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3 years ago

Which is a equation of the line containing (1,-3)and(7,15)?

Mathematics

1 answer:

-BARSIC- [3]3 years ago

6 0

Slope = 18/6 = 3
Y-intercept = -6
Equation: y = 3x -6

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Graph the inverse circular function by hand, given f(x) = 3sin(2x) ;-pi/4 ≤ ≤pi/4

nasty-shy [4]

Part a)

a) The given function is

$f(x) = 3 \sin(2x)$

We let

$y = 3 \sin(2x)$

Interchange x and y.

$x= 3 \sin(2y)$

Solve for y;

$\frac{x}{3} = \sin(2y)$

$y = \frac{1}{2} { \sin}^{ - 1}( \frac{x}{3} )$

${f}^{ - 1}(x) = \frac{1}{2} { \sin}^{ - 1}( \frac{x}{3} )$

Part b) The range of f(x) refers to y-values for which f(x) exists.

The range of f(x) is

$- 3 \leqslant y \leqslant 3$

This is because the function is within y=-3 and y=3.

c) The range of

${f}^{ - 1} (x)$

$- \frac{ \pi}{4} \leqslant y \leqslant \frac{\pi}{4}$

The domain is -3≤x≤3

This is because the domain and range of a function and its inverse swaps.

Part d) The graph is shown in the attachment.

3 0

3 years ago

Complete the sentence.

melamori03 [73]

Please view my other solution I gave you.

But I will still answer this if you see it.

Because 0.8^x is never 0, then the asymptote is 0-10 or -10.

6 0

3 years ago

Read 2 more answers

If one line has a slope of 2/3, then the slope of a line parallel to it would be?

ipn [44]

-3/2

perpendicular slopes are those that are opposite sign and reciprocal of the original given slope

8 0

3 years ago

Which expression has a value of −10?

igomit [66]

Answer:

Step-by-step explanation:

8 0

3 years ago

Referring to triangle ABC, find the area of the triangle.

kondaur [170]

Answer:

$Area = 337$

Step-by-step explanation:

Given

$a = 42.5$

$c = 35.5$

$B = 153.5^\circ$

Required

Area of triangle

This is calculated as:

$Area = 0.5 *a* c * \sin(B)$

This gives:

$Area = 0.5 *42.5* 35.5 * \sin(153.5)$

$Area = 0.5 *42.5* 35.5 * 0.4462$

$Area = 336.602125$

$Area = 337$ --- approximated

4 0

3 years ago