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3 years ago

The line that contains a slope of 1/2 and passes through the point (-2, -3) in standard form

1 answer:

3 0

<span>Write the equation of the line that satisfies the given conditions, Express the final equation in standard form. Contains the point (2,5) and is parallel to the line x-2y=-5
The given equation can be written 2y=x+5; y = (1/2)x+(5/2)
It's slope is 1/2

So any line parallel to it has slope = 1/2
If the line also passes thru (2,5), 5 = (1/2)2+b; b=4
Therefore the equation you want is y = (1/2)x+4</span>

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Create three geometric sequences of your own (including one that is decreasing). Extend your sequences to include five terms. Th

Karo-lina-s [1.5K]

Answer:

a) $a_n=5\,\,(2)^{n-1}$

b) $b_n=100\,\,(\frac{1}{2} )^{n-1}$

c) $c_n=160\,\,(-\frac{1}{2} )^{n-1}$

Step-by-step explanation:

a) Geometric sequence with first term 5 and common ratio 2, where the nth term can be calculated via:

$a_n=5\,\,(2)^{n-1}$

The first five terms are: $a_1=5;\,\,\,a_2=10;\,\,\,a_3=20; \,\,\,a_4=40;\,\,\,a_5=80$

b) Geometric sequence with first term 100 and common ratio 1/2, where the nth term can be calculated via:

$b_n=100\,\,(\frac{1}{2} )^{n-1}$

The first five terms are: $a_1=100;\,\,\,a_2=50;\,\,\,a_3=25; \,\,\,a_4=12.5;\,\,\,a_5=6.25$

c) Geometric sequence with first term 160 and common ratio -1/2, where the nth term can be calculated via:

$c_n=160\,\,(-\frac{1}{2} )^{n-1}$

The first five terms are: $a_1=160;\,\,\,a_2=-80;\,\,\,a_3=40; \,\,\,a_4=-20;\,\,\,a_5=10$

4 0

3 years ago

Carlos had $65.00 in his checking account. By mistake he wrote out a check for $82.00. By how much is his checking account overd

mylen [45]

$65.00 - $82.00 = -$17
His account is overdrawn by $17.

4 0

3 years ago

Stumped someone help with geometry

Tpy6a [65]

Notice how if you rotate and reflect the quadrilateral, you'll end up with angle F corresponding to angle S and angle C corresponding to angle T.

So A) angle F = angle S

4 0

3 years ago

1/4 of all telephones at the office have built-in speaker phones 1/2 of the phone with the built in speaker phones have conferen

neonofarm [45]

Answer:

1/8

Step-by-step explanation:

1/2 of 1/4 is 1/8

7 0

3 years ago

2 3/4 x 8 = blank/4 x 8/1

Alex

Answer: 11

Step-by-step explanation:

2 3/4 × 8 = p/4 × 8/1

Let p be the missing number

Convert the mixed fraction 2 3/4 to proper fraction, multiply 4 x 2, then add 3= 11/4

11/4 × 8 = p/4 ×8

p= 11

I hope this helps.

5 0

3 years ago

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