Answer:
Step-by-step explanation:
The standard form equation for a circle is
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
where h and k are the coordinates of the center. Our center is given as (-6,7) and the radius is given as 9, so that information fits into our standard form like this:
and simplified, it looks like this:
![(x+6)^2+(y-7)^2=81](https://tex.z-dn.net/?f=%28x%2B6%29%5E2%2B%28y-7%29%5E2%3D81)
That's choice C
Answer:
No.
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. In your case, 2 plus 5 is 7, which is less than 16, thus making it impossible for those side lengths to form a triangle.
Answer:
B. f(x) =-150+1500
Step-by-step explanation:
Let x represents the number of months and y represents the savings account balance ( in dollars )
Thus, table would be,
x 0 2 4 6
y 1,500 1,200 900 600,
Let the linear function that represents the above table is,
y = mx + c
By the table,
1500 = m(0) + c ⇒ c = 1500,
Again by the table,
1200 = m(2) + c
1200 = 2m + 1500
-300 = 2m ⇒ m = -150
The function would be,
y = -150x +1500
Since, 900 = -150(4) + 1500
600 = -150(6) + 1500
The whole table satisfy the equation y = -150x +1500,
Hence, the linear function that models the given table is,
y = -150x +1500
Option 'B' is correct.
First you add like terms which means you add all the x's together and all the constants.
3x -5 =55 (Remember that 8 has a negative sign in front which brings that sign with it when combinding like terms)
Then you isolate the variable by adding 5 on both sides.
3x = 60.
Finally you divide by 3 on both sides to get x=20
Answer:
The correct figure is B.
Step-by-step explanation:
The statement provided is:
"If it is an equilateral triangle, then it is an isosceles triangle"
The contra-positive of a statement is determined by switching the hypothesis and conclusion of the provided statement and negating both.
Then the contra-positive of the statement provided will be:
- Switching the hypothesis and conclusion:
If it is an isosceles triangle - It is an equilateral triangle.
- Negating both the statements:
If it is not an isosceles triangle - it is not an equilateral triangle.
Thus, the contra-positive of the statement is:
"If it is not an isosceles triangle, then it is not an equilateral triangle."
Thus, the correct figure is B.