Answer:7
Step-by-step explanation:
1/2 of j is the same as j ÷ 2
14 ÷ 2 = 7
Answer:
We know that the equation of the circle in standard form is equal to <em>(x-h)² + (y-k)² = r²</em> where (h,k) is the center of the circle and r is the radius of the circle.
We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :
1 - We first group terms with the same variable :
(x²+8x) + (y²+22y) + 37 = 0
2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)
(x²+8x) + (y²+22y) = - 37
3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process <u><em>"completing the square"</em></u>.
x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²
y²+22y = (y²+22y+11²)-11² = (y+11)²-11²
4 - We plug the new values inside our equation :
(x+4)² - 4² + (y+22)² - 11² = -37
(x+4)² + (y+22)² = -37+4²+11²
(x+4)²+(y+22)² = 100
5 - We re-write in standard form :
(x-(-4)²)² + (y - (-22))² = 10²
And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)
Answer: D. x ≈ 2.5
Step-by-step explanation: I circled the intersection in green in this attachment I provided.
As you can see, it's near 2.5 which is correct.
I really hope this is correct. I answered this one with confidence. Good luck on your test btw.
16:29:15 I think that would be it but, I'm really sorry if that's not right
Answer:
80 m²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = 
h (a + b)
where h is the perpendicular height between bases and a, b are the bases
Here h = 8, a = 14 and b = 6, thus
A = × 8 × (14 + 6) = 4 × 20 = 80 m²
