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Vlad1618 [11]
3 years ago
12

Please help! Correct answer only please!

Mathematics
1 answer:
victus00 [196]3 years ago
6 0
The answer would be A , that’s his slugging percentage ! Hope this helps !
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-4(-8x + 12y)<br> Distribute
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multiply: -4 (8x) - 4 (12y) = -32x-48y

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Evaluate the integral using the indicated trigonometric substitution. (use c for the constant of integration.) x^3 / sqrt x^2 +
slava [35]
\displaystyle\int\frac{x^3}{\sqrt{x^2+49}}\,\mathrm dx

Taking x=7\tan\theta gives \mathrm dx=7\sec^2\theta\,\mathrm d\theta, so that the integral becomes

\displaystyle\int\frac{(7\tan\theta)^3}{\sqrt{(7\tan\theta)^2+49}}(7\sec^2\theta)\,\mathrm d\theta
=\displaystyle7^4\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{49\tan^2\theta+49}}\,\mathrm d\theta
=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\tan^2\theta+1}}\,\mathrm d\theta
=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\sec^2\theta}}\,\mathrm d\theta
=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{|\sec\theta|}\,\mathrm d\theta

When \sec\theta>0, we have

=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sec\theta}\,\mathrm d\theta
=\displaystyle7^3\int\tan^3\theta\sec^2\theta\,\mathrm d\theta

and from here we can substitute u=\tan\theta to proceed from here.

Quick note: When we set x=7\tan\theta, we are implicitly enforcing -\dfrac\pi2 just so that the substitution can be undone later via \theta=\tan^{-1}\dfrac x7. But note that over this domain, we automatically guarantee that \sec\theta>0, so the absolute value bars can be dropped immediately.
6 0
3 years ago
. How can you know if 2 shapes are congruent? Draw an example of 2 congruent triangles and label how you know.
ValentinkaMS [17]

Triangle ABC and triangle DEF are congruent by the SAS Congruence Postulate

<h3>What are congruent triangles?</h3>

Two triangles are said to be congruent if they have the same shape and their corresponding sides are also congruent.

We can say that two triangles are congruent using these 5 rules:

1: SSS or the side, side, side rule, that means that we have two triangles with all three sides equal.

2. SAS or side, angle, side states that in the two triangles, two sides and the included angle are equal.

3. ASA or angle, side, angle states that in two triangles, the two angles and the included side are equal.

4. AAS or angle, angle, side states that we have two triangles where two angles and the non-included side are equal.

5. HL or the Hypotenuse Leg rule states that, if the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, then the two triangles are congruent.

Two triangles are said to be congruent if they have the same shape and their corresponding sides are also congruent.

Example:-From the diagram, given that:

AB = DE, BC = EF and ∠B = ∠E

Triangle ABC and triangle DEF are congruent by the SAS Congruence Postulate

Find out more on congruent triangles at:

brainly.com/question/2644832

#SPJ1

6 0
2 years ago
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