Answer:
<h2>x² = -3</h2>
Step-by-step explanation:
In algebra, the goal is always to isolate the variable, so its value can be determined.
<h3>Step 1: Subtract 21</h3>
7x² = -21
<h3>Step 2: Divide by 7</h3>
x² = -3
<h3>Step 3: Check</h3>
7(-3) + 21 = 0
0 = 0 ✔
<h3>Step 4: Answer</h3>
x² = -3
I'm always happy to help :)
Answer:
24 ft cubed
Step-by-step explanation:
The volume of a rectangular prism is denoted by the formula:
, where
is the length, w is the width, and h is the height.
Looking at the diagram, we can see that the length is 2 ft (so
= 2), the width is 4 ft (so w = 4), and the height is 3 ft (so h = 3). Now, we can just plug in these values to find V, the volume:


Thus, the answer is 24 ft cubed.
Hope this helps!
Answer:
B. 606,900
Step-by-step explanation:
Hope it helps
The perimeter of the shape is 94 cm and the area is 462 sq cm.
Step-by-step explanation:
Given,
The radius (r) = 14 cm
To find the area and perimeter of the given shape.
The given shape is
of the full circle.
Formula
The perimeter of the circle = 2πr
The perimeter of the given shape =
(2πr)+r+r =
(2πr)+2r
The area of the circle = πr²
Now,
The perimeter of the given shape =
(2×
×14)+2×14 = 94 cm
The area of the given shape =
(πr²)
=
×
×14² = 462 sq cm