Answer:
C. -8 and 4
Step-by-step explanation:
Step 1: Plug in f(5)
f(5) = -2(5) + 2
f(5) = -10 + 2
f(5) = -8
Step 2: Plug in f(-1)
f(-1) = -2(-1) + 2
f(-1) = 2 + 2
f(-1) = 4
Answer:
θ=0,π/3,π,5π/3,2π
Step-by-step explanation:
cosθ sinθ-1/2 sinθ=0
sinθ(cos θ-1/2)=0
Either sin θ=0
θ=0,π,2π
or
cosθ-1/2=0
cos θ=1/2=cos π/3,cos(2π-π/3)
θ=π/3,5π/3
Answer:
4
Step-by-step explanation:
There are four Quadrants in Mathematics. Counting from the right to left, to left, then right, we can tell which quadrant we are in.
The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.
Step-by-step explanation:
Let,
The longer leg = x
The shorter leg = x-7
Hypotenuse = x+7
Using Pythagoras theorem;

Either,
x= 0
Or,
x-28=0 =>x=28
As length cannot be zero, therefore,
Longer side = 28cm
Shorter side = x-7 = 28-7 = 21cm
Hypotenuse = x+7 = 28+7 = 35cm
The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.
Keywords: triangle, pythagoras theorem
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Answer:
x = -7, x = 9
Step-by-step explanation:
We presume your equation is ...
x² -2x -63 = 0
Factors of -63 that have a sum of -2 are -9 and +7. Then the factored equation is ...
(x -9)(x +7) = 0
Solutions make the factors zero.
x -9 = 0 ⇒ x = 9
x +7 = 0 ⇒ x = -7
The solutions to the quadratic equation are x = -7 and x = 9.