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seraphim [82]
3 years ago
9

The polynomial is a difference of perfect squares. Use the formula a2 – b2 = (a + b)(a – b) to factor completely. 81x2 – 49 The

value of a is . The value of b is . The product of the prime factors is .
Mathematics
2 answers:
ollegr [7]3 years ago
5 0
<span>81x2</span> as <span><span>(9x)</span>2</span>.<span><span><span>(9x)</span>2</span>−49

</span>Make 49 as 72.<span><span><span>(9x)</span>2</span><span>−72</span></span> 

<span><span>a2<span>−b2</span></span>=<span><span>(a+b)</span><span>(<span>a−b</span>)</span></span></span> 

when 
<span>a=9x</span> and b=7.<span><span>(<span>9x+7</span>)</span><span>(<span>9x−7</span>)</span></span>
Mekhanik [1.2K]3 years ago
5 0

Answer: (Like pretty much all of my other answers, this is late, but for anyone else that needs it.)

The value of a is 9x

The value of b is 7

The product of the prime factors is (9x-7)(9x+7)

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Which of the following expressions represents the least common multiple of 15, 18, and 25?
Virty [35]

Answer:

(2)(3^2)(5^2)

Step-by-step explanation:

we know that

The <u>Least Common Multiple</u> (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers.

we have

15,18 and 25

Decompose the numbers in prime factors

15=(3)(5)

18=(2)(3^2)

25=(5^2)

Multiply common and uncommon numbers with their greatest exponent

so

The LCM is equal to

LCM=(2)(3^2)(5^2)

LCM=450

7 0
3 years ago
Bev has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area
Kobotan [32]

Answer:

Step-by-step explanation:

Area of 19 by 29 rectangle = 551 sq ft

White space:

Area of large triangle = 0.5*15^2 = 112.5 sq ft

Area of 15 by 14 rectangle = 210 sq ft

Area of small triangle = 0.5*4^2 = 8 sq ft

Shaded area = 551 - 112.5 - 210 - 8 = 220.5 sq ft

4 0
3 years ago
Why does the shape of the moon appear to change over the course of about a month? (2 points)
kirill [66]
B. The sun is lighting up different amounts of the moon
5 0
2 years ago
8) BRAINLIEST AND 15 POINTS! PLS HELP ASAP
algol13

Answer:

a.) Between 0.5 and 3 seconds.

Step-by-step explanation:

So I just went ahead and graphed this quadratic on Desmos so you could have an idea of what this looks like. A negative quadratic, and we're trying to find when the graph's y-values are greater than 26.

If you look at the graph, you can easily see that the quadratic crosses y = 26 at x-values 0.5 and 3. And, you can see that the quadratic's graph is actually above y = 26 between these two values, 0.5 and 3.

Because we know that the quadratic's graph models the projectile's motion, we can conclude that the projectile will also be above 26 feet between 0.5 and 3 seconds.

So, the answer is a.) between 0.5 and 3 seconds.

4 0
3 years ago
Which of the binomials below is a factor of this trinomial?
Elina [12.6K]
STEP-BY-STEP SOLUTION:

= x^2 - 13x + 30

= x^2 - 10x - 3x + 30

= x ( x - 10 ) - 3 ( x - 10 )

= ( x - 10 ) ( x - 3 )

FINAL ANSWER:

Therefore, the answer is:

C. x - 10

Please mark as brainliest if you found this helpful! :)
Thank you and have a lovely day! <3
6 0
3 years ago
Read 2 more answers
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