Answer: x = 20.
Step-by-step explanation:
x and (3x + 10) combine to form a right angle, shown in the diagram by the small square joining the perpendicular lines.
Right angles are 90 degrees, so you can add both angles to get 90:
Answer:
12111
Step-by-step explanation:
Eleven thousand- 11000
Eleven Hundred-1100
Eleven-11
11000+1100+11=12111
Is this what you meant? Figures as in numbers?
if 1 inch is added, you would add 2 inches to to each side of rectangle.
You would have: W+2, and, L+2,
Now let W+2 = x and, L+2 = y
Total area = x*y=M
If 1 inch is added again, like above you add 2 inches to both sides, you would then have:
(x+2)(y+2)=M+52;
xy+2x+2y+4=M+52;
xy=M
2x+2y=48
x+y=48/2=24
Now solve :
W+2+ L+2=24
W+L=20
The perimeter is 2(W+L)=20*2 = 40 inches.
If tangent to the curve y = √x is parallel to the line y = 8x, then this implies that the tangent to y = <span>√x has the same slope as the line y = 8x. In other words, the derivative (slope) function of y = √x is equal to the slope of the line y = 8x, which is m = 8. Hence y' = 8 once we find y'
y = </span><span>√x = x^(1/2)
Applying the power rule and simplifying, we find that the derivative is
y' = 1/(2</span>√x)
Now remember that y' must equal 8
1/(2<span>√x) = 8
Multiplying both sides by 2</span><span>√x, we obtain
1 = 16</span><span>√x
Dividing both sides by 16, yields
</span><span>√x = 1/16
But wait a minute, √x = y. Thus 1/16 must be the y-coordinate of the point at which the tangent to y = √x is drawn.
Squaring both sides, yields
x = 1/256
This is the x-coordinate of the point on the curve where the tangent is drawn.
</span><span>∴ the required point must be (1/256, 1/16)
GOOD LUCK!!!</span>
