33. 2x-3= -6
-6^2(squared) = 36
36 +(-3) = 33
Answer:
-33/4 or -8 1/4
Step-by-step explanation:
Make similar terms:
-5/4 - 28/4: then solve
-5 - 28 = -33: put over 4
-33/4: simplify
-8 1/4
Answer:
The c intercept is 42
The t intercepts are: 6, -1 and 7
Step-by-step explanation:
Given
Solving (a): The c intercept
Simply set t to 0
Solving (b): The t intercept
Simply set c(t) to 0
Split
Solve for t
Note that
108° = 90° + 18°
so
sin(108°) = sin(90° + 18°) = sin(90°) cos(18°) + cos(90°) sin(18°) = cos(18°)
Then
sin²(108°) + sin²(18°) = cos²(18°) + sin²(18°) = 1
by the Pythagorean identity.
Answer:
D. 2
Step-by-step explanation:
M(0,2b)
N(2a,0)
Then the midpoint P coordinates are
P\left(\dfrac{2a+0}{2},\dfrac{0+2b}{2}\right)\Rightarrow P(a,b)
Use distance formula to find OP and MN:
OP=\sqrt{(a-0)^2+(b-0)^2}=\sqrt{a^2+b^2}\\ \\MN=\sqrt{(2a-0)^2+(2b-0)^2}=\sqrt{4a^2+4b^2}=2\sqrt{a^2+b^2}
So,
MN=2OP
or
OP=1/2 MN
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