Answer:
C) (1,3) and ( 4,0)
The intersecting points of two given curves are A( 1,3) and B(4,0)
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given Parabola y = x² – 6x + 8 and straight line y = -x +4
y = x² – 6x + 8 ...(i)
y = -x +4 ...(ii)
Equating (i) and (ii) equations , we get
x² – 6x + 8 = -x +4
⇒ x² – 6x + 8 +x - 4 = 0
⇒ x² – 5x + 4 = 0
⇒ x² – 4x -x + 4 = 0
⇒ x ( x-4) -1( x -4) =0
⇒ (x -1) ( x -4) =0
⇒ x =1 and x = 4
<u><em>Step(ii):-</em></u>
Put x = 1 in equation y = -x +4
y = -1 +4 = 3
The first point A( 1,3)
Put x = 4 in equation y = -x +4
y = -4+4 =0
The second point B(4,0)
<u><em>Final answer:</em></u>-
they were right C was correct I finished the test so i can confirm
The LCM (Least Common Multiple) of 15 and 143 is 2,145
List the first 10 multiples of 15 first. (or more)
15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360,
Now for 143
143:143,286,429,572,715...
So their CM is 2,145
But maybe, it is not their LCM
Given that:
and
If we equate both since they are distances, we have:
Algebraically, moving the equation to the right side, we get:
To factor the equation on the left side:
Factor out 2 on the left-hand side:
To determine the time when the two boats have to cover an equal distance:
Thus:
27
27 because it is simply just adding 2 more seats by every row :D
8 x 3 = 24, 24 divided by 2 = 12
I got 3(base of triangle) from subtracting 4 from 7.
12 x 2 = 24(area of two triangles)
16 x 4 = 64(area of long rectangle below)
I got 16 by the given length below, and i got the height from the middle which is the height that says 4.
Add both given areas:
24 + 64 = 88 square inches is your area.
yes