The solution(s) will be when the x and y coordinates are equal so we can say y=y or:
-x^2+x+1=-x+2
x^2-2x+1=0 now factor...
(x-1)^2=0
So the solution occurs when x=1, y(1)=-x+2=-1+2=1, so the solution is the point:
(1,1)
Answer:
Width in
length in
Step-by-step explanation:
let width
painting is in taller than it is wide
length
Perimeter of rectangle (length+width)
Perimeter of painting
width in
length n
Chord length = 2√r²-d²
r= radius of the circle
d= perpendicular distance from the chord to the circle center.
Example:
radius = 5cm
distance = 4cm
2√5²-4²
=2√25-16
=2√9
=2×3
=6cm
Answer: 6 cm.
Hope this helped!
Answer:In 8 years the tree will have the same height.
Step-by-step explanation:
Step 1:
Let x = the number of years when the two trees will be the same height.
For the 2ft tree, you can express its height in x years as:
2+1(x)
And for the 6ft. tree...
6+0.5(x)
Step 2:
2+x = 6+0.5x Subtract 0.5x from both sides.
2+0.5x = 6 Now subtract 2 from both sides.
0.5x = 4 Finally, divide both sides by 0.5
x = 8