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3 years ago

the area of a desktop is represented by x^2 - 49. find the dimensions of the desktop in terms of x. show work please.

Mathematics

1 answer:

Levart [38]3 years ago

4 0

Answer:

The dimensions of the desktop are (x+7) units by (x-7) units

Step-by-step explanation:

we know that

The difference of squares is equal to

$a^2-b^2=(a+b)(a-b)$

we have

$x^2-49$

Remember that

$49=7^2$

substitute

$x^2-7^2$

Applying difference of squares

$x^2-7^2=(x+7)(x-7)$

therefore

The dimensions of the desktop are (x+7) units by (x-7) units

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Please solve and explain the question below

solong [7]

Answer:

OPTION A

Step-by-step explanation:

To find the table substitute the points on the given function and compare the values.

The given function is: $y = x^2 + 2$ .

OPTION A:

(i) When x = -2

LHS = y = 6.

RHS = (-2)² + 2 = 4 + 2 = 6.

LHS = RHS

(ii) When x = -1

LHS = y = 3

RHS = (-1)² + 2 = 1 + 2 = 3.

LHS = RHS

(iii) When x = 0

LHS = y = 2

RHS = 0² + 2 = 2.

LHS = RHS

(iv) When x = 1

LHS = y = 3

RHS = (1)² + 2 = 1 + 2 = 3.

LHS = RHS

(v) When x = 2

LHS = y = 6

RHS = (2)² + 2 = 4 + 2 = 6

LHS = RHS

OPTION B:

(i) When x = -2

LHS = y = -2

RHS = (-2)² + 2 = 6

LHS $\neq$ RHS

OPTION B is eliminated.

OPTION C:

(i) When x = -2

Using the same reason as OPTION B this option is eliminated as well.

So, OPTION A is the correct answer.

5 0

3 years ago

Round 9.42 to one decimal place

klasskru [66]

The answer would be 9

6 0

3 years ago

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There are 8 swimmers in the swimming club. The club bought c swimming caps to split among its members. Write an expression that

love history [14]

Answer:

c/8

Step-by-step explanation:

This is division. This can be figured out by reading "split". If something is to be split, it is the dividend.

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2 years ago

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Uzanne can work 10 math problems in 15 minutes. How many can she work in an hour and a half?

jeyben [28]

1 and half hour
= 60 minutes+ 30 minutes
= 90 minutes

Now,

Uzanne need 15 minutes to do 10 problems
Uzanne need 1 minute to complete 10/15 problems

Uzanne need 90 minutes to do
= (10/15)*90
=(2/3)*90
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4 0

3 years ago

If x= sin theta then x/√1-x^2 is

SCORPION-xisa [38]

Well,

Given that $x=\sin(\theta)$ ,

We can rewrite the equation like,

$\dfrac{\sin(\theta)}{\sqrt{1-\sin(\theta)^2}}$

Now use, $\cos(\theta)^2+\sin(\theta)^2=1$ which implies that $1-\sin(\theta)^2=\cos(\theta)^2$

That means that,

$\dfrac{\sin(\theta)}{\sqrt{1-\sin(\theta)^2}}\Longleftrightarrow\dfrac{\sin(\theta)}{\sqrt{\cos(\theta)^2}}$

By def $\sqrt{x^2}=x$ therefore $\sqrt{\cos(\theta)^2}=\cos(\theta)$

So the fraction now looks like,

$\dfrac{\sin(\theta)}{\cos(\theta)}$

Which is equal to the identity,

$\boxed{\tan(\theta)}=\dfrac{\sin(\theta)}{\cos(\theta)}$

Hope this helps.

r3t40

6 0

3 years ago

the area of a desktop is represented by x^2 - 49. find the dimensions of the desktop in terms of x. show work please.​

the area of a desktop is represented by x^2 - 49. find the dimensions of the desktop in terms of x. show work please.