Answer:
from the similar triangles it will have the ratio is 3/5=15/x ; x=25
I can't see the number lines so I really can't help you with this question
Answer:
C = 34
Step-by-step explanation:
XW/XV = YW/YZ [[write it out]]
12 / (12+5) = 24 / x [[x is unknown]]
12 / 17 = 24 / x [[solve for x]]
17(24) = 12x [[cross-multiply]]
408 = 12x [[divide for x]]
x = 34 [[answer]]
Answer:
2x^2 + x - 1
If I did anything you didn't understand let me know so I can explain.
Step-by-step explanation:
All of them are quadratics so let's use that.
The first one is 2x^2 + x - 1. To find the axis of symmetry the strategy is usually to find the two zeroes of a quadratic and pick the number between them. Something to notice though is that 2x^2 + x - 1 is just 2x^2 + x sshifted down 1, so they both have the same axis of symmetry. So I am going to ignore the constant, because then finding the zeroes is much much simpler. I am going to do this with all opions.
So 2x^2 + x - 1 I am just going to use 2x^2 + x. If you factor out an x you get x(2x + 1) So now we have it in factored form and we know the zeroes are 0 and -1/2. The number directly in between these is -1/4, so the axis of symmetry is x = -1/4. I don't know if there is only one with that axis of symmetry so i am going to check the rest.
2x^2 - x + 1 means we are only going to look at 2x^2 - x. factoring we get x(2x - 1) so the zeroes are 0 and 1/2, so the axis of symmetry is at 1/4.
x^2 + 2x - 1 we only use x^2 + 2x. Factored form is x(x+2) so zeroes are 0 and -2 whichh means axis of symmetry is -1
x^2 - 2x + 1 has the same axis of symmetry as x^2 - 2x, which has zeros at 0 and 2 so the axis of symmetry is at 1.
So yep, it was just the first one.
Answer:
1.875\pi square units
Step-by-step explanation:
We know that area of a circle is pi r square.
The sector has a proportional area according to the angle it subtends at the centre.
Here we have a circle of radius 3 inches with central angle 75 degrees.
Total angle of a circle = 360
Area of the given sector = Area of yellow shaded= 
