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olga2289 [7]
3 years ago
11

Sample Work Help Needed! Please answer these questions and show the steps used to solve them. NO DECIMAL ANSWERS (except on thre

e)
Simplify.
1. (-2x3y4)(5x9y-2)

Simplify. Write in Scientific Notation
2. 8(32 x 1011)

Multiply.
3. (3x – 1)(5x + 4)

Factor.
4. 8x2 + 2x - 3
Mathematics
1 answer:
anygoal [31]3 years ago
8 0

1. Using the exponent rule (a^b)·(a^c) = a^(b+c) ...

\left(-2x^3y^4\right)\left(5x^9y^{-2}\right)=(-2)(5)\left(x^{(3+9)}y^{(4-2)}\right)\\\\=-10x^{12}y^{2}

Simplify. Write in Scientific Notation

2. You know that 256 = 2.56·100 = 2.56·10². After that, we use the same rule for exponents as above.

8 \left(32\times 10^{11}\right)=(8)(32)\times 10^{11}=256\times 10^{11}=2.56\times 10^{13}

3. The distributive property is useful for this.

(3x – 1)(5x + 4) = (3x)(5x + 4) – 1(5x + 4)

... = 15x² +12x – 5x –4

... = 15x² +7x -4

4. Look for factors of 8·(-3) = -24 that add to give 2, the x-coefficient.

-24 = -1×24 = -2×12 = -3×8 = -4×6

The last pair of factors adds to give 2. Now we can write

... (8x -4)(8x +6)/8 . . . . . where each of the instances of 8 is an instance of the coefficient of x² in the original expression. Factoring 4 from the first factor and 2 from the second factor gives

... (2x -1)(4x +3) . . . . . the factorization you require

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I need help ASAP thanks!!
Genrish500 [490]

Theorem

The measure of an exterior angle of a triangle equals the sum of measures of the remote interior angles.


Angle STV is an exterior angle of triangle SRT.

The two remote interior angles to exterior angle STV are angles S and R.

Since the triangle is isosceles, with sides ST and TR equal, angles S and R are equal, so they both measure 27 deg.


<STV = 27 + 27


<STV = 54

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Answer:

I can't help.

Step-by-step explanation:

There is no question, so therefore, I can not help.

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