3 years ago

Which is an equation of a direct proportion? y=16x+6 y=6x y=6x−6 y=6x

1 answer:

5 0

The model for direct proportion is y = mx. Note that there is no "offset," no "y-intercept."

y = 6x represents direct proportion with a constant of proportionality 6. The other 2 choices are disqualified because of offset +6 or -6.

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In ΔQRS, the measure of ∠S=90°, the measure of ∠R=29°, and SQ = 5.8 feet. Find the length of RS to the nearest tenth of a foot.

taurus [48]

Answer:

10.5 ft

Step-by-step explanation:

In ΔQRS,

m∠S=90°
m∠R=29°,
SQ = 5.8 feet.

See the diagram below.

The triangle is a Right Triangle,

Using trigonometric ratios,

$Tan R=\dfrac{|SQ|}{|RS|} \\Tan 29^\circ=\dfrac{5.8}{|RS|}\\$Cross multiply$\\|RS|XTan 29^\circ=5.8\\|RS|=\dfrac{5.8}{Tan 29^\circ}\\$=10.5 ft (to the nearest tenth of a foot)$

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