Answer:
Option A and B
Step-by-step explanation:
sides of the triangle have been given as 15, 15.8, 30 units.
angles of the same triangle has been given as 70°, 80°, [180-(70+80)] or 30°.
Here we see all sides and all the angles of the given triangle have different measures ( all the three sides and angles are different )
By the definition of scalene triangle the given triangle will be scalene.
Since all three angles of the triangle are acute angles (less than 90°).
The 5 represents the starting distance from home. In other words, when t = 0, the value of y is y = 5. Replacing t with 0 leads to this y value. This is the y intercept. So at time 0 minutes, the ant is 5 units from home. Replace "units" with whatever units you happen to be using.
Answer: The last option, <u>28</u> minutes
Step-by-step explanation:
See attached for my work. <em>If you are color blind let me know, I color-coded where I "pulled" numbers from.</em>
To answer this problem, we can look at the graph. We need to see for how long the black line is above the blue.
We can solve this using substitution.
because x-y=2.5
x=y+2.5
Now substitute x into other equation.
2(y+2.5)^2-2y=125
2y^2+10y+12.5-2y=125
2y^2+8y-112.5=0
Now comes the ugly part
y=-4+-sqrt(16+900)
y=-4+-sqrt916
y=-4+-2sqrt229
x=-1.5+-2sqrt229