4 years ago

Classifying linear systems

Mathematics

1 answer:

ryzh [129]4 years ago

6 0

Answer:

parallel

Step-by-step explanation:

3x = -2 - y will turn into y = -2 - 3x

4 + y = -3x + 1 will turn into y = -3 - 3x

so the lines will be next together (parallel)

You might be interested in

Fill in the next number in this pattern.<br><br> 1, 1, 2, 4, 5, 25, _____

Mila [183]

The next number will be 625

4 0

3 years ago

Read 2 more answers

Please Solve These ASAP!!! Thank you!!

nignag [31]

Step-by-step explanation:

A) A is 100*10% of B

A is 1000% of B

B) A is (8/1.5)*100% of B

A is 5.33*100% of B

A is 533% of B

3 0

3 years ago

In ΔIJK, i = 2.2 inches, j = 3.6 inches and k=5.1 inches. Find the measure of ∠K to the nearest degree.

RideAnS [48]

Answer:

3.3

Step-by-step explanation: it said too the nearest so i think 3.3 cause its already 3.6

4 0

3 years ago

Jonah stacks balls of yarn in a square pyramid for a store display. The number of balls of yarn, P(n), in "n" layers of a square

GenaCL600 [577]

$P(1) = 1\\\\P(2)=P(1)+2^2=1+2^2=1+4=5\\\\P(3)=P(2)+3^2=5+3^2=5+9=14\\\\P(4)=P(3)+4^2=14+4^2=14+16=30$

Correct answer is B. 24

7 0

3 years ago

Read 2 more answers

A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equati

I am Lyosha [343]

Answer:

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

Step-by-step explanation:

For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.

We can model that in this way

$\frac{dT}{dt}=k*(T_r-T)$

If we rearrange and integrate

$\int\frac{dT}{(T-Tr)} =-k*\int dt\\\\ln(T-T_r)=-kt+C1\\\\T-T_r=Ce^{-kt}\\\\T=T_r+Ce^{-kt}$

We know that at time 0, the temperature of the drink was 52°F. Then we have:

$T=T_r+Ce^{-kt}\\\\52=72+Ce^0=72+C\\\\C=-20$

We also know that at t=2, T=55°F

$T=T_r+Ce^{-kt}\\\\55=72-20e^{-k*2}\\\\e^{-k*2}=(72-55)/20=0.85\\\\-2k=ln(0.85)=-0.1625\\\\k=0.08$

The model for the temperature of the drink can be written as

$T=72-20e^{-0.08t}$

7 0

4 years ago