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3 years ago

If ab = c - d, which of the following is an expression for d in terms of a, b, and c?

1 answer:

3 0

ANSWER

$d = - ab + c$

EXPLANATION

The given expression is

$ab = c - d$

To find an expression for d in terms of a, b, and c, means we want to make d the subject of the relation.

This means that, we need to isolate d on one side of the equation while all other terms are on the other side.

We subtract from both sides of the equation to obtain,

$ab - c = - d$

We now divide through by -1, to get,

$- ab + c = d$

Or

$d = - ab + c$

The topic is change of subject

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2 years ago

Solve for x. <br><br> x + 3x + 5 =21

timurjin [86]

Answer:

x=4

Step-by-step explanation:

In order to solve for x, we must isolate x on one side of the equation.

x+3x+5=21

First, combine like terms. x and 3x are both terms with variables, and can be combined.

(x+3x) + 5=21

4x + 5=21

5 is being added to 4x. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.

4x+5-5= 21-5

4x= 16

x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.

4x/4=16/4

x= 16/4

x=4

Let's check our solution. Plug 4 in for x and solve.

x+3x+5=21

4+3(4)+5=21

4+12+5=21

16+5=21

21=21

This solution checks out, so we know our answer is correct.

x is equal to 4, x=4.

4 0

3 years ago

Read 2 more answers

a 9ft ladder is placed 4.5 feet from the base of a wall. How high up will the ladder reach? Round to the nearest hundredth.

spin [16.1K]

Answer:

$\huge\boxed{7.79 \ \text{feet}}$

Step-by-step explanation:

We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.

This can be represented as a triangle, where x is the unknown side.

| \

x | \ 9

| \

|_____\

4.5

We can use The Pythagorean Theorem to find the value of x. The theorem states that $a^2+b^2=c^2$ , where a and b are the lengths of the legs and c is the length of the hypotenuse.