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jok3333 [9.3K]
2 years ago
6

Evaluate. PLEASE HELP QUICK!

Mathematics
1 answer:
Alinara [238K]2 years ago
5 0

Answer:

54

Step-by-step explanation:

4^3-4/2*5

4^3=64

64-4/2*5

-4/2=-2

64-2*5

-2*5=-10

64-10=54

Parenthesis

Exponent

Multiply or Divide (whichever comes first)

Add or Subtract (whichever comes first)

Hope this helps

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What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?
telo118 [61]

Answer:

f(x)=-\frac{1}{8}(x-3)^2+3

Step-by-step explanation:

We want to find the equation of the parabola with a focus of (3,1) and directrix y=5.

Considering the directrix, the quadratic graph must open downwards.


The equation of this parabola is given by the formula,

(x-h)^2=4p(y-k), where (h,k) is the vertex of the parabola.


The axis of this parabola meets the directrix at (3,5).

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,


h=\frac{3+3}{2}=3 and k=\frac{5+1}{2}=3.


The equation of the parabola now becomes,


(x-3)^2=4p(y-3).


Also |p| is the distance between the vertex and the directrix.


|p|=2


This implies that p=-2\:or\:2.


Since the parabola turns downwards,


p=-2.



Our equation now becomes,


(x-3)^2=4(-2)(y-3).


(x-3)^2=-8(y-3).


We make y the subject to get,

y=-\frac{1}{8}(x-3)^2+3).


This is the same as

f(x)=-\frac{1}{8}(x-3)^2+3).









4 0
2 years ago
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erica [24]

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8 0
2 years ago
For the purpose of purchasing new baseboard and​ carpet, complete parts a and b below.
Phantasy [73]

Answer:

(a)i. Area=72 square feet

ii. Perimeter =34 feet

(b) Baseboard - perimeter

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Step-by-step explanation:

The room is 9ft x 8ft, therefore it is rectangular shaped.

Length=9ft; Breadth=8ft

(a)i. Area of a Rectangle= Length X Breadth

Area of the room=8X9=72 square feet

ii. Perimeter of a Rectangle=2(Length+Breadth)

Perimeter of the room=2(8+9)=2 X 17 =34 feet

(b) A baseboard goes around the edge or boundary of the room, so it has to do with perimeter

A carpet covers the entire floor so it has to do with the area of the room.

3 0
3 years ago
I’ll give points + brainalist for answer / explanation
Fynjy0 [20]

Answer:

C. the circumference of a circle

Step-by-step explanation:

The perimeter of a square is the length of the outside, which is found by adding all the side lengths. The circumference of a circle is similar because it is also the length of the outside of the shape.

3 0
3 years ago
Help on this question plss!
GuDViN [60]
Adding 4 to both side is wrong he has to be subtract 4 to both side
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3 years ago
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