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elena-14-01-66 [18.8K]
2 years ago
14

What is the product of a 3 and −2a2 15a 6b2? −2a3 9a2 45a 24b2 −2a3 21a2 45a 24b2 −2a3 9a2 45a 6ab2 18b2 −2a3 21a2 45a 6ab2 18b2

Mathematics
1 answer:
GalinKa [24]2 years ago
8 0

The product of the two equation in which one has single power of variable and another one has the highest power of variable two, is -2a³+9a²+45a+6ab²+18b².

<h3>What is the product?</h3>

Product is the resultant number which is obtained by multiplying a number with another. Let a number a is multiplied by number b. Then the Product of these two number will be,

p=a\times b

Here, (<em>a, b</em>) are the real numbers.

The binomial equation given in the problem is,

a+ 3

The second equation given in the problem is,

-2a^2 +15a+ 6b^2

The product of these two equations are,

p=(a+3)\times (-2a^2 +15a+ 6b^2)\\p=-2a^3+15a^2+6ab^2-6a^2+45a+18b^2\\p=-2a^3+9a^2+45a+6ab^2+18b^2

Thus, the product of the two equation in which one has single power of variable and another one has the highest power of variable two, is -2a³+9a²+45a+6ab²+18b².

Learn more about the product here;

brainly.com/question/10005040

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Triangle XYZ, with vertices X(-2, 0), Y(-2, -1), and Z(-5, -2), undergoes a transformation to form triangle X′Y′Z′, with vertice
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<h2>Answer with explanation:</h2>

1)

The vertices of X,Y and Z are:

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Now, when X,Y and Z are translated by using the translation transformation:

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Then we obtain the transformation:    

X(-2, 0) → X′(4, -2)

Y(-2, -1) → Y′(4, -3)

Z(-5, -2) →  Z′(1, -4)

The type of transformation that triangle XYZ undergoes is a translation transformation by the rule:   (x,y) → (x+6,y-2)

2)

Next when we reflect the triangle X'Y'Z' across the x-axis then we obtain X"Y"Z"

Since, the rule that follow on reflecting across x-axis is:

           (x,y) → (x,-y)

Hence, we get:

X′(4, -2) → X″(4, 2)

Y′(4, -3) →  Y″(4, 3)

Z′(1, -4) → Z″(1, 4)

Hence, the type of transformation that triangle X′Y′Z′ undergoes is a reflection transformation (on reflecting across x-axis)

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Find the zeros of the function and state their multiplicities. y=x^4-8x^2+16
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Sarah owns a book store. She is planning to stock some books by a famous author. But she has a tight budget, and she is not sure
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6 0
3 years ago
Tom's and Tim's ages add up to 21 years. In 3 years, Tom will be twice Tim’s age. How old are they now? A. Tom is 15, and Tim is
Ierofanga [76]

Answer:

<em>A. Tom is 15, and Tim is 6.</em>

Step-by-step explanation:

<em>Method A: Use the choices to find the answer</em>

Since you are given choices, you can try each choice until you see that one of the choices works.

Try choice A.

Ages now: 15 + 6 = 21 (This checks out.)

Ages in 3 years: Tom 15 + 3; Tim 6 + 3

(15 + 3)/(6 + 3) = 18/9 = 2 (This also checks out.)

The first choice works, so the answer is A.

<em>Method B: Write an equation to solve the problem</em>

Let Tom's age now = t.

Their ages add to 21, so Tim's age now is 21 - t.

In 3 years, Tom's age will be t + 3, and Tim's age will be 24 - t.

In 3 years, Tom's age will be twice Tim's age:

t + 3 = 2(24 - t)

t + 3 = 48 - 2t

3t = 45

t = 15

Tom's age is 15.

Tim's age is 21 - 15 = 6.

Tim's age is 6.

6 0
4 years ago
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