Answer:
7 x 9 = 63, 63 divided by 2 = 31.5,
31.5 x 4 = 126
9 x 9 = 81
Add given areas:
126 + 81 = 207 in2 is your answer
Answer:
see attachment
Step-by-step explanation:
We want to choose the graph that represents:
![y = \sqrt[3]{x} + 2](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%5B3%5D%7Bx%7D%20%20%2B%202)
We know the parent function will be:
![y = \sqrt[3]{x}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%5B3%5D%7Bx%7D%20)
There has been a vertical shift upward by 2 units.
Therefore the graph of
![y = \sqrt[3]{x} + 2](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%5B3%5D%7Bx%7D%20%20%2B%202)
is obtained by shifting the parent function up 2 units.
Its y-intercept will move from 0 to 2.
The graph is shown in attachment.
Area of a regular polygon = 1/2 x apothem x perimeter
We know that each side is 10, because if you draw a segment from the center to a vertex it creates a 30-60-90 triangle (those are the angles). This type of triangle has a ratio for its sides where the longer side is radical three times as long as the shorter leg. This shorter leg happens to be half of a side of the polygon. Knowing that the polygon has 6 sides, we can multiply 10 by 6 to get the perimeter.
Area of polygon = 1/2 x apothem x perimeter = 1/2 x 5

x 60
=30 x 5

= 30 x 5 x <span>1.73205080757
= 150 x </span><span>1.73205080757
= </span><span>259.807621135
To the nearest tenth of a cm, the area of the polygon is 260 cm squared</span>
Answer:
(0, 6 ) and (5, 1 )
Step-by-step explanation:
Given the 2 equations
y = 6 - x → (1)
y = x² - 6x + 6 → (2)
Substitute y = x² - 6x + 6 into (1)
x² - 6x + 6 = 6 - x ( subtract 6 - x from both sides )
x² - 5x = 0 ← factor out x from each term on the left side
x(x - 5) = 0
Equate each factor to zero and solve for x
x = 0
x - 5 = 0 ⇒ x = 5
Substitute these values into (1) for corresponding value of y
x = 0 : y = 6 - 0 = 6 ⇒ (0, 6 )
x = 5 : y = 6 - 5 = 1 ⇒ (5, 1 )
Answer:
b. d > 6
Step-by-step explanation: