Hello!
In a function, each input must have only one output. Outputs can have multiple inputs, but each input must have one output. For example, {(4,-1), (4,-2)<span>} is not a function, as 4 has two outputs.
In B, -2 has two outputs, 3 and 1, so it is not the answer.
In C, 3 has two outputs, 5 and 2, so it is not a function.
In D,-1 has two outputs, 1 and 5, so it will not work.
In A, each number has one output, so it is a function.
I hope this helps!</span>
Answer:
2+2x(7/7)= 0 (you do what's in the parenthesis first)
2+ 2x (1) =0 (then you multiply, and anything times 1 is itself)
2 + 2x= 0 (subtract 2 from both sides to get the x-term alone)
2x= -2 (divide both sides by 2 to get x isolated)
x= -1 (is your answer)
Answer:
the slope is 3
Step-by-step explanation:
Answer:
In ∆ABD and ∆ACD
<BAD =<CAD ( each are half of <A )
<D=<D ( each equal to 90°)
AD = AD ( common)
So ∆ ABD is congruent to ∆ ACD.
Then AB =AC (by C.P.C.T)
Hence,∆ABC is an iso - sceles triangle.
We assume the composite figure is a cone of radius 10 inches and slant height 15 inches set atop a hemisphere of radius 10 inches.
The formula for the volume of a cone makes use of the height of the apex above the base, so we need to use the Pythagorean theorem to find that.
h = √((15 in)² - (10 in)²) = √115 in
The volume of the conical part of the figure is then
V = (1/3)Bh = (1/3)(π×(10 in)²×(√115 in) = (100π√115)/3 in³ ≈ 1122.994 in³
The volume of the hemispherical part of the figure is given by
V = (2/3)π×r³ = (2/3)π×(10 in)³ = 2000π/3 in³ ≈ 2094.395 in³
Then the total volume of the figure is
V = (volume of conical part) + (volume of hemispherical part)
V = (100π√115)/3 in³ + 2000π/3 in³
V = (100π/3)(20 + √115) in³
V ≈ 3217.39 in³
