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2 years ago

Write an equation in point-slope form for the line that passes through (–2, 1) with a slope of 1/4

Mathematics

1 answer:

Anna11 [10]2 years ago

5 0

Answer:

Step-by-step explanation:

The point-slope equation of the line that passes through the point (2,1) and has the slope 5 , is y−1=5(x−2) . The generic equation for point-slope form is y−y1=m(x−x1) , where m is the slope and x1 and y1 are the given point.

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Which equation is equivalent to -k+0.3+10.1k=-24.5-18.1k?

Vesnalui [34]

The answer is in the attachment

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3 years ago

Write 8.54x10^3 in standard notation

suter [353]

Answer: The real number is 8540

Step-by-step explanation: 85.4 1000

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3 years ago

If a study determines the difference in average salary for subpopulations of people with blue eyes and people with brown eyes is

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3 years ago

In ∆XYZ, m∠X = 152, y = 15, and z = 19. Find side x and the measure of angle Y to the nearest tenth

solong [7]

The measure of the side $x$ is approximately 33 and the measure of angle $Y$ is approximately 12.321°.

<h3>How to find a missing angle in a triangle by law of sine and law of cosine</h3>

In this problem we must apply the law of cosine and the law of sine to determine the angle Y:

<h3>Law of cosine</h3>

$x = \sqrt{y^{2}+z^{2}-2\cdot y\cdot z\cdot \cos X}$

$x = \sqrt{15^{2}+19^{2}-2\cdot (15)\cdot (19)\cdot \cos 152^{\circ}}$

$x \approx 33$

$\frac{\sin Y}{y} = \frac{\sin X}{x}$

$Y = \sin^{-1}\left(\frac{y}{x}\cdot \sin X \right)$

$Y = \sin^{-1}\left(\frac{15}{33}\cdot \sin 152^{\circ} \right)$

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The measure of the side $x$ is approximately 33 and the measure of angle $Y$ is approximately 12.321°. $\blacksquare$

To learn more on triangles, we kindly invite to check this verified question: brainly.com/question/25813512

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2 years ago

Find the exact circumference of a circle with the given radius. 5 inches C = 2.5π in. 10π in. 25π in.

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The circumference, C, of a given circle may be calculated through the equation,

C = 2πr

where r is the radius.

Substituting the known values from the given in this item,
C = 2(π)(5 in)
<em>C = 10π in</em>

Thus, the answer is this item is the second choice.

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2 years ago