Sorry dudette bdbxyusuaywvs
Answer:
(-2, 1)
Step-by-step explanation:
consider the following equations: -x-y=1 y=x+3
For the lines to intersect, the values must be the same
-x-y=1
x + y = -1
y = -x - 1
Equating the y values
-x - 1 = x+ 3
-x-x = 3 + 1
-2x = 4
x = 4/-2
x = -2
Substitute x = -2 into y = x+3
y = -2 + 3
y = 1
Hence the required coordinate is (-2, 1)
Answer:
- <u>Question 1:</u>
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- <u>Question 2:</u>
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- <u>Question 3:</u>
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- <u>Question 4:</u>
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Explanation:
<u>Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m</u>
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a) By definition: 
b) Given: 
c) By substitution: 
<u>Question 2: Find the general solution of this equation. Use A as a constant of integration.</u>
a) <u>Separate variables</u>

b)<u> Integrate</u>


c) <u>Antilogarithm</u>



<u>Question 3. Which particular solution matches the additional information?</u>
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Use the measured rate of 4 grams per hour after 3 hours

First, find the mass at t = 3 hours

Now substitute in the general solution of the differential equation, to find A:

Round A to 1 significant figure:
<u>Particular solution:</u>

<u>Question 4. What was the mass of the bacteria at time =0?</u>
Substitute t = 0 in the equation of the particular solution:

Answer:
12
Step-by-step explanation:
The angle equals 90 degrees so (8*12-6) would equal 90
hopefully i helped
Answer:
Step-by-step explanation:
Total peanuts = 5/6pounds
They ate = 3/4 of the peanut
= 3/4 × 5/6 = 5/8pounds
They eat 5/8 pounds
Amount left = 5/6 - 5/8
= (20 - 15)/24
= 5/24pounds
Jesus had 5/24 pounds of peanuts left