Answer:
1
Step-by-step explanation:
Take 4 1/2 and turn it into just halves by multiplying 4•2 and then adding it to one. 9/2 then multiply that by 2 because you need the denominator to be 4 getting 18/4. Then subtract 11/4 you end up getting 9/4. So technically you have 2 pieces but if you want them both to be 11/4 you only have one
All of them can be divided by 2 so ratio 1:2 is a common ratio
Answer:
Step-by-step explanation:
The arc subtends a central angle of 124°
Answer:
Step-by-step explanation:
Hello,
We need to express this parabola using this kind of expression
and then, the line of symmetry will be the line x = b
Let's do it !
![\text{*** Complete the square ***} \\ \\ x^2+x=x+2\cdot \dfrac{1}{2}\cdot x=(x+\dfrac{1}{2})^2-\dfrac{1^2}{2^2}=(x+\dfrac{1}{2})^2-\dfrac{1^2}{4} \\ \\ \text{*** Apply it to our parabola } \\ \\y=-x^2-x+2=-(x^2+x)+2=-[(x+\dfrac{1}{2})^2-\dfrac{1}{4}]+2 = -(x+\dfrac{1}{2})^2+\dfrac{1+2*4}{4}= -(x+\dfrac{1}{2})^2+\dfrac{9}{4} \\ \\ \text{*** It comes ***} \\ \\ \Large \boxed{\sf \ \ y=-(x+\dfrac{1}{2})^2+\dfrac{9}{4} \ \ }](https://tex.z-dn.net/?f=%5Ctext%7B%2A%2A%2A%20Complete%20the%20square%20%2A%2A%2A%7D%20%5C%5C%20%5C%5C%20x%5E2%2Bx%3Dx%2B2%5Ccdot%20%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%20x%3D%28x%2B%5Cdfrac%7B1%7D%7B2%7D%29%5E2-%5Cdfrac%7B1%5E2%7D%7B2%5E2%7D%3D%28x%2B%5Cdfrac%7B1%7D%7B2%7D%29%5E2-%5Cdfrac%7B1%5E2%7D%7B4%7D%20%5C%5C%20%5C%5C%20%5Ctext%7B%2A%2A%2A%20Apply%20it%20to%20our%20parabola%20%7D%20%5C%5C%20%5C%5Cy%3D-x%5E2-x%2B2%3D-%28x%5E2%2Bx%29%2B2%3D-%5B%28x%2B%5Cdfrac%7B1%7D%7B2%7D%29%5E2-%5Cdfrac%7B1%7D%7B4%7D%5D%2B2%20%3D%20-%28x%2B%5Cdfrac%7B1%7D%7B2%7D%29%5E2%2B%5Cdfrac%7B1%2B2%2A4%7D%7B4%7D%3D%20-%28x%2B%5Cdfrac%7B1%7D%7B2%7D%29%5E2%2B%5Cdfrac%7B9%7D%7B4%7D%20%5C%5C%20%5C%5C%20%5Ctext%7B%2A%2A%2A%20It%20comes%20%2A%2A%2A%7D%20%5C%5C%20%5C%5C%20%5CLarge%20%5Cboxed%7B%5Csf%20%5C%20%5C%20y%3D-%28x%2B%5Cdfrac%7B1%7D%7B2%7D%29%5E2%2B%5Cdfrac%7B9%7D%7B4%7D%20%5C%20%5C%20%7D)
So the line of symmetry is
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
6/30 and 6/10 are not multiples of 3/10 because you cant take 3/10 and multiply both the numerator and the denominator by one number and get 6/30 or 6/10 but a multiple would be like 6/20, 18/40, 30/100 and so on.
