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mr_godi [17]
4 years ago
12

Whats the exanded expression for -7(k-3)

Mathematics
1 answer:
gizmo_the_mogwai [7]4 years ago
4 0

Answer:

-7k+21

Step-by-step explanation:

<em>Distributive Property:</em>

<em>     ↓</em>

<em>A(B+C)=AB+AC</em>

<em />

<em>A=-7, B=K, and C=3</em>

<em />

<em>-7k+7*3</em>

<em />

<em>Multiply by the numbers from left to right to find the answer.</em>

<em />

<em>7*3=21</em>

<em>-7k+21 is the correct answer.</em>

<em />

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Write an equation in which the quadratic expression 4x^2-26x+42 equals 0. Must show all work to receive credit.
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Answer:

(a) (x + 3)(2x + 7) = 0

(b) These solutions mean that for these two x values, f(x) is equal to 0. It's also where the graph of f(x) crosses the x-axis.

Step-by-step explanation:

(a) We set 4x² -26x + 42 equal to 0:

4x² -26x + 42 = 0

Let's divide both sides by 2 to simplify this a bit:

2x² - 13x + 21 = 0

Now, we need factors a and b of 2 and c and d of 21 such that ac + bd = -13. The factors of 2 are: 1 and 2, so let's say a = 1 and b = 2. The factors of 21 are: (1, 21), (3, 7), (-1, -21), and (-3, -7). We see that if c = -7 and d = -3, this works:

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So, the factored form is:

(x - (-3))(2x - (-7)) = 0

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(b) So now we need to solve this. Set each of the two parenthetical expressions equal to 0:

x + 3 = 0

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These solutions mean that for these two x values, f(x) is equal to 0. It's also where the graph of f(x) crosses the x-axis.

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a is adjacent, b is opposite, and c is the hypotenuse that correctly describes the locations of the sides in relation to Y.Option D is correct,

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

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

The complete question is

"Given right triangle XYZ, which correctly describes the locations of the sides in relation to Y?

a is opposite, b is adjacent, c is the hypotenuse

a is the hypotenuse, b is opposite, c is adjacent

a is adjacent, b is the hypotenuse, c is opposite

a is adjacent, bis opposite, c is the hypotenuse"

Refer to the attached file for a clear understanding.

The positions of the sides in regard to Y are described by the terms and are adjacent, b is opposite, and c is the hypotenuse.

Hence the correct answer is D.

To learn more about the triangle, refer to:

brainly.com/question/2773823

#SPJ1

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