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3 years ago

An abtuse angle measures 180 degrees

Mathematics

1 answer:

wlad13 [49]3 years ago

7 0

Answer:

A obtuse angle measures 180 degrees

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What are the coordinates of the hole in the graph of the function f(x) ?

Vinvika [58]

ANSWER

$(3, \infty )$

EXPLANATION

The given function is

$f(x) = \frac{ {x}^{2} - 9}{x - 3}$

When we plug in x=3 into this function, we obtain,

$f(3) = \frac{0}{0}$

This means that the function is discontinuous at x=3.

We need to simplify the function to obtain,

$f(x) = \frac{(x - 3)(x + 3)}{(x - 3)}$

This implies that,

$f(x) = x + 3$

The graph this function is a straight line that is continuous everywhere.

To graph

$f(x) = \frac{ {x}^{2} - 9}{x - 3}$
we draw the graph of

$f(x) = x + 3$
and leave a hole at x=3.

See diagram in attachment.

Hence the coordinates of hole is

$(3, \infty )$

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3 years ago

What is the slope-intercept form of the equation of the line that passes through the points (−3, 2) and (1, 5)?

IceJOKER [234]

Answer:

y = 3/4x + 17/4

Step-by-step explanation:

Step 1: Find slope m

m = (5 - 2)/(1 + 3)

m = 3/4

y = 3/4x + b

Step 2: Find b

5 = 3/4(1) + b

5 = 3/4 + b

b = 17/4

Step 3: Rewrite equation

y = 3/4x + 17/4

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3 years ago

Read 2 more answers

Simplify. -12 + (-2)(3)

sammy [17]

Answer:

-18

Step-by-step explanation:

-12 + (-2)(3)

= (-12)+((-2)x(3))

= (-12)+(-6)

= (-12)-(6)

= -18

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Approx. 5 miles I would say give or take the 1/2 mile shortcut by taking a straight path back to the house. I don't know if you need an exact distance but I hope this helps.

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Ulleksa [173]

Answer:

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