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Rama09 [41]
3 years ago
15

What is the equation of the linear function written in slope-intercept form?

Mathematics
1 answer:
-Dominant- [34]3 years ago
3 0

Answer:

<h2>f(x) = -3x - 1</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

f(x)=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept, (0, b)</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

From the graph we have two points <em>A(-1, 2)</em> and <em>B(0, -1) → b = -1</em>.

Calculate the slope:

m=\dfrac{-1-2}{0-(-1)}=\dfrac{-3}{1}=-3

Finally:

f(x)=-3x-1

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Answer:

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Step-by-step explanation:

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Emily says she can prove the Pythagorean Theorem using the following diagram. She explains that she can divide the squares on th
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Answer:

The last bit is correct, a2 + b2 = c2 for all right triangles? You do not divide the measurements you can only add up the squares to find the square of the hypotenuse as the sum, and then square root the totaled squares back to a new number. It does not cover the area like the statement said so only the question is true as Pythagoras theorem can be used to find a missing side or to find the missing hypotenuse.

Step-by-step explanation:

Is this a valid geometrical proof that a2 + b2 = c2 for all right triangles?

Answer yes but only for c2 if we area adding.

This is because if we were looking and missing for a smaller side to the triangle measure and was already given the hypotenuse as one measure, then we can subtract either given alternative side would be; c2 - b2 = a2 to find an alternative side we subtract.

and c2- b2 = a2 works the same as c2 -a2 = b2.

None of the above formula finds the area, for the area we would need to multiply to find the height.

A = 1/2 x a x b

We have a different understanding to area

The area of a triangle is 1/2 given by the equation:

AΔ=(1/2)∗(base)∗(height) which is the smae as A= 1/2 x a x b

Eg)

Given: Measurements of A + B In attachment picture.

A = 3 cm

B = 4 cm

What is the area of the right triangle ABC?

Since the base leg of the given triangle is 4 cm, while the height is 3 cm, this gives:

AΔ=(1/2)∗3∗4=6cm2

So to find area we multiply A by 1/2 and multiply that product by the length of B (base).

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3 years ago
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The last two easy transformations involve flipping functions upside down (flipping them around the x-axis), and mirroring them in the y-axis.

The first, flipping upside down, is found by taking the negative of the original function; that is, the rule for this transformation is –f (x).

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Answer: The answer is 81.

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3 years ago
Which expressions are equal to a(6−2a) ?Select each correct answer.
marysya [2.9K]

Answer: e. 6a-2a^{2}


Step-by-step explanation:

1. You have the following expression given in the problem:

a(6-2a)

2. To solve the exercise and find an equal expression, you must simplify that expression. Apply the Distributive property. Multiply the terms inside the parentheses by a. Then, you obtain:

a(6-2a)=(a)(6)-(a)(2a)=6a-2a^{2}


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