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4 years ago

Evaluate ab - cd = a = 5, b = 3, c = 4, d = 2

Mathematics

1 answer:

Westkost [7]4 years ago

7 0

Answer:

Step-by-step explanation:

ab - cd = ?

Put the numbers into the correct variables of the equation.

(5)(3) - (4)(2) = ?

Now multiply 5 and 3 with each other. This leaves you with:

15 - (4)(2) = ?

Now, multiply 4 and 2 with each other. This leaves you with:

15 - 8 = ?

Now, you are able to solve the equation.

15 - 8 = 7

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When completing the square on the equation c2 + 110 = 12, the resulting solution is:<br> It

Delvig [45]

Answer:

$c=1$ and $c=-12$

Step-by-step explanation:

The correct equation is:

$c^2+11c=12$

To solve by completing the square method.

Solution:

We have:

$c^2+11c=12$

In order to solve by completing the square method we will carry out the following operations to the given equation to get a perfect square binomial.

We can write as:

$c^2+2.\frac{11}{2}c=12$

$c^2+2.\frac{11}{2}c+(\frac{11}{2})^2-(\frac{11}{2})^2=12$

$(c+\frac{11}{2})^2-(\frac{11}{2})^2=12$ [As $c^2+2.\frac{11}{2}c+(\frac{11}{2})^2=(c+\frac{11}{2})^2$ ]

Adding both sides by $(\frac{11}{2})^2$

$(c+\frac{11}{2})^2-(\frac{11}{2})^2+(\frac{11}{2})^2=12+(\frac{11}{2})^2$

$(c+\frac{11}{2})^2=12+\frac{121}{4}$

Taking LCD to add fraction.

$(c+\frac{11}{2})^2=\frac{48}{4}+\frac{121}{4}$

$(c+\frac{11}{2})^2=\frac{169}{4}$

Taking square root both sides.

$\sqrt{(c+\frac{11}{2})^2}=\sqrt{\frac{169}{4}}$

$c+\frac{11}{2}=\pm\frac{13}{2}$

Subtracting both sides by $\frac{11}{2}$ :

$c+\frac{11}{2}-\frac{11}{2}=\pm\frac{13}{2}-\frac{11}{2}$

$c=\pm\frac{13}{2}-\frac{11}{2}$

So, we have:

$c=\frac{13}{2}-\frac{11}{2}$ and $c=-\frac{13}{2}-\frac{11}{2}$

$c=\frac{2}{2}$ and $c=\frac{-24}{2}$

$c=1$ and $c=-12$ (Answer)

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4 years ago

A 7-pack of DVDs costs $31.71. What is the unit price?

Alekssandra [29.7K]

Answer: $4.53

Explanation:
7 dvds cost 31.71 so divide 31.71 by 7
31.71/7 = 4.53

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2 years ago

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alexdok [17]

Answer:

Step-by-step explanation:

5 + 4 + 3 − 8 + 7 − 6

= 9 + 3 − 8 + 7 − 6

= 12 − 8 + 7 − 6

= 4 + 7 − 6

= 11 − 6

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