Answer:
- (√30 - 1, 0)
- (-√30 - 1, 0)
Step-by-step explanation:
Making the equation of the parabola :
⇒ y = a(x - h)² + k
⇒ y = (x + 1)² - 17 - 13
⇒ y = (x + 1)² - 30
x-intercepts have y = 0 :
- 0 = (x + 1)² - 30
- (x + 1)² = 30
Taking the square root on each side :
- √(x + 1)² = √30
- x + 1 = ±√30
- x = ±√30 - 1
The x-intercepts are :
- (√30 - 1, 0)
- (-√30 - 1, 0)
P = 2(L + W)
P = 80
W = 1/3L
80 = 2(L + 1/3L)
80 = 2(3/3L + 1/3L)
80 = 2(4/3L)
80 = 8/3L
80 * 3/8 = L
240/8 = L
30 = L .... length (L) is 30 ft
W = 1/3L
W = 1/3(30)
W = 30/3
W = 10 <== width (W) = 10 ft
Answer:
35040
Step-by-step explanation:
3.48(104)+0.24(103)
=35040
Answer:
After the reflection over the line y = -x, the image of the point is: (-3,-2)
Step-by-step explanation:
When a given point is reflected over a line the point only changes place but the distance between the point and the line remains same.
Let (x,y) be a point on the plane
and
y = -x be a line on the plane
When a point is reflected over a line y = -x , the coordinates of the point are exchanged which means x becomes y and y becomes x and both are negated
So (x,y) will become (-y,-x)
Given point is:
(2,3)
After the reflection over the line y = -x, the image of the point is: (-3,-2)
It’s 56 bc a straight line = 180 so 180-124=56
