Answer: B) increasing for x < -4/3 and x > 4/3
decreasing for -4/3 < x < 4/3
<u>Step-by-step explanation:</u>
Graph the equation and follow the curve from left to right. If you are going up, it is increasing. If you are going down, it is decreasing.
Refer to the image below. Red is increasing. Blue is decreasing.
The vertices are at: x = -4/3 and x = 4/3
Answer:
15π/2 ft
Step-by-step explanation:
Arc length is given by the formula ...
s = rθ . . . . . r = radius; θ = central angle in radians
A 135° arc has a radian measure of (135)(π/180) = 3π/4. The radius of a circle with a 20 ft diameter is (20 ft/2) = 10 ft. So, the arc length is ...
s = (10 ft)(3π/4) = 30π/4 ft = 15π/2 ft
I forgot the name, but there is a theorem that states that those two angles are equal. So if you do 94=5x+4 , you can solve that.
94=5x+4.
Subtract 4 from both sides
90=5x
Divide both sides by 5
18=x
Hope this helps :)
The diagonal of a rhombus divides it into two congruent isosceles triangles.
So ∠CBD ≅ ∠CDB
∠CBD + ∠CDB + 68 = 180
2∠CBD = 180 - 68 = 112
∠CBD = 56
We also have
∠BDE + ∠E + ∠DBE = 180
∠DBE = 180 - 73 - 36 = 71
∠EBC = ∠EBD - ∠CBD = 71 - 56 = 15
Answer: ∠EBC = 15 degrees
Answer:
D
Step-by-step explanation:
Using Pythagoras' identity on the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, hence
(BC)² = 10² + 30² → D
