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Sidana [21]
3 years ago
10

Foil (x+9)(3x-4) I have been stuck for ever

Mathematics
1 answer:
Bess [88]3 years ago
4 0

Answer:

3x^2+23x-36

Step-by-step explanation:

The foil method is used when multiplying 2 binomials. One is (x+9) and another is (3x-4). The steps of FOIL are:

  1. Multiply the first terms
  2. Multiply the outer terms
  3. Multiply the inner terms
  4. Multiply the last terms
  5. Combine like terms

Let's do the steps on our problem:

1. multiply x and 3x. So we have x * 3x = 3x^2

2. multiply x and -4. So we have x * -4 = -4x

3. Multiply 9 and 3x. So we have 27x

4. Multiply 9 and -4. So we have -36

Listing the terms, we have:  3x^2 -4x + 27x - 36

We combine like terms and have:  3x^2 + 23x - 36

That's our answer.

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6 0
3 years ago
The hypotenuse of a right triangle is 37 units long. Find the other two sides if the perimeter of the triangle is 84 units. Sepa
taurus [48]

Answer:

The lengths of the legs are 12 and 35 units

Step-by-step explanation:

Let c represent the hypotenuse and a and b represent the legs.  Then the Pythagorean Theorem requires that a^2 + b^2 = c^2 = 37^2 = Hypotenuse^2

Also:  a + b + c = Perimeter = 84 units.  

Since c = 37 units, a + b + 37 units = 84 units, or a + b = 47 units, or a = 47 - b.

Then a^2 + b^2 = 37^2 becomes (47 - b)^2 + b^2 = 37^2, or 1369.  Therefore:

2209 - 94b + b^2 + b^2 = 1369.

Simplifying by combining like terms, we get:  

840 - 94b + 2b^2 = 0, which is a quadratic equation in standard form.

Reducing all terms by division by 2, we get:

420 - 47b + b^2 = 0.  Here the coefficients are a = 1, b = -47 and c = 420.

The discriminant is therefore b^2 - 4ac, or 529, whose square root is ± 23.

Then the b values of this quadratic in b are

      47 ± 23

b = -------------- , so that b is either 35 or 12

             2

and then side a has length a = 47 - b = 12  or  35.

Thus, a = 12 and b = 35, and c is given:  37.

Check:  Is 12^2 + 35^2 = 37^2 true?  Is 144 + 1225 = 1369?  YES

The lengths of the legs are 12 and 35 units.

7 0
2 years ago
Please help me with this one
Burka [1]
What is the question
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3 years ago
I am a number between 20 and 30. When you divide me into 6 equal groups, there is an even number in each group and 2 are left ov
elena55 [62]
26, 26 is the answer. Because u divided by 6 and that gives u 4 with a Remainder of 2
3 0
2 years ago
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