Answer:
x = 16.8
Step-by-step explanation:
To get the value of x, we use Pythagoras’ theorem since what we have is a right angled triangle
Mathematically, we have it that;
the square of the hypotenuse (21) equals the sum of the squares of the two other sides
21^2 = 12.6^2 + x^2
x^2 = 21^2 - 12.6^2
x^2 = 282.24
x = √282.24)
x = 16.8
Answer:
b
Step-by-step explanation:
The probability (PB) is .4 or 4/10 or 2/5.
So, we'd do a proportion.
2/5=x/6
Cross multiply.
5x=12
Divide by sides by 5.
x=2.4
We round up to account for the .4
so b
I can't answer c right now, but I'll come back once my class is over :)
Answer:
This should help
Step-by-step explanation:
P(LC / S) = P(S intersect LC) / P(S)
P(S intersect LC) = P(S)*P(LC / S) = 0.19 * 0.158 = 0.03
By "y = −9x2 − 2x" I assume you meant <span>y = −9x^2 − 2x (the "^" symbol represents exponentiation).
Let's find the first derivative of y with respect to x: dy/dx = -18x - 2. This is equivalent to the slope of the tangent line to the (parabolic) curve. Now let this derivative (slope) = 0 and solve for the critical value: -18x - 2 = 0, or
-18x = 2. Solving for x, x = -2/18, or x = -1/9.
When x = -1/9, y = -9(-1/9)^2 - 2(-1/9). This simplifies to y = -9/9 + 2/9, or
y = -7/9.
The only point at which the tangent to the curve is horiz. is (-1/9,-7/9).</span>
