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Sunny_sXe [5.5K]
3 years ago
15

Can someone help me with these algebraic expressions? And can you please EXPLAIN OR SHOW YOUR WORK!

Mathematics
1 answer:
lyudmila [28]3 years ago
4 0

Answer:

1.  (3x - 2)(x + 5).

2. 2(x + 4)(x - 2).

3. (2x - 9)(2x + 9).

Step-by-step explanation:

1. f(x) = 3x^2 +13x -10

Try to factor by the ac method:

3 * -10 = -30

We need 2 numbers whose product is -30 and whose sum is + 13.

They are -2 and +15, so we write:

3x^2 + 15x - 2x - 10       Factor by grouping:

= 3x(x + 5) - 2(x + 5)

= (3x - 2)(x + 5).

2.  f(x) = 2x^2+4x-16

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

Now we need 2 numbers whose product is -8 and whose sum is + 2.

They are +4 and -2. So:

= 2(x + 4)(x - 2).

3. 4x^2 - 81    This is the difference of 2 squares so the factors are:

(2x - 9)(2x + 9).

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Answer:

The measure of the three angles are;

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Step-by-step explanation:

The given information are;

The shape of the parking lot = Triangular

Let the angles of the triangle be given as follows

First angle = A

Second angle = B

Third angle = C

The given triangle interior angle dimensions are;

A = 6 + 2× B

C = A + B

However, we have;

A + B + C = 180° (Angle sum property for a triangle)

Therefore;

A + B + C = 180° gives;

C + C = 180° (Transitive property)

2·C = 180°

C = 180°/2 = 90°

C = 90°

However, C = A + B  therefore;

90° = A + B and, A = 6 + 2 × B, we get;

A + B = 90° (Symmetric property)

6 + 2× B + B = 90° (Substitution property)

6 + 3·B = 90°

3·B = 90° - 6° = 84°

B = 84°/3 = 28°

B = 28°

From, A = 6 + 2 × B, we have;

A = 6 + 2 × 28° = 62°

A = 62°

First angle = A = 62°

Second angle = B = 28°

Third angle = C = 90°

The measure of the three angles are;

First angle is 62°

Second angle is 28°

Third angle is 90°.

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Answer:

Step-by-step explanation:

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The answer is 2 bc I got it right on a quiz
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Answer:

The measure of the third angle is equal to 34°

Step-by-step explanation:

Given that,

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x+146=180

x = 180-146

x = 34°

So, the measure of the third angle is equal to 34°.

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