Answer:
180/t = r
Step-by-step explanation:
In this question, we would have to write an equation that represents the scenario given.
We know that the car traveled 180 miles at a constant rate.
We would use the y = mx + b format for the equation, but replacing the variables with "r" and "t"
We know that 180 will be our y-variable, since that would be the base of the equation:
180 = ???
And to find how long/fast it will take the car, we would need to multiply the rate of speed "r" and time "t" in order to get our distance.
Plug it into the equation:
180 = rt
With this set up, you can find the rate of speed of the car when you know the time.
You would simply solve it as:
180/t = r
Answer:
< - 5, 3.5 >
Step-by-step explanation:
A single translation is required to map A onto B
Consider the point (5, 3 ) on A and the corresponding point (0, 6.5) on B
the translation is < 0 - 5, 6.5 - 3 > = < - 5, 3.5 >
the exact value of sin A to the nearest ten- thousandth is 0. 6625
<h3>Using the pythagorean theorem</h3>
a² + b² = c²
The opposite side is unknown, so use the pythagorean theorem to find it
c = hypotenuse = 4
a= opposite site = ?
b= adjacent side = 3
Substitute into the formula
4² = a² + 3²
16 = a² + 9
a² = 16 -9 = 7
Find the square root
a =√7 = 2. 65
To find Sin A, use
Sin A = opposite side ÷ hypotenuse
Sin A = 2. 65 ÷ 4 = 0. 6625
Thus, the value of sin A is 0. 6625
Learn more about pythagorean theorem here:
brainly.com/question/654982
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If y = √(2x + 1), then differentiating both sides implicitly with respect to t gives
dy/dt = 1/2 • 1/√(2x + 1) • 2 • dx/dt = 1/√(2x + 1) • dx/dt
(a) If dx/dt = 9 and x = 4, then
dy/dt = 1/√(2•4 + 1) • 9
dy/dt = 1/√(8 + 1) • 9
dy/dt = 1/√9 • 9
dy/dt = 9/3
dy/dt = 3
(b) If dy/dt = 3 and x = 40, then
3 = 1/√(2•40 + 1) • dx/dt
3 = 1/√(80 + 1) • dx/dt
3 = 1/√81 • dx/dt
3 = 1/9 • dx/dt
dx/dt = 27
Answer:
-1809 + 899i or
-1809 + √-899
Step-by-step explanation:
foil method
i² = -1
