Answer:
6 units
Step-by-step explanation:
Remember the formula for the area of a rectangle: A = lw
What we know:
A=48
w = l-2
Substitute A for 48 and w for l-2 into the equation
A = lw
48 = l(l-2) Use the distributive property. Multiply over the brackets.
48 = l² - 2l
Rearrange the equation to standard form (0 = ax² + bx + c) to use quadratic formula.
0 = l² - 2l - 48
a = 1 ; b = -2 ; c = -48 State the variables for the quadratic formula
Substitute a, b and c to find the length:
Simplify
Split the equation at the ± for adding and subtracting. Then decide which answer is correct, or if both of them are possible answers.
This is "inadmissable", or impossible because the length can't be a negative value.
Length of the rectangle
Use the formula for the area of a rectangle
Substitute the length and area, then isolate "w" for the width
A = lw
48 = (8)w
48/8 = w
w = 6
Therefore the length of the rectangle is 6 units.
So, the question is 63 is 30% of what number?
That can translate to the equation
63 = 30% · x or 63 = 0.3x
Divide by 0.3 and you get x = 210.
There are 210 students in band.
Answer: 3) Not factorable
We cannot use the difference of squares method because we don't have a subtraction going on (ie "difference") and we don't have two perfect squares. The value 70 is not a perfect square.
We cannot factor out a GCF since the GCF here is 1, and that doesn't really affect things. Choice 4 is also not applicable because we don't have a trinomial. A trinomial has three terms.
Answer: scalene, right
Step-by-step explanation:
None of the side lengths of the triangle are equal, so the triangle is scalene.
This triangle also has a right angle, so it is a right triangle.
