1) 2x-1 or x=1/2
2) 5a-16 or a=16/5
Answer: 5 inches
Step-by-step explanation:
Given: Volume of clay = 48 cubic inches
If we make a solid square right pyramid with a base edge a= 6 inches.
Then its base area = 
we know that volume of square right pyramid=
Therefore, volume of square right pyramid made by all of clay=
=48 cubic inches
![\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}](https://tex.z-dn.net/?f=%5CRightarrow%5Cfrac%7B1%7D%7B3%7D%5Ctimes%5C%20%2836%29%5Ctimes%5C%20h%3D48%5C%5C%5CRightarrow12h%3D48%5C%5C%5CRightarrow%5C%20h%3D4%5C%20inches.....%5Ctext%7B%5BDivide%2012%20on%20both%20sides%5D%7D)
Now, slant height 

The slant height of the pyramid if Helen uses all the clay=5 inches
Answer:
- 5, 2, 9, 16 and d = + 7
Step-by-step explanation:
to obtain the first four terms substitute n = 2, 3, 4 into the recursive formula
f(1) = - 5 ← given
f(2) = f(1) + 7 = - 5 + 7 = 2
f(3) = f(2) + 7 = 2 + 7 = 9
f(4) = f(3) + 7 = 9 + 7 = 16
common difference d = 16 - 9 = 9 - 2 = 2 - (- 5) = 7
Answer:
(4, - 6 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 270°
a point (x, y ) → (y, - x ) , thus
(6, 4 ) → (4, - 6 )
move all terms to the left side and set equals to zero. then set each factor equal to zero