Answer:
10. x=3 and y=0
11. Infinitely many solutions.
12. No solutions.
13. x=3/2 and y=-12
14. Infinitely many solutions
15. x=0 and y=−2
Step-by-step explanation:
I just solved them by solving the top part first then the bottom part, I can not put in the actual steps because it takes up way to much space
Answer:
7 cuts
Step-by-step explanation:
A net of a cube looks like the image below.
It has 5 edges connected to each other; two to the side, three in the middle.
That means that 12 - 5 = 7 cuts have to be made.
Answer:
2 sqrt(3) = n
k = 4 sqrt(3)
Step-by-step explanation:
We know that cos 30 = adjacent/ hypotenuse
cos 30 = 6 /k
Multiply each side by k
k cos 30 = 6k * k
k cos 30 = 6
Divide each side by cos 30
k cos 30/ cos 30 = 6/ cos 30
k = 6 / cos 30
k = 6/ (sqrt(3)/2)
k =12 / sqrt(3)
We cannot leave the sqrt in the denominator
k = 12 / sqrt(3) * sqrt(3)/sqrt(3)
k = 12 sqrt(3)/3
k = 4 sqrt(3)
We know tan 30 = opposite/adjacent
tan 30 = n/6
Multiply each side by 6
6 tan 30 = n
6 * (sqrt(3)/3) = n
6/3 * sqrt(3) = n
2 sqrt(3) = n
Answer:
x>6
Step-by-step explanation:
add 2 to the other side
Answer:
4. 28 sq. inch
Step-by-step explanation:
First, Area of the square = l² = 2² = 4
Area of the triangle = 1/2 x b x h
= 1/2 x 2 x 6
= 6
Total surface area = Area of square + 4 x area of triangle
= 4 + 4 x 6
= 28