Answer:
The point at (-7, -5) = a
The point at (9, 3) = b
The point at (-3, 7) = c
The "a" point of the triangle is 12 units away from the center point.
So, 12 x 1/4
=> 12/4
=> 3
So, the "a" point of the dilated figure is 3 units left from the center.
=> So, the dilated "a" point is at (2, -5)
The "b" point is 8/4 (= rise/run = y-axis / x-axis) from the center point.
=> 8/4 = 2
So, the "b" point of the dilated figure is 1 unit right and 2 units up from the center point.
=> So, the dilated "b" point is at (6, -3)
The "c" point is 12/8 units away from the center point.
=> 12/8 x 1/4
=> 3/2
So, the "c" point of the dilated figure is 3 units up and 2 units left from the center point.
=> So, the dilated "c" point is at (3, -2)
Answer:55 CJ ^2
Step-by-step explanation:
52 ft
The missing side is 5ft because 11-6 is the remaining side length.
11+5+6+8+7+15=52
The digits in the ten-thousands place is 10,000 times the value of a digit, right? For example, 10,000 is 10,000 times 1, and one is a mere digit. The thousands place follows the same rule, with 1,000 being 1,000 times 1. Ergo, when compared, you could think of it as 10,000/1,000 = 10. We can think of this as a digit in the ten-thousands place is 10 times the value of the same digit in the thousands place.
Answer:
-2-2√3, -2+2√3
Step-by-step explanation:
Let x represent one of the numbers. Then the other number is -4-x. We want the product to be -8:
x(-4-x) = -8
-4x -x^2 = -8 . . . . . eliminate parentheses
x^2 +4x = 8 . . . . . . multiply by -1
x^2 +4x +4 = 12 . . . add 4 to complete the square
(x +2)^2 = 12
x +2 = ±√12 = ±2√3
x = -2±2√3
The two numbers are -2-2√3 ≈ -5.4641, and -2+2√3 ≈ 1.4641.
