Answer: Quadrant III
Step-by-step explanation:
The slope is negative and the y-intercept is positive.
This means that it is impossible for both x and y to be negative, and thus it does not pass through <u>Quadrant III</u>
assuming is square root of 55:
You can solve the square root and roound to the nearest number:
√55 = 7.41
Since the number after the decimal point is 4, the square root is closest to 7 than to 5.
You can also campare √55 with closest integers that are perfect square:
below 55, the closest perfect square is 49 = 7^2
above 55, the closest perfect square is 64 =8^2
55-49 = 6
64-55 = 10
Since 49 is closest to 55, it's square root is the nearest. (7)
Answer:
4) y = 9
5) x = -1
6) y = -5x − 9
Step-by-step explanation:
4) x = 3 is a vertical line with an x-intercept of (3, 0). It has an undefined slope.
A perpendicular line to that will be y = a, which is a horizontal line with a y-intercept of (0, a) and a slope of 0. Since this line passes through (3, 9), the equation of the line must be y = 9.
5) The y-axis is x = 0. A parallel line that includes the point (-1, -2) is x = -1.
6) Parallel lines have the same slope, so:
y = -5x + b
To find the value of b (the y-intercept), plug in the point (-2, 1):
1 = -5(-2) + b
1 = 10 + b
b = -9
y = -5x − 9
So remember that the area of a circle is A = π * r^2, with r = radius. In this case, the radius is 1.5, and with that info our equation is A = π * 1.5^2 .
For this, all you need to do is solve the exponents, and your answer is A = 2.25π yds^2
There are 1000 milliliters per liter, so...
750 ml x 1 liter/1000 ml =
750/1000 = .75 liters
