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2 years ago

Darko found the distance between points A(3,-4) and B(-1,3) his work is shown below

Mathematics

2 answers:

alex41 [277]2 years ago

4 0

In this question , Darko have to find the distance between A(3,-4) and B (-1,3) .

He uses the correct formula, which is

$d = \sqrt{ (x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}$

And on substituting the values , we will get

$d = \sqrt{ (-1-3)^2 + (3- (-4))^2 }$

And in this line, Darko did the mistake .

Sever21 [200]2 years ago

3 0

Answer:

Darko has done a mistake in step 1. which putting the values of y coordinates of A and B in the formula.

Step-by-step explanation:

Distance between the two points is calculated by the formula

d = $\sqrt{(x-x')^{2}+(y-y')^{2}}$

Since coordinates of the two points have been given as A(3, -4) and B(-1, 3).

Therefore, we can calculate the distance between these points by plugging in the values.

Distance AB = $\sqrt{(-3-1)^{2}+(3+4)^{2}}$

= $\sqrt{(-4)^{2}+(7)^{2}}$

= $\sqrt{16+49}$

= $\sqrt{65}$

= 8.06 unit

Darko has made a mistake while replacing the values in the formula in step 1.

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2 years ago

Can some show the steps and the answer please I really need help tell me how you get it and the answer

Tems11 [23]

Answer:

Step-by-step explanation:

here is some helpful trig function reminders.. copy this and keep it

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

they ask how long is the ladder

they give us the opposite side (8) and the adjacent side (6)

and the Hyp is the length of the ladder. They expect you to sort this out in your head. :/

there is two steps .. we'll solve for the angle.. then we can use that to find the Hyp side..(long side of triangle) which is the ladder length

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Ф ≈ 53.130°

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2 years ago

Sydney placed 10 guppies in a fish tank she recorded the number of guppies in the tank

pav-90 [236]

Answer:

$g(n) = 10 * 3^{n}$

Step-by-step explanation:

Given

See attachment for table

Required

Determine the explicit formula for the table

First, we need to check if the guppies increases at arithmetic progression or geometry progression.

For arithmetic progression:

We calculate the common difference (d)

$d = g(n) - g(n-1)$

Take n as 1

$d = g(1) - g(1-1)$

$d = g(1) - g(0)$

From the table:

$g(1) = 30\ \&\ g(0) = 10$

$d = 30 - 10$

$d = 20$

Take n as 2

$d = g(2) - g(1)$

From the table:

$g(1) = 30\ \&\ g(2) = 90$

$d = 90 - 30$

$d = 60$

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For geometry progression:

We calculate the common ratio (r)

$r = \frac{g(n)}{g(n-1)}$

Take n as 1

$r = \frac{g(1)}{g(1-1)}$

$r = \frac{g(1)}{g(0)}$

From the table:

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$r = \frac{30}{10}$

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From the table:

$g(1) = 30\ \&\ g(2) = 90$

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Because the progression starts from 0, we make use of the following formula

$g(n) = g(0) * r^{n}$

Substitute values for g(0) and r

$g(n) = 10 * 3^{n}$

Hence:

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mrs_skeptik [129]

Answer:

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3. Subtract 3y from both sides: y=3y-12-> y-3y= -12

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2 years ago