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Leno4ka [110]
3 years ago
12

Simplify the radical expression. Leave in radical form. Show your work √75 + √3 √75 + √3

Mathematics
1 answer:
victus00 [196]3 years ago
3 0
=
15
+
6
3
(Decimal: 25.392305) also if you need a calculater for algebra like this go to papa calculater.com
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7 0
3 years ago
If the telescope is 1 m deep and 8 m wide, how far is the focus from the vertex?
marysya [2.9K]
First, let me introduce the general equation of the parabola:

(x-h)^2 = +/- 4a(y-k) or (y-k)^2=+/- 4a(x-h), where

(h,k) are the coordinates of the vertex
a is the distance of the vertex to the focus
4a = length of lactus rectum or the focal width

If the equation contains (x-h)^2, then the parabola passes the x-axis twice. Similarly, (y-k)^2 passes the y-axis twice. If the sign is (-), it opens to the left(if y-axis) or downward (if x-axis). If the sign is (+), it opens to the right(if y-axis) or upward (if x-axis). 

The equation of the parabola is -1/12 x^2 = y. Rearranging to the general form:

x^2 = -12y
Therefore, 

-4a = -12
4a = 12
a = 3, and the parabola is facing downwards.

The vertex is (0,0) at the origin.
The focus is (0,-3). Since it is negative, the focus is situated downwards, hence -3.
The directrix is the mirror image of the focus. Hence, it is a line passing +3 on the y-axis. y=3
Focal width is 4a which is equal to 12 units.
4 0
3 years ago
At Pathmark, 4 pounds of pork chops cost $12.60 and 5 pounds of ground beef cost $10.25. Find the total cost of 11 pounds of por
Ivahew [28]

Answer:

Let pork chops and ground beef be x and y respectively.

4x = $12.60

x = $3.15

11x = $34.65

5y = $10.25

y = $2.05

12y = $24.60

11x + 12y = $34.65 + $24.60

              = $59.25

7 0
3 years ago
Find the similarity ratio of a prism with surface area 36 feet squared to a similar prism with surface area 225 feet squared
sashaice [31]

Answer:   6:15___{2:5}

The reduce it by dividing by 3.

6/3 =2.

15/3 =5.

= {2:5}

3 0
3 years ago
Solve the system of linear equations. (enter your answers as a comma-separated list. if there is no solution, enter no solution.
SashulF [63]
There is no system to solve for
6 0
3 years ago
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