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wariber [46]
3 years ago
13

If the coordinates of a and b are (14,-1) and (2,1), respectively,the y-intercept of A B

Mathematics
1 answer:
mixer [17]3 years ago
5 0

Answer:

<em>m = -1/6</em>

<em>b = 4/3</em>

Step-by-step explanation:

Use the slope formula and the slope-intercept form to find the slope <em>m</em> and y-intercept <em>y</em>.

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Let f ( ) sin(arctan ) x x = . What is the range of f ?
nikklg [1K]
<span>So you have composed two functions,
</span><span>h(x)=sin(x) and g(x)=arctan(x)</span>
<span>→f=h∘g</span><span>
meaning
</span><span>f(x)=h(g(x))</span>
<span>g:R→<span>[<span>−1;1</span>]</span></span>
<span>h:R→[−<span>π2</span>;<span>π2</span>]</span><span>
And since
</span><span>[−1;1]∈R→f is defined ∀x∈R</span><span>

And since arctan(x) is strictly increasing and continuous in [-1;1] ,
</span><span>h(g(]−∞;∞[))=h([−1;1])=[arctan(−1);arctan(1)]</span><span>
Meaning
</span><span>f:R→[arctan(−1);arctan(1)]=[−<span>π4</span>;<span>π4</span>]</span><span>
so there's your domain</span>
5 0
3 years ago
Find the area of the following ellipse (round to nearest tenth).
goblinko [34]

Answer:

\huge\boxed{A=60\pi cm^2}

Step-by-step explanation:

The formula of an area of a elipse:

A=\pi ab

We have:

2a=10cm\to a=5cm\\\\2b=24cm\to b=12cm

Substitute:

A=\pi\dot5\cdot12=60\pi(cm^2)

8 0
2 years ago
Fred runs 4 laps around a track in 6 minutes. How many minutes per lap is that? How many laps per minute?
denis-greek [22]

Answer:

0.67 Laps per minute

Step-by-step explanation:

4 Laps over 6 Minutes

4/6 = 0.67

8 0
2 years ago
How many sides does a polygon have if the sum of the measures of the interior angles is 5940
frutty [35]

Answer:

Sorry for my handwriting

5 0
2 years ago
Read 2 more answers
How do i use long division? its hard for me...
Sergio039 [100]
Divide across and just bring down the numbers
3 0
3 years ago
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