Answer:
I don't use Geogebra, but the following procedure should work.
Step-by-step explanation:
Construct a circle A with point B on the circumference.
- Use the POINT and SEGMENT TOOLS to create a circle with centre B and radius BA.
- Use the POINT tool to mark points D and E where the circles intersect.
- Use the SEGMENT tool to draw segments from C to D, C to E, and D to E.
You have just created equilateral ∆CDE inscribed in circle A.
Alright here are the answers in order!
a) Independent
b) Dependent
c) 0.9
d) 0.5
I hope this helps!
Answer:
f(x) = x² + 9x - 22
Step-by-step explanation:
Given that x = 2 and x = - 11 are zeros, then
(x - 2) and (x + 11) are factors
and f(x) equals the product of the factors
f(x) = (x - 2)(x + 11) ← expand factors
f(x) = x² + 9x - 22 ← is a possible function
I believe this question logically tells us to find the value of w. The two equations are already equated. Since there is 1 unknown and 1 equation, the system is solvable. The solution is as follows:
5/(6w+21) = -1/3(2w - 9)
5/(6w+21) = -1/(6w - 27)
Cross multiplying the terms:
5(6w - 27) = -1(6w +21)
30w - 135 = -6w - 21
30w + 6w = -21 + 135 = 114
36w = 114
w = 114/36
w = 19/6 or 3.167
Let the second angle = X
The first angle = 2X+42 ( 42 more than 2 times the second angle)
Now you have 2x+42 + x = 90 ( first angle + second angle = 90)
2x + x = 3x
Now you have:
3x +42 = 90
Subtract 42 from both sides:
3x = 48
Divide both sides by 3:
x= 48/3
x = 16
The second angle = 16 degrees.
The first angle = 2(16) + 42 = 32+42 = 74 degrees