In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.
Answer:
Step-by-step explanation:
7) The formula for determining the area of a parallelogram is expressed as
Area = base × height.
Length of base = Area/height
Therefore,
Length of base = 7/2 = 3.5 feet
8) The formula for determining the area of a trapezoid is expressed as
Area = 1/2(a + b)h
Where
a and b are the length of the bases
h is the height. Therefore
21 = 1/2(2 + 4)h
21 = 3h
h = 21/3 = 7 inches
9) Area = base × height.
Height = Area/Length of base
Height = 28/14 = 2 inches
10) a and b are 10 inches each.
Area = 1/2(a + b)h
Therefore,
35 = 1/2(10 + 10)h
35 = 10h
h = 35/10
h = 3 inches
Answer:
The value of x = 513
Step-by-step explanation:
Let x, y, and z be the three numbers
Given
Assuming x be the number which is 50% more than the sum of the other two numbers.
i.e.
(150)% of (y+z) = 1.5(y+z)
y + z = x/1.5
As we know that
substituting y + z = x / 1.5 in the equation
Multiply both sides by 1.5
Divide both sides by 2.5
Therefore, the value of x = 513
Answer:
B. y = -5/2x +3/2
Step-by-step explanation:
5x + 2y = 3
We want to get this in the form
y = mx +b where m is the slope and b is the y intercept
Subtract 5x from each side
5x -5x+ 2y =-5x+ 3
2y = -5x+3
Divide by 2
2y/2 = -5x/2 +3/2
y = -5/2 x +3/2
I = 8.
k = 4
j = sqrt(8^2 + 4^2) = 8.944.
