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Ostrovityanka [42]
3 years ago
6

Koryn is building a house. In order to visualize the house, she is building a model. She tapes off two squares with the first sq

uare being 3 feet larger than the second square. The total area of the squares is modeled by the equation:
(y+3)^2+y^2=369


a) What is the side length of the smaller square?

b) What is the area of the smaller square?

c) What is the side length of the larger square?

d) What is the area of the larger square?
Mathematics
1 answer:
Ainat [17]3 years ago
8 0

Answer:

B is correct answer

Step-by-step explanation:

Hope this helps!

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How do you solve these?​
Vinil7 [7]
For the first one, the answer is -1 1/5

for the second one, the answer is 2.75


for the third one and fourth one,
To divide fractions take the reciprocal (invert the fraction) of the divisor and multiply the dividend. This is the quickest technique for dividing fractions. The top and bottom are being multiplied by the same number and, since that number is the reciprocal of the bottom part, the bottom becomes one
6 0
2 years ago
A tank has capacity 6 L and initially contains 11 mg of salt dissolved in 3 L of water. A solution containing 1 mg/L of salt ent
BlackZzzverrR [31]

Answer:

The answer is below

Step-by-step explanation:

a) The maximum capacity of he tank is 6 L and initially it contains 11 mg of salt dissolved in 3 L of water. Solution enters the tank at a rate of 3 L/hr, therefore in x hours, the amount of water that have entered the tank = 3x.

Solution also leaves the tank at a rate of 2L/hr, therefore in x hours, the amount of water that have left the tank = 2x

Hence the amount of water present in the tank at x hours is given as:

3 + 3x - 2x = 3 + x

The time taken to full the tank can be gotten from:

3 + x = 6

x = 6 - 3

x = 3 hr

b)

\frac{dQ}{dx}=3-\frac{2Q}{3+x}\\  \\\frac{dQ}{dx}+\frac{2Q}{3+x}=3\\\\let\ u'=\frac{2u}{3+x}\\\\\frac{u'}{u}=\frac{2Q}{3+x}\\\\ln(u)=2ln(3+x)\\\\u=(3+x)^2\\\\(3+x)^2Q]'=3(3+x)^2\\\\(3+x)^2Q=(3+x)^3+c\\\\Q(0)=11\\\\(3+0)^2(11)=(3+0)^3+c\\\\x=72\\\\Q=x+3+\frac{72}{(x+3)^2}\\ \\Q(3)=3+3+\frac{72}{(3+3)^2}=8\ mg

8 mg/ 6 L = 4/3 mg/L

8 0
2 years ago
Root of 3 time the root of <br> 5
zimovet [89]

Answer:

root of 15 or in decimal form 3.87 (rounded)

Step-by-step explanation:

You just multiply both together

3 0
2 years ago
Which of the following expressions are equivalent? Justify your reasoning.. . a.4√x3. . 1. x−1. . b.10√x5•x4•x2. . c.x. 1. 3. •x
sladkih [1.3K]
A ) \sqrt[4]{ x^{3} } = x^{3/4}
B ) \frac{1}{ x^{-1} } = x
C ) \sqrt[10]{ x^{5} * x^{4}* x^{2}  } = \sqrt[10]{ x^{11} }= x^{11/10}
D ) x^{1/3} * x^{1/3} * x^{1/3} = x
Therefore: B = D
7 0
3 years ago
In Michigan, the snowfall was recorded at 4.5 inches in 3 hours. At what unit rate, in inches per hour, did the snow fall?
nadya68 [22]

Answer: 1.5 inches/hour

Step-by-step explanation:

4.5/3=

5 0
2 years ago
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