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Digiron [165]
3 years ago
10

Explain the FOIL method when multiplying two binomials. Use the following example to

Mathematics
1 answer:
stiks02 [169]3 years ago
7 0

Answer:

6x²+7x-3

Step-by-step explanation:

(2x+3)(3x-1)

(2x)(3x)+(2x)(-1)+(3)(3x)+(3)(-1)

6x²-2x+9x-3

6x²+7x-3

Basically, what we are doing is taking 2x and distributing it to the 3x and -1. Then, we distribute the 3 to the 3x and -1. Add up these two totals and you have your expanded binomial.

FOIL means First, Outer, Inner, Last, so this makes sense.

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Triangle ABC is similar to triangle FGH.
alexgriva [62]

Answer: 22.5 cm

Step-by-step explanation:

Hope this helps you.

3 0
3 years ago
Please answer this question for brainliest!
Arlecino [84]

Answer:

B

Step-by-step explanation:

Because When you enlarge by 3x you get 1/3

8 0
3 years ago
Determine weather x^2-8x+64 is a perfect square trinomial justify your answer
NARA [144]
It's not a perfect square trinomial because it doesn't factor into one.
The square root of c-term 64 = 8
then the b-term coefficient would need to be -16 not -8.

x^2 - 16x + 64 = (x - 8)^2

you can also see this by calculating vertex. perfect squares have one solution which means the vertex of a perfect square trinomial is on the x-axis.
7 0
3 years ago
Suppose that $a$ is a positive integer for which the least common multiple of $a+1$ and $a-5$ is $10508$. What is $a^2 - 4a + 1$
Nana76 [90]

Answer:

21022.

Step-by-step explanation:

Find the prime factors of 10508:

2 ) 10508

2 ) 5254

37 ) 2627

       71.

50208 = 2*2*37*71.

Now there is no integer value for a that would fit  (a+ 1)(a - 5) = 10508 .

But we could try multiplying the LCM by 2:-

= 21016  = 2*2*2*37*71.

= 2*2*37 multiplied by 2 * 71

= 148 * 142.

That looks promising!!

a - 5 = 142 and

a + 1 = 148

This gives  2a - 4 = 290

2a = 294

a = 147.

So substituting a = 147 into a^2 - 4a + 1 we get:

= 21022.

4 0
4 years ago
Two partners are starting a wedding planning business. The total investment is $45,000. Their investments are in the ratio 4:5.
JulijaS [17]

Answer:

Hey there!

Think of 45000 being split to 9 pieces.

Each piece would be 5000 dollars.

Thus, the ratio would be 20000 to 25000

Hope this helps :)

7 0
3 years ago
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