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2 years ago

If bc+ad=b solve for a

Mathematics

2 answers:

igomit [66]2 years ago

8 0

Answer & Step-by-step explanation:

Ok, so to solve for a in this equation means that we need to write the equation from the point of view of a, instead of b, which is the way it is currently written.

bc + ad = b

The first thing to do is isolate a, we do this by dividing every term in this by a.

a = bc/a + ad/a + b/a

a = d(bc + b)

Now, we need to divide d from the equation.

<h2>FINAL ANSWER: a = b/d - bc/d</h2>

stiv31 [10]2 years ago

7 0

Answer:

bc+ad=b

or,ad=b-bc

or,a=(b-bc)/d

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Read 2 more answers

Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.

gtnhenbr [62]

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

$\frac{3^{n+4} - 3^n}{16}$

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

$\frac{3^{n+4} - 3^n}{16}$ becomes

$\frac{3^n * 3^4 - 3^n}{16}$

Factorize

$\frac{3^n(3^4 - 1)}{16}$

$\frac{3^n(81 - 1)}{16}$

$\frac{3^n(80)}{16}$

3ⁿ * 5

5(3ⁿ)

<em>The expression can not be further simplified.</em>

<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>

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3 years ago

How would I figure out what L= is if V=168 yd W= 7 yd H= 3 yd?

Mariulka [41]

We can assume that the shape is a rectangular prism by the given dimensions

Volume of a rectangular prism
Volume = Area of Base × Height of prism
= Length × Width × Height of prism
Substitute!
168 = L × 7 × 3
168 = L × 21
Divide 21 on either sides to isolate L

$\frac{168}{21}$ = $\frac{L*21}{21}$
21 and 21 cancels out

8 = L
L = 8 yd

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3 years ago

Write the equation 7x + 8y =4 in the form y = mx + b. (2 points)

Veseljchak [2.6K]

Answer:

it's your first answer of

y= (-7/8)x + 1/2

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