MATHEMATICS HIGH SCHOOL

If g(x) = 10 + 4x2 + 3x, find g(-2).

Answers

Answer 1
Answer:

Answer:

g(-2) = 20

Step-by-step explanation:

from my understanding, the equation is

g(x) = 10+4x^(2) +3x\n

to find g(-2), substitute -2 into the x.

g(-2) = 10 +4(-2^(2))+3(-2)\n = 10 + 4(4)-6\n = 10 + 16 - 6\n = 20

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A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone is equal to the radius of the cylinder. What is the volume of the cone in terms of the radius, r?

Answers

Given:
Let us assume the radius of the cylinder is x.
radius of the cone is half the radius of the cylinder: x/2
height of the cone is equal to the radius of the cylinder: x

radius of cone: x/2 ; height of the cone: x

volume of the the cone = π r² h/3
V = 3.14 * (x/2)² * x/3
V = 3.14 * x²/4 * x/3
V = (3.14 * x² * x)/4*3
V = 3.14 x³ / 12

Answer:

(1/12) Pi r^3     option C on plato

Step-by-step explanation:

r = radius of the cylinder

V = (1/3)Pi c^2 h for a cone.

and c = r/2 and h = u

so Volume of the cone is (1/12) Pi r^3    

What is an equation of the line that is perpendicular to y + 1 = -3(x - 5) and passes through the point (4, -6)?

Answers

Answer:

Option A.

Step-by-step explanation:

y + 1 = -3x + 15

y = -3x + 14

A line perpendicular would have a slope of 1/3.

y = 1/3x + c

-6 = 1/3 * 4 + c

4/3 + c = -6

c = -18/3 - 4/3

c = -22/3

So, we have y = 1/3x - 22/3.

y + 6 = 1/3(x - 4)

y + 6 = 1/3x - 4/3

y = 1/3x - 4/3 - 18/3

y = 1/3x - 22/3

So, the correct answer is Option A.

Hope this helps!

What is square root of 26

Answers

5.0990195

Hope this helped!
If it just wants it simplified it would be this. √2×13
Which equals 1√13.

Can you tell me what 4% of ? is 56 days

Answers

The answer is
56/0.04=1400

Find the mean of the following: 158, 213, 107, 213, and 213. If needed, round your answer to the nearest tenth

Answers

Answer:

180.8

Step-by-step explanation:

1. Add all the numbers

2. Divide the sum by 5

3. you get the answer

Answer:

180.8

Step-by-step explanation:

A 200-centimeter-long wire is cut into three peices. The second piece is three times as long as the first. The third piece is 2 times as long as the second. How long is each piece?

Answers

Assuming the value of the first piece is x, then the equation would be this:
x+3x+6x=200
Simplify, and you get:
10x=200
Solve for x:
x=20
So the first piece(x) was 20 cm long
The second piece(3x) was 60 cm long
The third piece(6x) was 120 cm long
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