Answer:
See the attached graph from which we obtain x = 3 as the only solution for the given equation.
Step-by-step explanation:
Notice that the equation is the same equation as when y = 0 in the function , since when y=0 we have:
Then what we need to find is for which values of "x" in the graph of y = x^2-6x+9, the graph touches or crosses the x-axis (that is when y=0)
We graph the given function in the x-y coordinate system and find where it renders zero for "y" (see attached graph).
We see that there is only one point of contact with the x-axis at x = 3
<u><em>Answer:</em></u>
x = 25
y = 14
<u><em>Explanation:</em></u>
The described scenario can be represented using the attached triangle.
<u>1- getting the value of x:</u>
We know that ΔABC is an isosceles triangle with AC = BC
<u>This means that:</u>
∠CAB = ∠CBA
We know that ∠CAB = 50° and ∠CBA = 2x°
<u>Equating the two angles, we get:</u>
50 = 2x .................> Divide both sides by 2
x = 25
<u>2- getting the value of y:</u>
We know that the sum of the internal angles of a triangle is 180°
<u>This means that:</u>
∠ABC + ∠CAB + ∠ACB = 180°
<u>We have:</u>
∠ABC = 2x = 50°
∠ACB = 5y + 10
∠CAB = 50°
<u>Now, we substitute to get the value of y as follows:</u>
50 + 50 + 5y + 10 = 180
110 + 5y = 180
5y = 180 - 110
5y = 70 .............> Divide both sides by 5
y = 14
Hope this helps :)
Answer:
Step-by-step explanation:
Answer:
Frequency of observed desired outcome: 3
Number of trials: 10
Experimental probability: 3/10
0.2 if you mean 2/10 or 2.5 if you mean 10/2