What is the equivalent value of 1/3×(−15)
Answer: -5x
This looks like an ellipse.
Complete the square for y: 9(y²-6y-7)=9(y²-6y+9-9-7)=9((y-3)²-16).
Rewrite the equation:
4x²+9(y-3)²-144=0; 4x²/144+9(y-3)²/144=1; x²/36+(y-3)²/16=1.
Standard equation of an ellipse is (x-h)²/a²+(y-k)²/b²=1, where (h,k) is the origin or centre.
This is the equation of an ellipse with centre (0,3), a=6 and b=4 (semimajor and semiminor axes).
<h2>
Answer:</h2>
Correct option: B
<h2>
Step-by-step explanation:</h2>
When we say a is no more than b, we express this in a mathematical language as follows:
In this inequality, we know that the area of the triangle is no more than 168 in². In other words, if the area is named 
, then:
We also know that the height of a triangle is 4 inches greater than twice its base. Translating this in a mathematical language:
From geometry, we know that the area of a triangle is given by:
Matching (1), (2) and (3):
Since the length of the base of the triangle is 
, then 
Finally, correct option is B.
Answer: His balance amount in the bank account after withdrawal will be
6150 RS - 2050 RS= 4100 RS
Step-by-step explanation:
Rajan had 6000 RS in his bank account on a particular day a week. This means that the original amount he was having in his bank account = 6000 RS
A week later he deposited 150p RS.
This means the current total amount
= 6000 RS + 150p RS = 6150 RS.
The next day, he withdrew 1/3rd of his total amount. This means he withdrew
1/3 ×6150= 6150/3 = 2050 RS
His balance amount in the bank account after withdrawal will be the new total amount - the amount withdrawn.
His balance amount in the bank account after withdrawal will be
6150 RS - 2050 RS= 4100 RS
Answer:
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Step-by-step explanation:
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