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3 years ago

Help!!! Write and equation in point-slope form and slope-intercept for each line. Passes through (2,2) , slope =3

Mathematics

1 answer:

professor190 [17]3 years ago

6 0

Okay here it is

Y- 2 = 3 (X- 2)

And do you have the Y intercept? Because so far your slope intercept equation is

Y = 3x + ____

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You bike 1 mile the first day of your training, 1.3 miles the second day, 1.9 miles the third day, and 3.1 miles the fourth d

JulsSmile [24]

Answer:

19.9 miles

Step-by-step explanation:

In this problem we have:

$d_1=1 mi$ is the distance travelled during the 1st day

$d_2=1.3 mi$ is the distance travelled during the 2nd day

$d_3=1.9 mi$ is the distance travelled during the 3rd day

$d_4=3.1 mi$ is the distance travelled during the 4th day

We notice that the difference between the distance travelled on the (n+1)-th day and the distance travelled on the n-th day doubles every day. In fact:

$d_2-d_1=0.3\\d_3-d_2=2\cdot 0.3 = 0.6\\d_4-d_3=2\cdot 0.6 = 1.2$

Which can be rewritten using the general formula:

$d_{n+1}-d_n=2(d_n-d_{n-1})$

This means that

$d_{n+1}=d_n+2(d_n-d_{n-1})$

By applying this formula recursively, we can find the 7th term, which is the distance travelled on the 7th day:

$d_1=1\\d_2=1.3\\d_3=1.9\\d_4=3.1\\d_5=3.1+2\cdot 1.2=5.5\\d_6=5.5+2\cdot 2.4=10.3\\d_7=10.3+2\cdot 4.8=19.9 mi$

So, the distance travelled on the 7th day is 19.9 miles.

7 0

4 years ago

How do you solve this?

frosja888 [35]

I know its a long problem but i have to shiw how i got my answer.

4 0

3 years ago

Are two regular hexagons always congruent?

vitfil [10]

Answer:

Polygons - Hexagons. So, the sum of the interior angles of a hexagon is 720 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent).

Step-by-step explanation:

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3 years ago

Find an expression which represents the sum of (7x - 8y) and (-6x - 6y) in simplest terms.

grigory [225]

Answer:

$\displaystyle (7x - 8y) + (-6x - 6y) = x - 14y$