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GuDViN [60]
3 years ago
5

What number must you add to complete the square? x^2+26x=23

Mathematics
1 answer:
qaws [65]3 years ago
8 0

Answer:

169

Step-by-step explanation:

x²+26x=23

=> to complete the square, the equation should be : x²+26x + (26/2)² = 23 + (26/2)²

<=> x² +26x + 13² = 23 + 13²

<=> x² +26x +169 = 23 + 169

<=> (x+13)² = 192

so, (x+13)² is the square form , and 169 must be added to complete the square

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Find An Bif A = {3, 6, 9, 12) and B = {2, 4, 6, 8, 10).​
viva [34]

Answer:

The set A ∩ B contain {6, 12}

Step-by-step explanation:

Given : set A = {3, 6, 9, 12} and set B = {2, 4, 6, 8, 10, 12}

We have to find A ∩ B  

Consider the given sets

Set A = {3, 6, 9, 12}  

and set B = {2, 4, 6, 8, 10, 12}

Since, A ∩ B  includes those elements that are both in set A and set B.

Thus, the common elements of A and B are 6 and 12  

So , the set A ∩ B contain {6, 12}

4 0
3 years ago
Which system of equations can be used to find the roots of the equation 4x^5-12x^4+6x=5x^3-2x?
NemiM [27]

hello :   The answer is D,

the last system

the system is ;  

y =4x^5-12x^4+6x

y = 5x^3-2x

8 0
3 years ago
Read 2 more answers
A piece of iron weighs 250N in air and 200N in a liquid of density 1000kgm^-3 the volume of the iron is?
Gre4nikov [31]

Answer:

2.5 x 10-2 ms-8

Step-by-step explanation:

With in the air = 250N

wt. in the liquid = 200N

loss in wt. in the liquid = 250 - 200 = 50N

Wt. the liquid of equal vol. of the iron = 50N

If the density of the liquid is 1000 lgm-3

then the volume of the liquid = (N)/D = V = (25kg)/1000 =0.025m3 = 2.5 x 10-2 m8.

5 0
4 years ago
Find the extreme values of f on the region described by the inequality. f(x, y) = 2x2 + 3y2 − 4x − 2, x2 + y2 ≤ 16
Kruka [31]
Please, use "^" to denote exponentiation.  Your 2x2 should be written as 2x^2.

Your relationships are then f(x,y)=2x^2+3y^2-4x-2 
and                                                 x^2 + y^2 <span>≤ 16

Please note that the 2nd relationship represents a circle of radius 4 whose entire interior has been shaded.

Graph this.  Then, rewrite f(x,y) in the form f(x,y) = 2x^2 - 4x  + 3y^2 -2.  Can you identify the shape of the curve in the xy plane representing this function?  You'll need to find the points (x,y) in which the graph of f(x,y) intersects the shaded circle x^2 + y^2 </span><span>≤ 16. 
</span>
Think:  what do "extreme values of f" 
6 0
4 years ago
Yolanda, Hong, and Ahmad served a total of 70 orders Monday at the school cafeteria. Yolanda served 6 fewer orders than Ahmad. H
irina [24]

Answer:Yolanda served 13 orders.

Ahmad served 19 orders.

Hong served 38 orders.

Step-by-step explanation:

Let x represent the number of orders that Ahmad served.

Yolanda served 6 fewer orders than Ahmad. This means that the number of orders that Yolanda served is x - 6

Hong served 2 times as

many orders as Ahmad. This means that the number of orders that Hong served is 2x

Yolanda, Hong, and Ahmad served a total of 70 orders Monday at the school cafeteria. This means that

x - 6 + x + 2x = 70

4x - 6 = 70

4x = 70 + 6 = 76

x = 76/4 = 19

Hong served 2 × 19 = 38

Yolanda served 19 - 6 = 13

5 0
4 years ago
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