Let the radius of the circle be x, then by the tangent-secant theorem
4^2 = 2(x + 2)
16 = 2x + 4
2x = 16 - 4 = 12
x = 12/2 = 6
Therefore, the radius of the circle is 6 inches.
Your answer is D. 16x² - 56xy + 49y².
A perfect square trinomial is the result of a squared binomial, like (a + b)². Using this example, the perfect square trinomial would be a² + 2ab + b², as that is what you get when you expand the brackets.
Therefore, to determine which of these is a perfect square trinomial, we have to see if it can be factorised into the form (a + b)².
I did this by first square rooting the 16x² and 49y² to get 4x and 7y as our two terms in the brackets. We automatically know the answer isn't A or B as you cannot have a negative square number.
Now that we know the brackets are (4x + 7y)², we can expand to find out what the middle term is, so:
(4x + 7y)(4x + 7y)
= 16x² + (7y × 4x) + (7y × 4x) + 49y²
= 16x² + 28xy + 28xy + 49y²
= 16x² + 56xy + 49y².
So we know that the middle number is 56xy. Now we assumed that it was (4x + 7y)², but the same 16x² and 49y² can also be formed by (4x - 7y)², and expanding this bracket turns the +56xy into -56xy, forming option D, 16x² - 56xy + 49y².
I hope this helps!
Answer:
y=3x-2
Step-by-step explanation:
Since we already know the slope, all we need to find is the y-intercept
The equation for a line is:
y=mx+b where m is the slope and b is the y-intercept. x and y are the x and y coordinates. We can use the numbers given in the problem and plug them into the equation...
y=mx+b
-8=3(-2)+b
-8=-6+b
b=-2
So the equation would be...
y=3x-2
Answer:
from my understanding te correct time will be at 10:15am
Step-by-step explanation:
