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3 years ago

I need to know if the lines made by those two equations are parallel, perpendicular or neither

Mathematics

1 answer:

natita [175]3 years ago

3 0

They're perpendicular.

Both equations are in the form y=mx+b, where m is the slope and b is the y-intercept.

Perpendicular lines have opposite reciprocal slopes (ex: the opposite reciprocal of 5 is -1/5).

Parallel lines have the same slope, but different y-int.

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Keith has 39 books in his library he brought several books at a yard sale over the weekend he now has 84 in his library how many

garri49 [273]

Subtract original amount from new amount:

84 - 39 = 45

He bought 45 books.

3 0

3 years ago

Choose the equation that models the following statement: The current, I amps, produced by a battery is inversely proportional to

Anika [276]

By definition we have to:
V = I * R
Where,
V: Voltage.
I: Current.
R: Resistance.
The current, I amps, produced by a battery is inversely proportional to the resistance, R ohms. Clearing I have:
I = V / R
rewriting:
I = V * (1 / R)
answer:
The equation that models the statement is:
I = V * (1 / R)

7 0

3 years ago

Read 2 more answers

heather has divided $6300 between two invesments, one paying 9%, the other paying 4%. If the return on her investment is $372, h

Ganezh [65]

Assuming that the two investments are X & Y
X + Y = 6300
X = 6300 - Y (1)

9/100X + 4/100 Y = 372 (2)
replacing X from (1) into (2)
9/100(6300-Y) + 4/100 Y = 372
567 - 9/100Y +4/100Y = 372
(-9+4)/100Y = 372 - 567
5/100Y = -195
Y = 100*195/5 = 3900
From (1) we can get X
X = 6300 - 3900 = 2400

I hope this is helpful

6 0

3 years ago

Megan has $15,000 to invest. She is considering two investment options. Option A pays 3.2% simple interest. Option B pays 4.1% i

True [87]

wheee

Compute each option

option A: simple interest

simple interest is easy

A=I+P

A=Final amount

I=interest

P=principal (amount initially put in)

and I=PRT

P=principal

R=rate in decimal

T=time in years

so given

P=15000

R=3.2% or 0.032 in deecimal form

T=10

A=I+P

A=PRT+P

A=(15000)(0.032)(10)+15000

A=4800+15000

A=19800

Simple interst pays $19,800 in 10 years

Option B: compound interest

for interest compounded yearly, the formula is

$A=P(1+r)^t$

where A=final amount

P=principal

r=rate in decimal form

t=time in years

given

P=15000

r=4.1% or 0.041

t=10

$A=15000(1+0.041)^{10}$

$A=15000(1.041)^{10}$

use your calculator

A=22418.0872024

so after 10 years, she will have $22,418.09 in the compounded interest account

in 10 years, the investment in the simple interest account will be worth $19,800 and the investment in the compounded interest account will be worth$22,418.09

4 0

3 years ago

Read 2 more answers

You run one lap around a mile track every 8 minutes. Your friend runs around the same track every 10 minutes. You both start at

dolphi86 [110]

I'm going to need more information before I can answer.

3 0

3 years ago