Find the angle measure, x.

Mathematics

1 answer:

Ilya [14]3 years ago

3 0

60 deg I’m not to sure tho

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Percy works two part-time jobs to help pay for college classes. On Monday, he works 3 hours at the library and 2 hours at the co

DanielleElmas [232]

To solve the system, the best way to do it is by eliminatiion. Multiply the first equation by -2 and the second equation by 3. This changes the system to -6x-4y= -73 and 6x+15y= 150. When you add those together, the x's are eliminated, leaving 11y = 77 and y = 7. Sub that in to any one of the above equations to solve for x. 6x + 15(77) = 150 and 6x + 105 = 150. 6x = 45 and x=7.5. If x is the library and y is the coffee cart, then he makes more at the library. Your choices aren't numbered, but it's the third one.

3 0

4 years ago

I need help ASAP!!!!!!!

aleksandrvk [35]

Answer:

15.5 cm

Step-by-step explanation:

You want the difference between the values of x that make y=0. Solving for those values, we get ...

0 = -0.1(x -1)^2 +6

0 = (x -1)^2 -60 . . . . . . . . . multiply by -10

60 = (x -1)^2 . . . . . . . . . . . add 60

±√60 = x -1 . . . . . . . . . . . . take the square root

At this point, it should be obvious that the difference between the two solutions will be 2√60 = 4√15. If it is not, we can find the two solutions and take their difference:

x1 = 1 +√60

x2 = 1 -√60

Then the difference is ...

x1 -x2 = (1 +√60) -(1 -√60) = 2√60

60 has a square factor (4), so we can simplify this radical to ...

x1 -x2 = 4√15 ≈ 15.4919 ≈ 15.5

The ends of the rainbow are about 15.5 cm apart.