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sergey [27]
3 years ago
6

(ab+cd)2 - (ac-bd)2 factorize 2 is power

Mathematics
1 answer:
Rudik [331]3 years ago
5 0

Answer:

(ab + cd + ac - bd)(ab + cd - ac + bd)

Step-by-step explanation:

(ab + cd)² - (ac - bd)² ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b)

Here a = ab + cd and b = ac - bd , then

= (ab + cd + ac - bd)(ab + cd - (ac - bd))

= (ab + cd + ac - bd)(ab + cd - ac + bd)

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Which angles are vertical angles in the figure shown? Select two answers.
sukhopar [10]

Answer:

B and C

Step-by-step explanation:

Vertical angles are formed when you make lines make an  x shape (or a turned x shape).  The vertical angles are, on a normally positioned x the top and bottom angle, as well as the left and right angle.  so every x has 2 vertcial angles unless the x is further split up.

So the part with angles 1. 2. 3 and 4 the top angle is 2, the bottom is 3, the left angle is 1 and the right angle is 4.  This means the vertical angle pairs are 1 and 4 as well as 2 and 3.

So in total there are 2 x shapes, so 4 pairs of vertical angles.  Here are all the vertical angles.

1 and 4

2 and 3

5 and 8

6 and 7

So from your choices you have 2 and 3 as choice B and 5 and 8 as choice C.

8 0
3 years ago
Which theorem would be used to write 15x + 12 + 117 = 180 in the diagram below?
Bumek [7]
I think that the theorem is the consecutive exterior angle theorem.
7 0
3 years ago
Read 2 more answers
A strip mall in Dallas has store space in several different sizes. There are eight 300-square-foot stores, one 800-square-foot s
Vesna [10]

Answer:

<em><u>Part 1:</u></em> "What is the ratio of vacant space to occupied space?"  \frac{6}{35}

<em><u>Part 2:</u></em> "What percent of the space is occupied?"  85.37%


Step-by-step explanation:


<u>1st part:</u>

Total square foot = (8*300) + (1*800) + (1*900) = 4100 sq. feet

Vacant Space = 2*300=600

Occupied Space = 4100 - 600 = 3500


Thus ratio of vacant space to occupied space = \frac{600}{3500}=\frac{6}{35}


<u>2nd part:</u>

To find % of occupied space, we need to divide occupied space (in sq ft.) by the <em>total square feet</em> and then multiply by 100 (since we want the percentage):

\frac{3500}{4100}=0.8537=85.37

Occupied space is 85.37%

7 0
4 years ago
ZA is a supplement of 2B. ZA is a complement of LC, and m2B= 124. Thus,<br> m2B + m2<br> degrees.
spayn [35]
Can’t get the answer what is m2?
8 0
3 years ago
Damon plans to buy a snowboard that cost $160. Damon has $40. He will save $20 each week until he has enough to buy the snowboar
Gekata [30.6K]

Answer:  It will take Damon 6 weeks to save the money he needs to buy the snowboard

Step-by-step explanation:

First, let's see what the problem is giving us:

-The variable X will represent the number of weeks it will take Damon to save the money he needs.

- Damon has $40

- Damon is going to safe $20 weekly

- The snowboard costs $160

Therefor:

Our equation will be:  $40 + $20X = $160

Step 1

We need to isolate the variable by subtracting in both sides of the equation 40 in order to maintain the equality.

40 - 40 + 20X = 160 - 40

This will let us with 20X = 120

Step 2

We have to isolate the variable again, but this time (because the variable is being multiplied by 20) we have to divide on both sides of the equation.

20X/20 = 120/20

Therefore: X=6

<u />

4 0
3 years ago
Read 2 more answers
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