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3 years ago

A line passes through the point (2, 7) and has a slope of 4. What is the equation of the line?

Mathematics

2 answers:

LekaFEV [45]3 years ago

7 0

Answer:

y=4x-1

Step-by-step explanation:

Remember the point slope form equation y-y1=m(x-x1) where m is the slope and the given point is (x1,y1)

y-7=4(x-2) . Plug in the numbers for the equation

y-7=4x-8 distributive property

y = 4x-1

Sergeeva-Olga [200]3 years ago

7 0

Y=4x-1 is the equation that passes through (2,7)

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Michelle buys a rug for $36 and sells it for $90. What was the value of her markup, expressed as a percent?

Rama09 [41]

Her markup was about 60%.

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4 years ago

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Root 3 cosec140° - sec140°=4 prove that

Lorico [155]

Answer:

Step-by-step explanation:

We are to show that $\sqrt{3} cosec140^{0} - sec140^{0} = 4\\$

Proof:

From trigonometry identity;

$cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}$

$\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\$

From trigonometry, 2sinAcosA = Sin2A

$= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\= \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2 \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}$

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

$\frac{4(sin(420-140)) }{sin280}$

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3 years ago

Is 0.6 60 and 6 equal?

quester [9]

Answer:

Yesss

Step-by-step explanation:

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Which of the following does not influence the consumer when he or she is deciding whether or not to buy a product?

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Answer:external factor

Step-by-step explanation:

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3 years ago

Michelle has a jar of quarters and dimes totalling to 3.10 if there are sixteen coins in the jar how many more quarters are ther

Sav [38]

Q + d = 16....q = 16 - d
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0.25(16 - d) + 0.10d = 3.10
4 - 0.25d + 0.10d = 3.10
-0.25d + 0.10d = 3.10 - 4
-0.15d = -0.90
d = -0.90/-0.15
d = 6...dimes

q + d = 16
q + 6 = 16
q = 16 - 6
q = 10...quarters

so there are (10 - 6) = 4 more quarters then dimes

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3 years ago