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igor_vitrenko [27]
2 years ago
5

1. Find the vertex, focus, directrix, and focal width of the parabola x^2 = 12y (1 point)

Mathematics
2 answers:
givi [52]2 years ago
7 0
I love this song but it’s so funny and funny the answers is get

Finger [1]2 years ago
3 0

Answer:

I think its B!

Step-by-step explanation:

What grade r u in??

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Roxi works as a receptionist for an electronics manufacturer. One week she reported that she worked 38.75 hours. The next week s
Volgvan
You’re finding the difference between the two numbers (subtraction). 1/4 is 0.25.

40.25 - 38.75 = 1.5

She worked one and a half more hours in the second week.
7 0
3 years ago
a triangular prism has an isosceles right triangular base with a hypotenuse of square root of 32 and a prism height of 12. a squ
omeli [17]

Answer:

The lengths of the sides of the square base are  2\sqrt{2}\ units

Step-by-step explanation:

<u><em>The correct question is</em></u>

A triangular prism has an isosceles right triangular base with a hypotenuse of square root of 32 and a prism height of 12. a square prism has a height of 12 and its volume is equal to that of the <em><u>triangular</u></em> prism. what are the dimensions of the square base, in simplest radical form?

we know that

The volume of a prism is given by the formula

V=Bh

where

B is the area of the base

h is the height of the prism

so

If the volumes of the solids are the same and their  heights are the same, then the area of the base of the triangular prism must be equal to the area of the base of the square prism

step 1

Find the area of the base of the triangular prism

Remember that in a right isosceles triangle, the two legs are equal

Let

x ---> the length side of each leg

Applying the Pythagorean Theorem

(\sqrt{32})^2 =2x^2

x^2=32/2\\x^2=16\\x=4\ units

The area of the triangular base is equal to

A=\frac{1}{2}(4)(4)=8\ units^2

step 2

Find the dimensions of base of the square prism

Let

b ---> the length side of the square base

The area of a square is given by the formula

A=b^2

we have

A=8\ unit^2 ----> is the same that the area of triangle

substitute

8=b^2

b=2\sqrt{2}\ units

therefore

The lengths of the sides of the square base are  2\sqrt{2}\ units

3 0
3 years ago
What is the surface area of a sphere with a radius of 20 m?
navik [9.2K]
SA=4pir^2
r=20m
SA=4pi20^2
SA=4pi400
SA=1600pi m^2
8 0
3 years ago
Read 2 more answers
Which function grows at the fastest rate for increasing values of x?
Andreyy89
Take derivitive of each

f'(x)=9
g'(x)=4
h'(x)=12x

so duh, when x>0.75 then h(x) grows at fastest rate, after that. it just keeps going up
7 0
3 years ago
Read 2 more answers
Which of the following is the equation of a line parallel to the line y = 3x + 2,
earnstyle [38]

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 2 is in this form with slope m = 3

• Parallel lines have equal slopes, hence

y = 3x + c ← is the partial equation of the parallel line

To find c substitute (10, 1) into the partial equation

1 = 30 + c ⇒ c = 1 - 30 = - 29

y = 3x - 29 ← in slope- intercept form

Subtract y from both sides

0 = 3x - y - 29 ( add 29 to both sides )

29 = 3x - y, thus

3x - y = 29 ← in standard form → B

3 0
3 years ago
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