Answer:
Its C because it passes through the origin. I learned about this.
Answer:
x=24
Step-by-step explanation:
x + 0.07x = 25.68
1.07 x = 25.68
x = 24
For question 1, you need to look at the number and decide on the closest square numbers.
For this example, the two closest square numbers to 160 are 144 (12²) and 169 (13²).
Therefore, we can say that the square root of 160 must be between 12 and 13.
For question 2, when we find the area of a 4-sided shape, we have to multiply the 2 adjacent sides. In this case, as the shape is a square when we multiply the 2 sides it is this same as squaring 1 side. This means that when we find the side from an area of a square you take the square root.
We found in question 1 that 13² is 169, therefore the square root is 13 and the sides must each be 13 ft long.
Answer:
Length = 6
Width = 5.5
Step-by-step explanation:
Let's use the variable x to represent the width:
x = width
The question says that the length of the rectangle is "5 ft less than double the width". This length can be represented like this:
2x - 5 = length
To find the area of a rectangle, you multiply the width and length, so we are going to write an equation where we multiply the width and length and set it equal to 33 ft^2, which is the area:
(x)(2x - 5) = 33
Now use basic algebra to solve for x:
2x^2 - 5x = 33
2x^2 - 5x - 33 = 0
2x^2 + 6x - 11x - 33 = 0
(2x^2 + 6x) + (-11x - 33) = 0
2x(x + 3) - 11(x + 3) = 0
(2x - 11) (x + 3) = 0
x = 11/2, -3
x either equals 11/2 or -3. However, remember that x represents the width, and you can't have a negative number for a width, so x = 11/2 or 5.5.
Now plug in 5.5 to the length expression and simplify:
2(5.5) - 5
11 - 5 = 6
The length is 6 and the width is 5.5.
Hope this helps (●'◡'●)
