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3 years ago

What is 22 + 5d = -8(7d-4)

Mathematics

2 answers:

ratelena [41]3 years ago

4 0

22+5d=-8x7d=56d+ -8x-4=32

22+5d=-56d+32

22+32=54 and -56d+5d=-51d

The answer would be 51d+54

pickupchik [31]3 years ago

3 0

Remark

The steps are the same usually. Remove the brackets and collect like terms on each side of the equal sign.

Solution

22+5d = -8(7d - 4) Remove the brackets.

22+5d = -56d + 32 Notice the sign change on 32. 2 minus quantities = a plus when multiplied. Add 56d to both sides.

22 + 5d + 56d = - 56d + 56d + 32

22 + 61d = 32 Subtract 22 from both sides.

61d = 32 - 22

61d = 10 Divide by 51

d = 10/61

d = 0.1639 Answer

Check

LHS

22 + 5*0.1639 = 22.8197

RHS

-8(7*0.1639 - 4)

-8(1.1473 - 4)

-8(-2.8527)

22.8216

The difference is a rounding error.

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3 years ago

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3 years ago

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Nat2105 [25]

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3 years ago

Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.

SashulF [63]

ANSWER

${r}^{2} = 4 \cos2\theta$

EXPLANATION

The Cartesian equation is

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We substitute

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$y = r \sin( \theta)$

and

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This implies that

${( {r}^{2} )}^{2} = 4(( { r \cos\theta) }^{2} - {(r \sin\theta) }^{2} )$

Let us evaluate the exponents to get:

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${r}^{4} = 4{r}^{2} ({ \cos^{2}\theta } - \sin^{2}\theta)$

Divide through by r²

${r}^{2} = 4 ({ \cos^{2}\theta } - \sin^{2}\theta)$

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3 years ago

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Sav [38]

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3 years ago