All categories

3 years ago

Which of the following shows how the number 7 can be rewritten with the difference of squares identity?

1 answer:

4 0

If we let x and y be the two numbers such that the difference of their squares will give 7, we have the equation,
x^2 - y^2 = (x + y)(x - y) = 7
From the given choices, the squares are 16 and 9 which are squares of 4 and 3, respectively. Therefore,
16 - 9 = (4 + 3)(4 - 3) = 7
Thus, the answer is letter A.

You might be interested in

PLEASE HELP

zaharov [31]

Answer: $85.38

Step-by-step explanation:

67.95 - 60% + 7% = $67.42

18.49 - 60% + 7% = 17.96

67.42 + 17.96 = $85.38

5 0

3 years ago

Please help, thanks! Ok so, you pick a card at random, put it back, and then pick another card at random. There are FIVE cards a

tatyana61 [14]

Answer:

$P(x > 1\ and\ x < 2) = \frac{4}{25}$

Step-by-step explanation:

Given

$S = \{1,2,3,4,5\}$

$n(S) = 5$

Required

$P(x > 1\ and\ x < 2)$

$P(x > 1\ and\ x < 2)$ is calculated as:

$P(x > 1\ and\ x < 2) = P(x > 1) * P(x < 2)$

Since it is a probability with replacement, we have:

$P(x > 1\ and\ x < 2) = \frac{n(x > 1)}{n(S)} * \frac{n(x < 2)}{n(S)}$

For x > 1, we have:

$x > 1 = \{2,3,4,5\}\\$

$n(x > 1) = 4$

For x < 2, we have:

$x < 2 = \{1\}$

$n(x < 2) = 1$

$P(x > 1\ and\ x < 2) = \frac{n(x > 1)}{n(S)} * \frac{n(x < 2)}{n(S)}$

becomes

$P(x > 1\ and\ x < 2) = \frac{4}{5} * \frac{1}{5}$

$P(x > 1\ and\ x < 2) = \frac{4}{25}$

6 0

3 years ago

[ Please help! ] Choose the equation that represents the graph below.

Kitty [74]

The line crosses the x -axis at point (9,0) and the y-axis at point (0,6).

If the equation of the line is $y=kx+b,$ then substitute the coordinates of the points into this equation:

1) $0=9k+b;$

2) $6=b.$

Substitute the second equation into the first:

$9k+6=0,\\ \\k=-\dfrac{2}{3}.$

The equation of the line is

$y=-\dfrac{2}{3}x+6.$

Answer: option C

8 0

3 years ago

The cylinder shown here has a height of 7 centimeters and a radius of 4 centimeters. what is the area of the base of the cylinde

Inessa [10]

Answer:

Step-by-step explanation:

The base of a cylinder is a circle. The equation to find the area of a circle is A=r^2. A is the area, r is the radius. So, first r squared. 4 times 4 is 16. Then you multiply 16 times , and end up with 16.

3 0

3 years ago

Which two-bedroom will cost the most to rent monthly assume that electric is $50 and gas is $69?

Elan Coil [88]

The answer is B. The Hometown Apts. will cost more than the Downtown Apts. The 2 bedroom in Downtown Apts. has a total monthly rent of $620, electric and gas is already included on this. Meanwhile, the Hometown Apts. has a monthly rent of $515 plus the $50 for electric and gas is $69. The total monthly rent for Hometown Apts. is $634

4 0

3 years ago