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rewona [7]
1 year ago
9

Activating Schema: Draw the figure described below. Then solve for length PR. Right Triangle PQR with the following characterist

ics: PQ is perpendicular to PR, QR = 47 mm, and Angle Q = 52°
Mathematics
1 answer:
Marina CMI [18]1 year ago
6 0

The given triangle is

To solve for PR, we have to use the sine function which is equivalent to the ratio between the opposite leg and the hypothenuse.

\begin{gathered} \sin 52=\frac{PR}{47} \\ PR=47\cdot\sin 52 \\ PR\approx37.04 \end{gathered}<h2>Hence, PR is 37.04 mm long, approximately.</h2>

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The slope-intercept form of the equation of the line through the given point with the given slope is y=-4x+1.

The given coordinate point is (-1, 5) and slope=-4.

<h3>What is the slope intercept form?</h3>

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

Substitute (x, y)=(-1, 5) and m=-4 in standard form of the slope intercept form, we get

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Substitute m=-4 and c=1 in y=mx+c, we get

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Therefore, the slope-intercept form of the equation of the line through the given point with the given slope is y=-4x+1.

To learn more about the slope intercept form visit:

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