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3 years ago

Identify the transformation from figure A to figure B in the image below.

Mathematics

1 answer:

olga2289 [7]3 years ago

7 0

Answer:

Reflection

Step-by-step explanation:

Here, we want to get the transformation that yielded figure B from figure A

Looking at the plot, we can see that we have the origin as the center of transformation

The kind of transformation however is reflection

The shape A was reflected about the origin or the point (0,0) to give shape B

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Why is the answer to this integral's denominator have 1+pi^2

ss7ja [257]

It comes from integrating by parts twice. Let

$I = \displaystyle \int e^n \sin(\pi n) \, dn$

Recall the IBP formula,

$\displaystyle \int u \, dv = uv - \int v \, du$

Let

$u = \sin(\pi n) \implies du = \pi \cos(\pi n) \, dn$

$dv = e^n \, dn \implies v = e^n$

Then

$\displaystyle I = e^n \sin(\pi n) - \pi \int e^n \cos(\pi n) \, dn$

Apply IBP once more, with

$u = \cos(\pi n) \implies du = -\pi \sin(\pi n) \, dn$

$dv = e^n \, dn \implies v = e^n$

Notice that the ∫ v du term contains the original integral, so that

$\displaystyle I = e^n \sin(\pi n) - \pi \left(e^n \cos(\pi n) + \pi \int e^n \sin(\pi n) \, dn\right)$

$\displaystyle I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n - \pi^2 I$

$\displaystyle (1 + \pi^2) I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n$

$\implies \displaystyle I = \frac{\left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n}{1+\pi^2} + C$

6 0

2 years ago

Evaluate the expressions and match them to the integers.

alexira [117]

Answer:

See below.

Step-by-step explanation:

-7(6) = -42

-1(-10) = 10

2(-5) = -10

-3(-14) = 42

-32/-4 = 8

-2(-2)(-2) = -8

4 0

3 years ago

In Δ,∠=70°,∠=50° ∠ . <br> ℎ ∠.

AveGali [126]

Answer:

100°

Step-by-step explanation:

A triangle is a polygon shape with three sides. Triangles are of different types such as obtuse, scalene, equilateral, isosceles etc.

In triangle ABC:

70° + 50° + ∠C = 180° (sum of angles in a triangle)

120 + ∠C = 180

∠C = 180 - 120

∠C = 60°

Since ∠C is bisected into ∠ACD and ∠BCD, hence:

∠ACD = ∠BCD = ∠C / 2

∠ACD = ∠BCD = 60 / 2

∠ACD = ∠BCD = 30°

In triangle ACD:

∠A + ∠ACD + ∠ADC = 180° (sum of angles in a triangle)

50 + 30 + ∠ADC = 180

∠ADC + 80 = 180

∠ADC = 100°

6 0

3 years ago

How many 1/4 are there in 3/8

BigorU [14]

Answer:

5/8

Step-by-step explanation:

Explanation:

First you need to put the same base for both numbers, finding the minimum common multiple of 4 and 8, that's 8.

Turning 1/4 in a number with 8 as base: first, divide 8 : 4 = 2. Then multiply 1/4 x2 and it will be 2/8.

Then you're able to calculate it: keep the base and add the tops

2/8 + 3/8 = 5/8

6 0

3 years ago

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What scale factor was applied to the first rectangle to get the resulting image?

sdas [7]

Answer:

Step-by-step explanation:

In this question, it is given that, A rectangle with a short side of 6. An arrow points to a smaller rectangle with a short side of 1.5 .

The shorter side of first rectangle is of measurement 6 units and of second rectangle, is of size 1.5units .

To find the scale factor, we have to do division of the shorter sides of the first and second rectangle, that is

So the scale factor is 0.25 .

4 0

3 years ago

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