X^2 + y^2 - 2x + 7y + 1 = 0
(x^2 - 2x) + (y^2 + 7y) + 1 = 0
(x^2 - 2x + 1) + (y^2 + 7y) + 1 = 0+1
(x^2 - 2x + 1) + (y^2 + 7y + 49/4) + 1 = 0+1+49/4
(x - 1)^2 + (y + 7/2)^2 + 1 = 0+1+49/4
(x - 1)^2 + (y + 7/2)^2 + 1-1 = 0+1+49/4-1
(x - 1)^2 + (y + 7/2)^2 = 49/4
(x - 1)^2 + (y + 7/2)^2 = (7/2)^2
The final answer is choice B
Answer:
The base of traingle is 4cm.
Step-by-step explanation:
Given that the area of triangle is A = 1/2×b×h where b represents base and h is height. So you have to substitute the values into the expressions and solve it :
Answer: B. If a student is not over 6 feet tall, then the student does not play basketball.
Step-by-step explanation:
The contrapositive of a conditional statement of the form "If p then q" is "If not q then not p. The contrapositive is logically equivalent to conditional statement.
Here the given conditional statement is "If a student plays basketball, then the student is over 6 feet tall."
Thus the contrapositive of the conditional statement will be "If a student is not over 6 feet tall, then the student does not play basketbal"
7/10 + 4/5
- Make 4/5 have a common denominator with 7/10 by multiplying 4/5 by 2/2.
Add 7/10 and 8/10.
Simplify 15/10 by dividing both sides by 5/5.
- 15/10 ÷ 5/5 = <u>3/2 </u>or<u> 1 1/2</u>
Answer:
Step-by-step explanation:
Given expression is,
To prove this identity we will take the right side of the identity,
![=\frac{1}{2}[\frac{2(1-\text{tan}^2\frac{A}{2})}{2tan\frac{A}{2}}]](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%5B%5Cfrac%7B2%281-%5Ctext%7Btan%7D%5E2%5Cfrac%7BA%7D%7B2%7D%29%7D%7B2tan%5Cfrac%7BA%7D%7B2%7D%7D%5D)
[Since 
]
= cot A
Hence right side of the equation is equal to the left side of the equation.
