Answer:
<h2>
y = -6x - 16</h2>
Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = -6
(-3, 2) ⇒ x₀ = -3, y₀ = 2
The point-slope form of the equation:
y - 2 = -6(x + 3)
So:
y - 2 = -6x - 18 {add 2 to both sides}
y = -6x - 16 ← the slope-intercept form of the equation
Answer:
x = - 3.42443 or 6.42443
Step-by-step explanation:
Answer:
0.75
Step-by-step explanation:
0.75 is 3/4th of 1. 0.4 is 4/10 = 2/5 (40%) of 1. 75 is bigger than 40.
Answer:
MRT or TRM
Step-by-step explanation:
RT and MR meet at point R. Point R must be included in the final angle as well as the endpoints of RT and MR. The resulting angle is thus MRT, or TRM
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>
