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3 years ago

If y varies directly with x, find the missing value below. (2, -34) and (x, 85)

Mathematics

1 answer:

DedPeter [7]3 years ago

8 0

Answer:

X= -5

Step-by-step explanation:

y varies directly with x,

so y=kx

-34=k×2

k= -17

85= -17× X

X= -5

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(b) Which numbers are divisible by 5? 683,134 or 680

blsea [12.9K]

Answer:

680

Step-by-step explanation:

680 ÷ 5 = 136

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8 0

3 years ago

Two particles move in the xy-plane. At time t, the position of particle A is given by x(t)=5t−5 and y(t)=2t−k, and the position

Ipatiy [6.2K]

Answer:

Part A) Not collide

Part B) k = 4

Part C) Particle B is moving fast.

Step-by-step explanation:

Two particles move in the xy-plane. At time, t

Position of particle A:-

$x(t)=5t-5$

$y(t)=2t-k$

Position of particles B:-

$x(t)=4t$

$y(t)=t^2-2t+1$

Part A) For k = -6

Position particle A, (5t-5,2t+6)

Position of particle B, $(4t,t^2-2t-1)$

If both collides then x and y coordinate must be same

Therefore,

For x-coordinate:

5t - 5 = 4t

t = 5

For y-coordinate:

$2t+6=t^2-2t-1$

$t^2-4t-7=0$

$t=-1.3,5.3$

The value of t is not same. So, k = -6 A and B will not collide.

Part B) If both collides then x and y coordinate must be same

For x-coordinate:

5t - 5 = 4t

t = 5

For y-coordinate:

$2t-k=t^2-2t-1$

Put t = 5

$10-k=25-10-1$

$k=4$

Hence, if k = 4 then A and B collide.

Part C)

Speed of particle A, $\dfrac{dA}{dt}$

$\dfrac{dA}{dt}=\dfrac{dy}{dt}\cdot \dfrac{dt}{dx}$

$\dfrac{dA}{dt}=2\cdot \dfrac{1}{5}\approx 0.4$

Speed of particle B, $\dfrac{dB}{dt}$

$\dfrac{dB}{dt}=\dfrac{dy}{dt}\cdot \dfrac{dt}{dx}$

$\dfrac{dB}{dt}=2t-2\cdot \dfrac{1}{4}$

At t = 5

$\dfrac{dB}{dt}=10-2\cdot \dfrac{1}{4}=2$

Hence, Particle B moves faster than particle A

8 0

4 years ago

2/3 divided by 4/pls help me find the answer Asap

Gre4nikov [31]

Answer:

.165 or 1/6

Step-by-step explanation:

4 0

3 years ago

Josie has a small fish tank shaped like a rectangular prism. Her fish tank measures 7 inches tall and 9 inches wide. If Josie's

irinina [24]

Answer:6

Step-by-step explanation:

If we know that the formula of a rectangular prism is length * width * height, and we know the height and width are 7 and 9, the length is the only thing that is left. The volume is 378, and so now we have:

length * 7 * 9 = 378. Dividing the 9 and 7, we get 378/(9*7). The length is 6.

3 0

3 years ago

Consider a sequence generated by the formula f(n) = 6n − 4 starting with n = 1. Generate the terms f(1),

Ierofanga [76]

Answer:

See explanation below

Step-by-step explanation:

To get all the terms in this sequence, all you need to do is to put the values of n, starting from 1 to 5 in the formula.

The part where n is, you just put the value given.

To get for example f(5), you only need to put n = 5 in the formula, do the math and then get the result.

Here are the values of f1, f2, f3, f4 and f5. Again, we will use the following values for n: 1,2,3,4,5

f(1) = 6(1) - 4 = 6 - 4 = 2

f(2) = 6(2) - 4 = 12 - 4 = 8

f(3) = 6(3) - 4 = 18 - 4 = 14

f(4) = 6(4) - 4 = 24 - 4 = 20

f(5) = 6(5) - 4 = 30 - 4 = 26

8 0

4 years ago