Which reflection of the point will produce an image at the same time coordinates (0,k)

Write parametric equations of the line with the equation 4x-6y=-12 HELP FAST

zimovet [89]

Answer: x = t, y = 2t/3 + 2

Step-by-step explanation:

You want to write both x and y in terms of t

so if you rearrange 4x - 6y = -12 you get

-6y = -4x - 12

6y = 4x + 12

y = 2x/3 + 2

set x = t

and y = 2t/3 + 2

and that's it!

another one you could do is

x = t/2

y = t/3 + 2

or even

x = 3t/2

y = t + 2

i like this one the most because it looks more elegant

4 0

3 years ago

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Noa was walking in the forest and measured the circumference of two trees that he found. The first tree measured 37 5/8 inches a

rodikova [14]

Answer:

Step 4: 44 32/24 - 37 15/24= 8 17/24

Here we can finally find out the mistake done by Noa. The result is 7 17/24 and not 8 17/24.

Step-by-step explanation:

1. Let's review carefully all the steps taken by Noa to calculate the difference of the circumferences of the two trees.

Circumference Tree 1 = 37 5/8 inches around

Circumference Tree 2 = 45 1/3 inches around

Step 1: 45 1/3- 37 5/8

The measures are correct, no issues copying them.

Step 2: 45 8/24 - 37 15/24

Noa looked for common denominators

1/3 * 8/8 = 8 /24 is correct; 5/8 * 3/3 = 15/24 is also correct.

Step 3: 44 32/24 - 37 15/24

Noa looked for making the fraction part higher on the left side:

45 8/24 = 44 32/24 is correct because 24/24 = 1

Step 4: 44 32/24 - 37 15/24= 8 17/24

Here we can finally find out the mistake done by Noa. The result is 7 17/24 and not 8 17/24.

4 0

3 years ago

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The weekly earnings of students in one age group are normally distributed with a standard deviation of 47 dollars. A researcher

ELEN [110]

Answer:

Option D) 340

Step-by-step explanation:

We are given the following in the question:

Alpha, α = 0.05

Population standard deviation, σ = $47

Margin of error = 5

95% Confidence Interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

$\text{Margin of error} = z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$5 = 1.96(\dfrac{47}{\sqrt{n}} )\\\\\sqrt{n} = \dfrac{47\times 1.96}{5}\\\\n = 339.443776\\\Rightarrow n \approx 340$

Thus, the correct answer is

Option D) 340

7 0

3 years ago

3 Solve y - 18 = -3. a) 15 6 b) 21 9 Oc) -21 12 d) -15

Phantasy [73]

The answer d)
Explaining
y = -18 + 3
y= -15

8 0

3 years ago

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Simplify this expression: cos t(sec t − cos t)

Nostrana [21]

$\cos t \, (\sec t - \cos t)$
$= \cos t \, (\frac{1}{\cos t} - \cos t)$
$= 1 - \cos^2 t$
$= \bf sin^2 t$

5 0

3 years ago

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