472 to the nearest 100 is 500
Answer:
x = -1 ± √6 / 5
Step-by-step explanation:
Solve
+ 2x = 1
move 1 to the left side of the equation by subtracting it from both sides.
+ 2x - 1 = 0
Use the quadratic formula to find the solutions.
-b±
/ 2a
Substitute the values a = 5 , b = 2, and c = -1 into the quadratic formula and solve for x
-2±
/ 2 ⋅ 5
Simplify.
x = -2 ± 2
/ 10
x = -1 ±
/ 5
Exact Form:
x = -1 ±
/ 5
You can use place value to align the numbers together so you can subtract correctly. Match the ones, tenths, and hundredths digits together to subtract.
4.23
2.75
then you can subtract correctly without any mistakes in place value
Answer:
(x - 1)² + (y + 1/2)² = 65/4
Step-by-step explanation:
Given: the endpoints of the diameter are (3, 3) and (-1, -4). a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:
3 - 1
x = -----------
2
and
-1
y = ----------
2
The center is at x = 1 and y = -1/2: (1, -1/2).
b) The radius is half the diameter. The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):
diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,
radius = (1/2)√65.
square of the radius = r² = 65/4
The general equation of a circle with center at (h, k) and radius r is
(x - h)² + (y - k)² = r². In this case, the equation is:
(x - 1)² + (y + 1/2)² = 65/4
Since this is a 45-45-90 triangle, n = 9 and m = x