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3 years ago

Calculate the equation of a line passing through C(4;7) and D(9;17)

Mathematics

1 answer:

Ludmilka [50]3 years ago

3 0

Answer:

it would be 10/5 or 2

Step-by-step explanation:

y2-y1/x2-x1

17-7/9-4

10/5 simplify

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a boy is standing on a pole of height 14.7m throws a stone upwards. it moves in a vertical line slightly away from the pole and

fomenos

Answer:

The time taken for the upward motion is 1 second. The same time is taken for the downward motion

It reaches a maximum height of 4.9 meters.

Step-by-step explanation:

The equation of motion is:

$x(t) = -4.9t^{2} + 9.8t$

Since the term which multiplies t squared is negative, the graph is concave down, that is, x increases until the vertex, where it reaches it's maximum height, then it decreases.

Vertex of a quadratic equation:

Quadratic equation in the format $x(t) = at^{2} + bt + c$

The vertex is the point $(t_{v}, x(t_{v}))$ , in which

$t_{v} = -\frac{b}{2a}$

In this question:

$x(t) = -4.9t^{2} + 9.8t$

So $a = -4.9, b = 9.8$

Vertex:

$t_{v} = -\frac{9.8}{2*(-4.9)} = 1$

The time taken for the upward motion is 1 second.

$x(t_{v}) = x(1) = 9.8*1 - 4.9*(1)^{2} = 4.9$

It reaches a maximum height of 4.9 meters.

Downward motion:

From the vertex to the ground.

The ground is t when x = 0. So

$-4.9t^{2} + 9.8t = 0$

$4.9t^{2} - 9.8t = 0$

$4.9t(t - 2) = 0$

$4.9t = 0$

$t = 0$

$t - 2 = 0$

$t = 2$

It reaches the ground when t = 2 seconds.

The downward motion started at the vertex, when t = 1.

So the duration of the downward motion is 2 - 1 = 1 second.

5 0

3 years ago

A student S is suspected of cheating on exam, due to evidence E of cheating being present. Suppose that in the case of a cheatin

Kay [80]

Answer:

Step-by-step explanation:

Suppose we think of an alphabet X to be the Event of the evidence.

Also, if Y be the Event of cheating; &

Y' be the Event of not involved in cheating

From the given information:

$P(\dfrac{X}{Y}) = 60\% = 0.6$

$P(\dfrac{X}{Y'}) = 0.01\% = 0.0001$

$P(Y) = 0.01$

Thus, $P(Y') \ will\ be = 1 - P(Y)$

P(Y') = 1 - 0.01

P(Y') = 0.99

The probability of cheating & the evidence is present is = P(YX)

$P(YX) = P(\dfrac{X}{Y}) \ P(Y)$

$P(YX) =0.6 \times 0.01$

$P(YX) =0.006$

The probabilities of not involved in cheating & the evidence are present is:

$P(Y'X) = P(Y') \times P(\dfrac{X}{Y'})$

$P(Y'X) = 0.99 \times 0.0001 \\ \\ P(Y'X) = 0.000099$

(b)

The required probability that the evidence is present is:

P(YX or Y'X) = 0.006 + 0.000099

P(YX or Y'X) = 0.006099

(c)

The required probability that (S) cheat provided the evidence being present is:

Using Bayes Theorem

$P(\dfrac{Y}{X}) = \dfrac{P(YX)}{P(Y)}$

$P(\dfrac{Y}{X}) = \dfrac{P(0.006)}{P(0.006099)}$

$P(\dfrac{Y}{X}) = 0.9838$

5 0

3 years ago

22. On a map, Center St, passes through coordinates (5, -3) and (3,7), Merrie Rd.

Aloiza [94]

Answer: B

Step-by-step explanation: It just is

4 0

3 years ago

Your school counselor has given you clear directions that you and your best friend should not be seen within 240 feet of each ot

FrozenT [24]

Answer:

1. 80 yd

2. 10 and 10 of the other side

3. yes

Step-by-step explanation:

1. As we were asked to stay 240 feet away, and we will be on a soccer field and it has marked distances in yards we just have to pass our feet to yards.

1 ft = 1/3 yd

240 ft = 240/3 yd

240 ft = 80 yd

2. one would have to stand in yard 10 and the other in yard 10 but from the other side of the field

50-10 = 40

40 + 40 = 80 yd

if they are diagonally the distance will be greater than 80, since the yards are parallel, because only the distance would remain only if they are on the same height

5 0

3 years ago

PLEASE HELP ME I DON’T GET IT & IT DUE SOON !!!!!

s2008m [1.1K]

Answer:

Step-by-step explanation:

cows chickens legs animals

1 11 26 (1×4+11×2=4+22=26) 1+11=12

2 9 26 (2×4+9×2=8+18=26) 2+9=11

3 7 26 (3×4+7×2=12+14=26) 3+7=10

4 5 26 (4×4+5×2=16+10=26) 4+5=9

5 3 26 (5×4+3×2=20+6=26) 5+3=8

6 1 26 (6×4+1×2=24+2=26) 6+1=7

1. minimum number of animals=7

2. chickens=3

3. cows=4

chickens=5

6 0

3 years ago