Split the second term in 9s^2 - 36s + 35 into two terms
9s^2 - 15s - 21s + 35
Factor out common terms in the first two terms, then in the last two terms
3s(3s - 5) - 7(3s - 5)
Factor out the common term 3s - 5
<u>(3s - 5)(3s - 7) </u>
Answer:
4. 
5. 
6. 
or 3.5
Step-by-step explanation:
Multiply those 2 values whose diagonal has both terms and divide by the term whose diagonal has the variable.
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Answer:
150
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
<1 + <2 = <3
3x+11 + 3x+19 = 7x+10
Combine like terms
6x+30 = 7x+10
Subtract 6x from each side
6x -6x+30 = 7x-6x+10
30 = x+10
Subtract 10 from each side
30-10 = x+10-10
20 =x
We need to find angle 3
<3 = 7x+10
= 7(20)+10
= 140+10
= 150
<u>Complete Question:</u>
Which statement best describes why liquid water exists on earth?
A. Earth experiences comet crashes and volcanic eruptions.
B. Earth experiences a strong magnetic field and lunar tides.
C. Earth has moderate temperatures and a strong gravitational force.
D. Earth has hydrogen bonds with the sun
<u>Correct Answer:</u>
Earth has a moderate temperature and strong gravitational force. This is the reason for existence of liquid water on Earth.
<u>Step-by-step explanation:</u>
Liquid water has the chemical formula of H₂O. So it is composed of mainly hydrogen and oxygen molecules with the present of different materials present in it based on the place it is located. As the water molecules are bonded by weak van der waals bond, it can be easily broken with the boiling point of 100 °C.
Thus, the existence of liquid water is possible in moderate temperature. Also the strong gravitational force of Earth helps to keep the liquid water stable in Earth. Thus, the strong gravitational force and the moderate temperature condition of Earth is responsible for liquid water existence on Earth.
