Answer:
x = 102 degrees
Step-by-step explanation:
Since the line is through parrallel lines, we know that angle 2 and angle 7 will be equal to each other, so all you have to do is set the equations equal to each other to solve.
2x-37 = x+65
Subtract x from the left to isolate the variable and add 37 to the right.
x = 102
Answer:
y - 1.4x = - 6.8
Step-by-step explanation:
To find the equation: find the slope, use point-slope form to calculate the equation, then convert the equation to standard form.
Slope: 
Use point slope form: y - y₁ = m(x - x₁)
Plug in x = 27, y = 31, and m = 1.4
y - 31 = 1.4(x - 27)
y - 31 = 1.4x - 37.8
y = 1.4x - 6.8
Convert this into standard form: ax + by = c
y - 1.4x = - 6.8
Answer:
The dolphin will be above the surface of the water for 2 seconds.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



The height of the dolphin after t seconds is given by:

According to Micha's model, how long will the dolphin be above the surface of the water?
It stays above the surface of the water between the first and the second root. Initially, it is below water, when the first time for which
it crosses the surface upwards, and then the second time for which
it crosses the surface downwards.
We have to find these roots. So


Multiplying by -16




4 - 2 = 2
The dolphin will be above the surface of the water for 2 seconds.
Answer:
2.20
Step-by-step explanation:
2.20