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4 years ago

The graph of the line y=4 is a

Mathematics

2 answers:

kodGreya [7K]4 years ago

8 0

Answer:

B) Horizontal line with a slope of zero.

Step-by-step explanation:

If y = 4, it never changes.

Slope = Δy/Δx, but Δy = 0, so slope = 0.

A is wrong. A vertical line has an undefined slope.

C is wrong because the line is horizontal.

D is wrong because a horizontal line has a zero slope.

The diagram shows that the graph of y=4 is a horizontal line with a slope of zero.

Roman55 [17]4 years ago

5 0

Answer is b hope this helped you

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Answer:

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Step-by-step explanation:

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mote1985 [20]

Answer:

$sin(2\theta)=\frac{\sqrt{35} }{18}$

Step-by-step explanation:

Recall the formula for the sine of the double angle:

$sin(2\theta)=2*sin(\theta)*cos(\theta)$

we know that $cos(\theta)=\frac{3}{18}$ , and that $\theta$ is in the interval between 0 and 90 degrees, where both the functions sine and cosine are non-negative numbers. Based on such, we can find using the Pythagorean trigonometric property that relates sine and cosine of the same angle, what $sin(\theta)$ is:

$cos^2(\theta)+sin^2(\theta)=1\\sin^2(\theta)=1-cos^2(\theta)\\sin(\theta)=\sqrt{1-cos^2(\theta)} \\sin(\theta)=\sqrt{1-(\frac{3}{18} )^2}\\sin(\theta)=\sqrt{1-\frac{9}{324} }\\sin(\theta)=\sqrt{\frac{324-9}{324} }\\sin(\theta)=\sqrt{\frac{315}{324} }\\\\sin(\theta)=\frac{3}{18}\sqrt{35 }$

With this information, we can now complete the value of the sine of the double angle requested:

$sin(2\theta)=2*sin(\theta)*cos(\theta)\\sin(2\theta)=2*\frac{3}{18} \,\sqrt{35} \,\frac{3}{18}\\sin(2\theta)=\frac{2*3*3}{18*18}\,\sqrt{35} \\sin(2\theta)=\frac{\sqrt{35} }{18}$

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Answer:

Step-by-step explanation:

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Keith_Richards [23]

Answer:

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Step-by-step explanation:

✓ 8²+3² = ✓ 73 or approximately 8.54

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