of 60 minutes per day]
The linear equation for the situation is given by
Answer:
224 with a remainder of 9
Combine like terms. remember to keep the signs.
5x² - 2x² = 3x²
3x - (-6x) = 3x + 6x = 9x
4 - (-3) = 7
3x² + 9x + 7 = Ax² + Bx + C
9 = B, because 9 is in the B's place
9 is your answer
hope this helps
