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2 years ago

7

Pam wants to lose some weight. She currently Weighs 225 lbs. if she loses 1.5 lbs per week, how many weeks will it take her to r

each a goal of at most 150 lbs?

1 answer:

Bumek [7]2 years ago

8 0

Answer:

50 weeks

Step-by-step explanation:

Look at the picture for explanation.

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(i) Write the expansion of (x + y)² and (x - y)². (ii) Find (x + y)² - (x - y)² (iii) Write 12 as the difference of two perfect

zaharov [31]

Answer:

1a (x + y)² = x² + 2xy + y²

1b. (x - y)² = x² - 2xy + y²

2. (x + y)² - (x - y)² = 4xy

3. 4² – 2² = 12

Step-by-step explanation:

1a. Expansion of (x + y)²

(x + y)² = (x + y)(x + y)

(x + y)² = x(x + y) + y(x + y)

(x + y)² = x² + xy + xy + y²

(x + y)² = x² + 2xy + y²

1b. Expansion of (x - y)²

(x - y)² = (x - y)(x - y)

(x - y)² = x(x - y) - y(x - y)

(x - y)² = x² - xy - xy + y²

(x - y)² = x² - 2xy + y²

2. Determination of (x + y)² - (x - y)²

This can be obtained as follow

(x + y)² = x² + 2xy + y²

(x - y)² = x² - 2xy + y²

(x + y)² - (x - y)² = x² + 2xy + y² - (x² - 2xy + y²)

= x² + 2xy + y² - x² + 2xy - y²

= x² - x² + 2xy + 2xy + y² - y²

= 2xy + 2xy

= 4xy

(x + y)² - (x - y)² = 4xy

3. Writing 12 as the difference of two perfect square.

To do this, we shall subtract 12 from a perfect square to obtain a number which has a perfect square root.

We'll begin by 4

4² – 12

16 – 12 = 4

Find the square root of 4

√4 = 2

4 has a square root of 2.

Thus,

4² – 12 = 4

4² – 12 = 2²

Rearrange

4² – 2² = 12

Therefore, 12 as a difference of two perfect square is 4² – 2²

7 0

3 years ago

Need help with this please and thanks :)

OLEGan [10]

Answer:

The value of Cos(01) is 0.866 or √3/2

Step-by-step explanation:

7 0

2 years ago

What is the domain of f(x) = √x – 4 over the set of real numbers?

nikklg [1K]

Answer:

<u>(2) x </u> $\geq \\$ <u> 4</u>

Step-by-step explanation:

Given the sqrt(x), x $\geq \\$ zero

So, given sqrt(x -4), x -4 $\geq \\$ 0

Now solve for x

x - 4 $\geq \\$ 0

x $\geq \\$ 4

6 0

2 years ago

I need help on 16,17,18,19 please

aev [14]

Answer:

Obtuse stb stb a ad

Step-by-step explanation:

5 0

3 years ago

In triangle ABC, point D is the centroid, and BD = 6. Find BE.

pshichka [43]

Given:

In triangle ABC, point D is the centroid, and BD = 6.

To find:

The measure of side BE.

Solution:

We know that the centroid divides each median in 2:1.

In the given figure BE is a median and point D is the centroid. It means point D divides the segment BE in 2:1.

Let BD and DE are 2x and x respectively.

We have, BD = 6 units.

$2x=6$

$x=\dfrac{6}{2}$

$x=3$

Now,

$BE=BD+DE$

$BE=6+x$

$BE=6+3$

$BE=9$

Therefore, the measure of side BE is 9 units.

6 0

3 years ago