Answer:
42 minutes.
Step-by-step explanation:
We know that:
y = 0.2*x
is the equation that that defines the distance, in miles, that the boat travels in x minutes.
We know that the dolphins are at 8.4 miles from the boat.
Then when we have y = 8.4, this will mean that the boat reached the dolphins.
Then we need to solve the equation:
y = 8.4 = 0.2*x
for x
To do that, we just need to isolate x in one side of the equation, so we can just divide both sides by 0.2 to get:
8.4/0.2 = (0.2*x)/0.2
42 = x
And x is time in minutes, thus, the boat needs to travel for 42 minutes to reach the dolphins.
Answer:
x = -11
Step-by-step explanation:
I'm assuming it's an isosceles triangle so 32 + 2x = 10;
subtract 32 from both sides;
2x = -22
x = -11
SOH CAH TOA
Sine is opposite over hypotenuse so you're answer is C.
:)))
Answer:
y + 4 = -3 (x - 5)
In other words,
y = -3 x + 11
Step-by-step explanation:
The slope of the tangent line to y = g(x) at x = 5 is the same as the value of g'(x). g'(5) = 3. Therefore, 3 will be the slope of the tangent line.
The tangent line goes through the point of tangency (5, g(5)). g(5) = -4. Therefore, the tangent line passes through the point (5, -4).
Apply the slope-point form of the line. The equation for a line with slope <em>m</em> that goes through point (a, b) will be y - b = m(x - a). For the tangent line in this question,
What will be the equation of this line?
