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vesna_86 [32]
3 years ago
6

consider the point (x,y) lying on the graph of y=(x+3)^1/2. let L be the distance between the points (x,y) and (4,0). write l as

a function of y
Mathematics
1 answer:
olga_2 [115]3 years ago
6 0
L=\sqrt{ (x-4)^2 + y^2 }
and 
y=\sqrt{x+3} \Rightarrow x = y^2-3

L=\sqrt{ (x-4)^2 + y^2 }=\sqrt{ (y^2 - 3-4)^2 + y^2 }=\sqrt{ (y^2-7)^2 + y^2 }


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2. Find the surface area of the regular pyramid shown to the nearest whole<br> number.
hoa [83]

Answer:

208m^2

Step-by-step explanation:

area of hexagon = 93.53 using its equation

area of single triangle = 0.5(6*6)

area of all triangles = 6(0.5(6*6))

total area = 207.53

NWN = 208

5 0
2 years ago
Two faces of a six-sided die are painted red, two are painted blue, and two are painted yellow. The die is rolled three times, a
Keith_Richards [23]

Answer:

(a) 4/9

(b) 19/27

Step-by-step explanation:

The probability of each die turning up red or not turning red are:

P(R) =\frac{2}{6}= \frac{1}{3}\\P(O) =\frac{4}{6}= \frac{2}{3}

(a). Exactly one face up is red.

The odds of only the first die being red are:

P(A=R) =\frac{1}{3} *\frac{2}{3}* \frac{2}{3} \\P(1=R) =\frac{4}{27}

The same odds are valid for only the second or only the third die being red. Therefore, the probability that exactly one die turns up red is:

P(R=1) = 3*\frac{4}{27}\\P(R=1) = \frac{4}{9}

(b). At least one face up is red.

The probability that at least one die turns up red is the sum of the probabilities of exactly one (found in the previous item), two or all dice turning up red.

Following the same logic as in the previous item, the probability that exactly two dice turn up red is:

P(R=2) = 3*(\frac{1}{3}*\frac{1}{3}*\frac{2}{3})\\P(R=2) = \frac{2}{9}

The probability that all die turn up red is:

P(R=3) = \frac{1}{3}*\frac{1}{3}*\frac{1}{3}\\P(R=3)=\frac{1}{27}

Thus, the probability that at least one die turns up red is:

P= P(R=1)+P(R=2)+P(R=3) = \frac{4}{9}+\frac{2}{9}+\frac{1}{27}\\P=\frac{19}{27}

4 0
3 years ago
20 POINTS<br> if you dont know the answer please dont answer<br> 12x+24y=48
Nadya [2.5K]

Answer:

x=2 y=1

Step-by-step explanation:

12 times 2 equals 24

24 time 1 equals 24

24+24=48

8 0
3 years ago
The equation y 10x describes the amount of money Sandra earns, where x is the number of hours she
tester [92]

Answer:

a) $10 per hour

b) Sandra

Step-by-step explanation:

<u>Complete Question:</u>

<em>The equation y 10x describes the amount of money Sandra earns, where x is the number of hours she  works and y is the amount of money she earns </em>

<em>The table shows the amount of money Susan cams for different numbers of hours worked</em>

<em>Susan's Earnings </em>

<em>Time (h)           Money Earned</em>

<em>5                              40</em>

<em>8                              64                </em>

<em>10                             80</em>

<em>(a) How much money does Sandra eam per hour? Show your work </em>

<em>(b) Who earns more per hour? Justify your answer</em>

<em />

<em />

<u>Answer:</u>

a)

y = 10x is sandra's equation. To find her hourly rate, we need to find how much she earns in "1" hour. Since x is hours, we plug in x = 1 and find y (which is her pay).

y = 10x

y = 10(1)

y = 10

$10 is Sandra's hourly rate.

b)

To find who earns more per hour, we need to find the hourly rate of Susan as well from the table. Then compare.

5 hours = $40 so per hour is 40/5 = 8

8 hours is 64, so per hour 64/8 = 8

10 hours is 80, so 80/10 = 8

The table is justified at $8 per hour.

We know Sandra earns $10/hr and Susan earns $8 per hour. So Sandra earns more per hour.

4 0
3 years ago
Find the volume of the cone. Round to two decimal places
Lisa [10]

Answer:

564.44

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8 0
2 years ago
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