Answer:
y = -1/2x + 3
Step-by-step explanation:
y = mx + b
The b is the y-intercept or the point where x is 0. According to the given graph, the y-intercept is (0, 3). So, b would equal 3
b = 3
Slope is simply rise over run, so for a simple line graph like this, we can count how many points the line goes up, or down, and right, or left, to reach the next point. According to the given graph, the slope is -2/4 or -1/2.
m = -1/2
plug these into the slope-intercept equation to find the answer
y = -1/2x + 3
Answer:
8.3 cm
Step-by-step explanation:
The product of lengths to the near and far point of intersection with the circle is the same in all cases:
(7 cm)(7 cm) = (y)(11 cm +y) = (4 cm)(4 cm +x)
Since we're only interested in x, we can divide by 4 and subtract 4:
49 cm² = (4 cm)(4 cm +x)
(49/4) cm = 4 cm +x . . . . . . divide by 4 cm
8.25 cm = x . . . . . . . . . . . . . subtract 4 cm
To the nearest tenth, x = 8.3 cm.
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For a tangent segment, the two points of intersection with the circle are the same point, so the product of lengths is the square of the length.
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The angles depend on the size of the circle, which is not given.
Ok listen close. Put 538 on top and 046 on the bottom. Line them up so you don't get confused. don't forget it's multiplication. Start from right to left. Your going to have to cancel out each of the bottom numbers. Cool. Now here's the equation. multiply 8x6. it's 48. put the 8 under the 6 and the 4 small up by the 3 in the 538. That's a remainder. Now it's time for the 3x6 with the remainder of 4. it's 18. now add the remainder to 18. 4+18=22. Put the single 2 next to the other answer just to the left. It should look like blankspacebecauseequationisn'tdone 28. Now Put the remainder (2) small right by the 5 in 538. Next is 5x6 with the remainder. It's 30+remainder of 1= 31 put both those numbers down next to the 28 answer space. It's now 3,128. Now this is where it gets tricky. put a 0 DIRECTLY BELOW the 8 in 3,128. This is for an equation later. Now you worked through the 6 part of 46, now you only have the 4 to work through. Now let's work through 8x4. it's 32. put the 2 right next to the 0 in the answer part. Put the remainder next to the 3 in 538. Now it's 3x4 +the remainder of 3. It's 12+ 3 + 15. Put the 5next to the 20 in the answer section under 3,128. It should look like blablabla 520. Now let's work out 5x4 With the remainder of 1 from the 15. It's 20 + 1= 21. Put the 21 right next to 520. It should look like 21,520. Now to finish this equation, add the top number 03,128 and the bottom number 21,520. Here if it's easier the equation. 03,128+21,520 which equals 24,748. Hope that helped!
Answer:
x is greater than or equal to 95 $ a month
Step-by-step explanation:
First convert the terms to fractional exponents
u = t^2/3 - 3t^3/2
differentiating
u' = 2/3 t^ (2/3 - 1) - 3* 3/2 t^(3/2 - 1)
= 2/3 t ^(-1/3) - 9/2 t ^(1/2)
= 2 / (3∛t) - 9 √ t / 2 in radical form
