Answer:
Step-by-step explanation:
Moon- 109 / 4
Saturn- 59 / 1 , 177 / 3
Venus- 243 / 1 , 729 / 3
Answer:
The values for expression is h = - 2 and k = 5
Step-by-step explanation:
Given algebraic expression can be written as :
2 x³ - 10 x² + 11 x - 7 = ( x - 4 ) × ( 2 x² + h x + 3 ) + k
Now opening the bracket
Or, 2 x³ - 10 x² + 11 x - 7 = x × ( 2 x² + h x + 3 ) - 4 × ( 2 x² + h x + 3 ) + k
Or, 2 x³ - 10 x² + 11 x - 7 = 2 x³ + h x² + 3 x - 2 x² - 4 h x - 12 +k
Or , 2 x³ - 10 x² + 11 x - 7 = 2 x³ + ( h - 2 ) x² + ( 3 - 4 h ) x - 12 + k
Now, equating the equation both sides
I.e - 10 = ( h - 2 )
Or , h - 2 = - 10
I.e , h = - 10 + 2
∴ h = - 2
Again , 11 = ( 3 - 4 h )
or, 11 = 3 - 4 h
or, 11 - 3 = - 4 h
or, 8 = - 4 h
∴ h = 
I.e h = - 2
Again
- 7 = - 12 + k
Or, k = - 7 + 12
∴ k = 5
Hence The values for expression is h = - 2 and k = 5 . Answer
Answer:
Q1: p = - 33
Q2: d = - 99
Q3: t = - 13
Step-by-step explanation:
Q1: 
We solve this taking LCM.
We get: 


Q4: 
Again we proceed like Q1 by taking LCM.
We get: 



Q7: 5t + 12 = 4t - 1
We club the like terms on either side.



Hence, the answer.
Answer:
0.05 AU corresponds to the 0.0769 Inches(<em>This calculation is not possible in real time world)</em>
Step-by-step explanation:
Given:
0.65 corresponds to 1 inch
To Find:
0.05 AU corresponds to how many inches.
Solution:
<em>The AU is astronomical unit which is preferred as the mean distance between earth and sun.</em>
<em>AU is too big unit and used in space distance calculation.</em>
But here for mathematical calculation,
0.65 AU corresponds to 1 inch
then 0.05 AU corresponds to x inch(es)
Now cross multiplying the quantities we get ,
0.65x=0.05*1
x=0.05/0.65
x=0.0769 inches corresponds to 0.05 AU
(Preferred for this example only)
<em>(Remember that this calculation is hypothetical and practically incorrect to use it).</em>
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