3 years ago

In standard form: y-9=2(x-1)

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

4 0

Answer:

y - 9 = 2(x-1)

y -9 + 9 = 2x - 2 +9

y = 2x + 7

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The equation can be y = -7x+11

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4 years ago

I need help with this question.

SSSSS [86.1K]

Answer:

$\displaystyle S_{27}=675$

Step-by-step explanation:

The sum of N consecutive natural numbers is given by:

$\displaystyle S_N=\frac{N}{2}(F+L)$

We need to find the sum of the natural numbers between 12 to 38.

To calculate the required sum we have F=12, L=38, but we don't have the value of N.

From 12 to 38 there are 38 - 12 + 1 = 27 natural consecutive numbers, thus N=27.

Substituting in the formula:

$\displaystyle S_{27}=\frac{27}{2}(12+38)$

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3 years ago

Dave walked to his friend's house at a rate of 4 mph and returned back biking at a rate of 10 mph. If it took him 18 minutes lon

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Answer:

4 miles

Step-by-step explanation:

<u>Walking:</u>

Distance = d miles

Rate = 4 mph

Time = t hours

$d=4\cdot t$

<u>Biking:</u>

Distance = d miles

Rate = 10 mph

Time $=t-\dfrac{18}{60}=t-0.3$ hours (convert minutes to hours)

$d=10\cdot (t-0.3)$

Hence,

$4t=10(t-0.3)\\ \\4t=10t-3\\ \\4t-10t=-3\\ \\-6t =-3\\ \\6t=3\\ \\t=\dfrac{3}{6}=\dfrac{1}{2}=0.5\ hour$

Therefore, the distance to friend's house is

$d=4\cdot 0.5=2\ miles$

and the total distance of the round trip is

$2+2=4\ miles$

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I believe the answer is 8 out of 10

hope this helps!

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3 years ago

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The answer is 240 simply multiply 12 x 20

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3 years ago