Answer:
x = - 3 ± 
Step-by-step explanation:
x² + 6x + 7 = 0 ( subtract 7 from both sides )
x² + 6x = - 7
using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = - 7 + 9
(x + 3)² = 2 ( take square root of both sides )
x + 3 = ±
( subtract 3 from both sides )
x = - 3 ± 
Answer: 8.4 inches.
Step-by-step explanation:
We know that the circumference of a circle can be calculated with this formula:

Where "r" is the radius of the circle.
We know that the circular cake (whose radius is 8 inches) is cut from the center into 6 equal pieces. Then, you need to divide the circumference of this circular cake by 6 to find the width of the outer edge of each piece of cake.
Therefore, this is (to the nearest tenth of an inch):

Answer:
Step-by-step explanation:
<h3>Part A</h3>
- The base is a rectangle hence the parallel cut produces the same shape.
<h3>Part B</h3>
- The cut diagonal to base will produce rectangle as the cross section still contains two pairs of parallel lines
Answer:
5
Step-by-step explanation:
Okay, so adding negative numbers can get very tricky, but I think I can help
Since there are two negative signs next to each other, they both cancel out and become positive so instead you get
-2+7
And if you do this with a number line, if you start and negative 2 and keep going right 7 times, you get 5
I hope I helped! I know negative numbers can be really difficult, but once you get the hang of it I bet you'll be great!
I’ve attached my work...
Hope it helps! Have a nice day :)