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frez [133]
3 years ago
10

Write an equation of the circle with center (-5,2) and radius 4.

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
3 0
(x+5)² + (y-2)² = 4²
Answer: (x+5)² + (y-2)² = 16
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2. The length of XZ is 28 units. If XY = 2x + 2 and YZ = 9x – 7, what are the lengths of XY and
Novosadov [1.4K]

Answer:

XY = 8 and YZ = 20

Step-by-step explanation:

If XY and YZ are on the one line, we can write

XY + YZ = 28

(2x+2) + (9x - 7) = 28

2x+2 + 9x - 7 = 28

11x - 5 = 28

11x = 33

x = 3

XY = 2x+2 = 2*3 + 2 = 8

YZ = 9x - 7 = 9*3 - 7 = 27 - 7 = 20

8 0
3 years ago
Use lagrange multipliers to find the shortest distance, d, from the point (4, 0, −5) to the plane x y z = 9.
zlopas [31]
One function you would be trying to minimize is 
<span>f(x, y, z) = d² = (x - 4)² + y² + (z + 5)² </span>

<span>Your values for x, y, z, and λ would be correct, but </span>
<span>d² = (20/3 - 4)² + (8/3)² + (-7/3 + 5)² </span>
<span>d² = (8/3)² + (8/3)² + (8/3)² </span>
<span>d² = 64/3 </span>
<span>d = 8/sqrt(3) = 8sqrt(3)/3</span>
4 0
3 years ago
Find the number by which 4732 should be divided to get perfect square.
ElenaW [278]

Answer:

The required number is 7.

Dividing by this gives the perfect square 676.

Step-by-step explanation:

Finding the prime factors:

2) 4732

2) 2366

7) 1183

13)169    

     13

So 4372

= 2^2 * 7 * 13^2

= 4 *169 * 7

= 676 * 7

Now 676 is a perfect square so the answer is 7.

= 1283 * 4.

Answer is 1283.

8 0
3 years ago
Find f(-2) f(x)=9x^2-5x+2
borishaifa [10]

Find f(-2) f(x)=9x^2-5x+2


f(-2) means replace x in the equation with -2:


f(-2)=9(-2)^2-5(-2)+2

= 9(4) +10 + 2

= 36 +10 + 2

= 48


f(-2) = 48



4 0
3 years ago
2 Points<br> What is sin 60°
sweet-ann [11.9K]

Answer:

As in Decimal: 0.86602540378

Angle Tan=Sin/Cos

30°          1 √3 = √3 3

45°          1

60°     √3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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