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NISA [10]
1 year ago
9

Linear Relationships RetakeConsider the function f(x) and its transformation.f(x) = 5x + 1g(x) = f(x) + 6Write the equation in s

lope-intercept form for g(x).PLEASE HELP
Mathematics
1 answer:
zmey [24]1 year ago
5 0

Answer:

The equation in slope-intercept form is;

g(x)=5x+7

Explanation:

Given the function f(x);

f(x)=5x+1

And its transformation g(x);

g(x)=f(x)+6

To get the equation for g(x), let us substitute f(x) into the function g(x);

\begin{gathered} g(x)=f(x)+6 \\ g(x)=5x+1+6 \\ g(x)=5x+7 \end{gathered}

Therefore, the equation in slope-intercept form is;

g(x)=5x+7

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Which classification describes AMNO with vertices M(2, -3), N(3, 1), and<br> 0(-3, 1)?
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Answer:

Option D

Step-by-step explanation:

32). Given vertices of the triangle are M(2, -3), N(3, 1) and O(-3. 1).

Distance between two points (x_1,y_1) and (x_2,y_2) is given by the expression,

Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Distance between M(2, -3) and N(3, 1) will be,

MN = \sqrt{(3-2)^2+(1+3)^2}

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      = \sqrt{17}

Distance between M(2, -3) and O(-3, 1),

MO = \sqrt{(2+3)^2+(-3-1)^2}

      = \sqrt{25+16}

      = \sqrt{41}

Distance between N(3, 1) and O(-3, 1),

NO = \sqrt{(3+3)^2+(1-1)^2}

      = 6

Condition for right triangle,

c² = a² + b² [Here c is the longest side of the triangle]

By this property,

MO² = MN² + NO²

(\sqrt{41})^2=(\sqrt{17})^2+6^2

41 = 17 + 36

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False.

Therefore, given triangle is not a right triangle.

Since, length of all sides are not equal, given triangle will be a scalene triangle.

Option D is the correct option.

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