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enot [183]
3 years ago
6

Aimee is decorating her new house. She found a table at pier one for $425. If the table is 25% off, what will it cost?

Mathematics
2 answers:
Feliz [49]3 years ago
6 0
The table will cost $106.25.
mars1129 [50]3 years ago
3 0

Answer:

424.75

Step-by-step explanation:

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Read 2 more answers
Find the standard form of the equation for the conic section represented by x^2 + 10x + 6y = 47.
Levart [38]

Answer:

The standard form of the equation for the conic section represented by x^2\:+\:10x\:+\:6y\:=\:47 is:

4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2

Step-by-step explanation:

We know that:

4p\left(y-k\right)=\left(x-h\right)^2 is the standard equation for an up-down facing Parabola with vertex at (h, k), and focal length |p|.

Given the equation

x^2\:+\:10x\:+\:6y\:=\:47

Rewriting the equation in the standard form

4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2

Thus,

The vertex (h, k) = (-5, 12)

Please also check the attached graph.

Therefore, the standard form of the equation for the conic section represented by x^2\:+\:10x\:+\:6y\:=\:47 is:

4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2

where

vertex (h, k) = (-5, 12)

7 0
3 years ago
ABCD is a rectangle. Find the length of each diagonal.ac=2(5a+1) bd=2(a+1).
Igoryamba
   
Rectangle diagonals are equal.

2(5a+1) = 2(a+1)
10a + 2 = 2a + 2
10a -2a = 2 - 2
8a = 0
⇒ a = 0

AC = 2(5a+1)  = 2(5 × 0 +1)= 2(0 + 1) = 2 × 1 = 2 <span> 
</span>BD = 2(a+1) = 2(0 + 1) = 2 <span>× 1 = 2
</span>
Ansver:   AC = BD = 2 



7 0
3 years ago
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