The length of the leg of right isosceles triangle is a. Find the length of the hypotenuse.
1 answer:
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Answer:
X=6 and Y=3
Step-by-step explanation:
Use SOHCAHTOA, SOH, Sin=Opposite/Hypotenuse, Therefore Sin60°=(3√3)/x ; Xsin60°=3√3 and Sin60° without using 4figuretable or calculator is √3/2, Now x=3√3 ÷√3/2 ;. therefore X=3√3×2/√3= 6. X=6 . Using Pythagoras theorem, 6²={(3√3)² +y²}. Y²= 36-27=9. Y=√9, Y=3. Therefore X=6 and Y=3.
I am not quite sure but I hope it helps!
Answer:
<em>Observe attached image</em>
<em>Function zeros:</em>
(3, 0), (5, 0)
<em>Vertex:</em>
(4, 2)
<em>Axis of symmetry:</em>
<em></em>
Step-by-step explanation:
<u>First factorize the function</u>
<em>Take -2 as a common factor.</em>
<em>Now factor the expression </em>
You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.
These numbers are -5 and -3
Then we can factor the expression in the following way:
<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>
Now we find the coordinates of the vertex.
For a function of the form the x coordinate of its vertex is:
In the function
<u>Then the vertice is:</u>
The y coordinate of the symmetry axis is
The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.
<u>Then the axis of symmetry is the line</u>
<u>The solutions and the vertice written as ordered pairs are:</u>
<em>Function zeros:</em>
(3, 0), (5, 0)
<em>Vertex:</em>
(4, 2)
