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kotegsom [21]
2 years ago
15

For #36, why is the answer 4? Plz explain.

Mathematics
1 answer:
luda_lava [24]2 years ago
6 0

I am getting 7 as the value of b. I do not believe 4 is a correct answer!

Here's why:

General equation of a circle in the xy plane

(x-c_x)^2+(y-x_y)^2=r^2

with c_x\,\,\mbox{and}\,\,c_y being the x,y coordinates of the center.

The center point can be determined from the two endpoints of the diameter because the line segment is horizontal, so we just find the center of the x coordinates of the two points:

c_x = -2+\frac{|8-(-2)|}{2}=3\\c_y = 3

and the radius r = diameter/2 = 8-(-2)/2 = 5

so we have

(x-3)^2+(y-3)^2=5^2

Given a point on the circle (0,b) with b>0:

(0-3)^2+(b-3)^2=5^2\\9+(b-3)^2 = 25\\(b-3)^2 = 16\\b=7

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Thanks in advance for your answer :)
MAXImum [283]

Answer:

x=5

Step-by-step explanation:

its easy just subtract 9 from 24 to get 15 and 15 divided by 3 is 5

7 0
3 years ago
Use the substitution method to determine the solution to the system of equations below. y-2x+2=1 6x - 3y = 3​
vaieri [72.5K]

Answer:

y = 2x - 1

Step-by-step explanation:

y - 2x + 2 = 1

6x - 3y = 3​

<u />

<u />y - 2x + 2 = 1 \\  +2x  - 2    +2x  - 2\\y = 2x - 1

Plug in for y:

6x - 3(2x - 1) = 3​

6x - 6x + 3 = 3

Simplified, 3 = 3

7 0
2 years ago
Read 2 more answers
Which expression below has the same value as 9 to the power of 6
dimulka [17.4K]
The answer is c. 9x9x9x9x9x9
5 0
3 years ago
Read 2 more answers
REALLY NEED HELP!!!<br> PLZ
lbvjy [14]
I'm confused with your worksheet. Do you have to write the improper fraction next to the Mixed number and write the Mixed number next to the improper fraction?
7 0
2 years ago
Saline solution A is 10% strength and saline solution B is 5% strength. I have an order for 6 litres of an 8% saline solution. T
kupik [55]
Let x = volume of saline solution A,
y = volume of saline solution B.

We're going to set up two equations. 
Firstly, x + y = 6. That gives us y = 6 – x     (1)

Second, 0.1x + 0.05y = 0.08•6, 
or 0.1x + 0.05y = 0.48               (2)

Substitute (1) into (2):
0.1x + 0.05(6 – x) = 0.48
0.1x + 0.3 – 0.05x = 0.48
0.05x + 0.3 = 0.48

Subtract 0.3 from both sides:
0.05x = 0.18
x = 3.6
Then y = 6 – 3.6 = 2.4

So we have to use 3.6 litres of solution A and 2.4 litres of solution B.


7 0
2 years ago
Read 2 more answers
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