Answer:
2 (x + 3)^2 - 2
Step-by-step explanation:
1. Factor the 2 out of the equation (don't forget about it - it will be used later). This gives you x^2 + 6x + 7
2. Subtract the 7 over. This gives you x^2 + 6x = -7
3. Take b (6), divide it by 2 (3), and square it (9). Then add that to both sides of the equation. This gives you x^2 + 6x + 9 = 2
4. Factor the left side of the equation. This gives you (x + 3)^2 = 2
5. Subtract the 2 over. This gives you (x + 3)^2 - 2
6. Remember that 2 we factored out of the equation earlier? Well that goes in front of the parentheses now, giving you the final answer of 2 (x + 3)^2 -2
Approximate circumference of a semicircle with a radius of 30 centimeters is 94.2 centimeter
<em><u>Solution:</u></em>
Given semicircle with a radius of 30 centimeters
<em><u>To find: approximate circumference of a semicircle</u></em>
To find circumference of semicircle we can divide the circumference of circle by 2
circumference of semicircle = circumference of circle
2

Substituting the given radius = 30 cm,

Thus approximate circumference of a semicircle with a radius of 30 centimeters is 94.2 centimeter
9514 1404 393
Answer:
(b) g, h, f
Step-by-step explanation:
The larger the magnitude of the vertical scale factor, the quicker the graph takes on higher values. That makes its appearance narrower.
Here, you want to list the functions in decreasing order of vertical scale factor:
g(x) . . . scale factor 4
h(x) . . . scale factor 2
f(x) . . . scale factor 1/3
A.<span>If an angle is an acute angle, then the angle measures less than 90 degrees.</span>
Answer:
32.3°
Step-by-step explanation:
Sqrt(7.5² - 6²) = 4.5
Tan(D) = 6/(24-10-4.5)
= 6/9.5
D = 32.3