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aksik [14]
3 years ago
15

Recall the equation for a circle with center ( h , k ) (h,k) and radius r r. At what point in the first quadrant does the line w

ith equation y = 2.5 x + 2 y=2.5x+2 intersect the circle with radius 6 and center (0, 2)?
Mathematics
1 answer:
garri49 [273]3 years ago
7 0
Equation of this circle is
x^2 + (y - 2)^2 = 36
y = 2.5x + 2

Substitute for y in the equation of the circle:-

x^2 + (2.5x + 2 - 2)^2 = 36

x^2 + 6.25x^2 = 36

x^2 = 36 / 7.25  

x = +/-   6  /  2.693  =  +/- 2.228

when x = 2.228 y = 2.5(2.228) + 2 =  7.57    to nearest hundredth

when x = -2.228 y = 2.5(-2.228) + 2 =   -3.57

So they intersect at 2 points but the intersect in the first quadrant is at (2.23, 7,57)        to nearest hundredth.
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48

Step-by-step explanation:

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Find the critical value tc for the confidence level c=0.98 and sample size n=18
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Answer step-by-step explanation:

We know that the critical t value for a 98% confidence level for a sample of size n = 18:

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3 years ago
In the above bridge, line segment BD is the perpendicular bisector of line segment AC. For the bridge to be safe, Triangle ABD i
klasskru [66]

Answer: we can get the sequence of reasons with help of below explanation.

Step-by-step explanation:

Here It is given that, line segment BD is the perpendicular bisector of line segment AC. ( shown in below diagram)

By joining points B with A and B with C ( Construction)

We get two triangles ABD and CBD.

We have to prove that : Δ ABD ≅ Δ CBD

      Statement                                                  Reason

1. AD ≅ DC                                    1. By the property of segment bisector

2. ∠BDA ≅ ∠ BDC                        2. Right angles

3. BD ≅ BD                                   3. Reflexive

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8 0
3 years ago
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MA_775_DIABLO [31]

Answer:

Accelerating to top speed, deaccelerating to finish line.

Step-by-step explanation:

If the runner kept a constant speed of 11 mph for the whole duration of his run (32 minutes), the distance he would have covered is:

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This means that, in order to run the full 6.2 miles, the runner needs to reach a speed over 11 mph. Assume he starts from rest, while accelerating the runner reaches, and the surpasses, the 11 mph mark. Since his speed at the finish line is zero, the runner has to deaccelerate from his current running speed (which should be higher than 11 mph), passing through 11 mph and reaching zero at the finish line.

3 0
3 years ago
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