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nadya68 [22]
3 years ago
8

What is the value of b for the following circle in general form?

Mathematics
2 answers:
Alinara [238K]3 years ago
7 0

Answer:

the answer is indeed 4

Step-by-step explanation:

AlekseyPX3 years ago
5 0

The equation of a circle:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

Look at the picture. We have

center: (1, -2) → h = 1, k = -2

radius: r = 3

Substitute:

(x-1)^2+(y-(-2))^2=3^2\\\\(x-1)^2+(y+2)^2=9\ \ \ |\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2\\\\x^2-2(x)(1)+1^2+y^2+2(y)(2)+2^2=9\\\\x^2-2x+1+y^2+4y+4=9\ \ \ |\text{use commutative property}\\\\x^2+y^2-2x+4y+5=9\ \ \ \ |-9\\\\x^2+y^2-2x+4y-4=0\\\\Answer:\ a=-2,\ b=4,\ c=-4

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The area of a rectangle is x2 - 2x - 15 and the length of the rectangle is x + 3. Find the width of the rectangle.
Alexandra [31]
The area of the triangle could be determined by multiplying the length and the width. Since, we are given the area and the length, to find the width, you divide the area by the length:

w = A ÷ l
w = (x2 - 2x - 15) ÷ (x+3)

What do you have to multiply to (x+3) to yield x2 - 2x - 15? That would be x - 5. Since the sum of -5 and 3 = -2 (middle term) and the their product is -15 (last term).

Hence, the width is (x-5).
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3 years ago
Complete this statement: 20 a x 2 + 25 a x + 15 a = 5 a 20 a x 2 + 25 a x + 15 a = 5 a
liubo4ka [24]

Answer:

Step-by-step explanation:

(((22•5ax2) +  25ax) +  15a) -  5  = 0  

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  20ax2 + 25ax + 15a - 5  =  

 5 • (4ax2 + 5ax + 3a - 1)  

Equation at the end of step  3  :

 5 • (4ax2 + 5ax + 3a - 1)  = 0  

Step  4  :

Equations which are never true :  

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4 0
3 years ago
Which of the following differential equations has the slope field below
Nookie1986 [14]

The differential equation that has the given slope is: dy/dx = -xy.

<h3>How to find the differential equation that models the situation?</h3>

We have to look at the slope, given in the graph of the solution of the differential equation, and represented by dy/dx. From the graph, we have that:

  • In quadrants I and III, in which x and y have the same signal, the differential equation is decreasing, hence the slope is negative.
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The differential equation that is negative when x and y have the same signals and positive when they do not have is given by the following option:

dy/dx = -xy.

More can be learned about differential equations at brainly.com/question/14423176

#SPJ1

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2 years ago
What is the justification for each step in solving the inequality?
alekssr [168]
HELLO  ANNA!!

Given inequality
=> −2(x+1)≥3x+8
=>
- 2x - 2 \geqslant 3x + 8 \\ \\ add \: 2 \: in \: both \: sides \\ \\ - 2x \geqslant 3x + 10 \\ \\ subtract \: with \: - 3x \: in \: both \: sides \: \\ \\ - 5x \geqslant 10 \\

now multiply with - on both sides.

As we know now sign will change
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Now divide by 5 on both sides
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HOPE IT HELPED YOU.
4 0
3 years ago
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Question 1 (1 point)
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The correct answer would be 72.7%
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