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saw5 [17]
3 years ago
6

Write the equation of the line perpendicular to y=2/5x+7/5 that passes through the point (-4,3)

Mathematics
1 answer:
sergey [27]3 years ago
3 0

Answer: y=-5/2x+9/2

Step-by-step explanation: We are using (-4,3) as our x and y and -5/2(reciprocal of 2/5) as our slope.

y-3=-5/2(x+4)

multiply x and 4 by -5/2

y-3=-5/2x+3/2

add 3 to both sides

y=-5/2x+9/2

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Give the first 8 terms of the sequence. a1= -1, a2=2, a[n]=a[n-2](3-a[n-1])
maxonik [38]

Step-by-step explanation:

Give the first 8 terms of the sequence. a1= -1, a2=2, a[n]=a[n-2](3-a[n-1])

Given

first term a1 = -2

second term a2 = 2

We are to get the first 8 terms. Given the sequence

a[n]=a[n-2](3-a[n-1])

a[3]=a[3-2](3-a[3-1])

a[3]=a[1](3-a[2])

a[3]=-2(3-2)

a3 = -2

a[n]=a[n-2](3-a[n-1])

a[4]=a[4-2](3-a[4-1])

a[4]=a[2](3-a[3])

a[4]=2(3+2)

a4= 10

a[5]=a[n-2](3-a[n-1])

a[5]=a[5-2](3-a[5-1])

a[5]=a[3](3-a[4])

a[5]=-3(3-10)

a5 = -3(-7)

a5 = 21

a[6]=a[n-2](3-a[n-1])

a[6]=a[6-2](3-a[6-1])

a[6]=a[4](3-a[5])

a[6]= 10(3-21)

a6 = 10(-18)

a6 = -180

a[n]=a[n-2](3-a[n-1])

a[7]=a[7-2](3-a[7-1])

a[7]=a[5](3-a[6])

a[7]= 21(3+180)

a7 = 21(183)

a7 = 3,843

a[8]=a[n-2](3-a[n-1])

a[8]=a[8-2](3-a[8-1])

a[8]=a[6](3-a[7])

a[8]=-180(3-3843)

a8 = -180(-3840)

a8 = 691,200

6 0
3 years ago
Refer to the spinner. Find the odds of the spinner landing on a dark section.
oee [108]
You need to show us the spinner so we can see each section.
7 0
3 years ago
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Taylor plans to borrow $4,500 from the bank to purchase a used vehicle. If he borrows the money at a rate of 4% interest for 2 y
kumpel [21]

Answer:

$4867.2

Step-by-step explanation:

6 0
3 years ago
Find the equation of the line whose slope is -3 and which passes through the point (-5, 3)
nadezda [96]

Answer:

y=-3x-12

Step-by-step explanation:

Plug into equation y=mx+b

3=(-3)-5+b

Simplify

3=15+b

Subtract 15 from both sides

-12=b

Add slope and y-intercept into base equation

y=-3x-12

4 0
4 years ago
On Monday, George's checking account held $61.72. On Tuesday, he withdrew $57.00 from the account. On Thursday afternoon he depo
IceJOKER [234]

Answer:

$201.99

Step-by-step explanation:

Given that:

Amount held on Monday = $61.72

Amount withdrawn on Tuesday = $57.00

Amount deposited on Thursday = $197.27

Final balance :

Amount held on Monday - Amount withdrawn on Tuesday + Amount deposited on Thursday

$61.72 - $57.00 + $197.27 = $201.99

Hence, final balance = $201.99

7 0
3 years ago
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