Answer:
10.05 units
Step-by-step explanation:
We can find the distance between these points using the distance formula. The distance formula is:

We know that x1 is 3, x2 is 4, y1 is 4, and y2 is -6, so we can substitute inside the equation.

Hope this helped!
9514 1404 393
Answer:

Step-by-step explanation:
First of all, subtract 12 from both sides of the equation to put it into standard form:
3x² +8x -12 = 0
Then identify the a, b, c of this form:
ax² +bx +c = 0
You see that a=3, b=8, c=-12.
Now use those values in the quadratic formula for the solutions:

Y = -2.1 , x = 3.5 the first line will be horizontal and the other will be vertical
Answer: Approximately 30.4 degrees
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Work Shown:
324 - 1.6 = 322.4 is the height of the right triangle. This is the opposite side compared to the angle theta.
The adjacent side is 550 since it is the leg closest to the angle theta.
We'll use the tangent rule to connect the two sides
tan(angle) = opposite/adjacent
tan(theta) = 322.4/550
theta = arctan(322.4/550)
theta = 30.3780566013696
theta = 30.4
Your teacher didn't provide any rounding instructions, but I rounded to one decimal place since the value 1.6 is to one decimal place.