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2 years ago

Find the length of the third side. If necessary, round to the nearest tenth. 15 12

Mathematics

1 answer:

torisob [31]2 years ago

5 0

I think that it is 19.2

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Write the equation of circle b with center B(-2,3) that passes through (1,2)

professor190 [17]

Answer:

$(x+2)^2 + (y-3)^2 = 10$

Step-by-step explanation:

The standard equation for circle is

$(x-a)^2 + (y-b)^2 = r^2$

where point (a,b) is coordinate of center of circle and r is the radius.

______________________________________________________

Given

center of circle =((-2,3)

let r be the radius of circle

Plugging in this value of center in standard equation for circle given above we have

$(x-a)^2 + (y-b)^2 = r^2 \ substitute (a,b) \ with (-2,3) \\=>(x-(-2))^2 + (y-3)^2 = r^2 \\=>(x+2)^2 + (y-3)^2 = r^2 (1)$

Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.

Plugging in the point (1,2 ) in equation 1 we have

$\\=>(x+2)^2 + (y-3)^2 = r^2 \\=> (1+2)^2 + (2-3)^2 = r^2\\=> 3^2 + (-1)^2 = r^2\\=> 9 + 1 = r^2\\=> 10 = r^2\\=> r^2 = 10\\$

now we have value of r^2 = 10, substituting this in equation 1 we have

Thus complete equation of circle is $=>(x+2)^2 + (y-3)^2 = r^2\\=>(x+2)^2 + (y-3)^2 = 10$

7 0

3 years ago

Evaluate -8w + 3z when w = 2.2 and z = -9.1.

atroni [7]

-8w+3z
w=2.2
z=-9.1

-8(2.2)+3(-9.1)
-17.6-27.3
-44.9

The answer is -44.9

8 0

3 years ago

Read 2 more answers

Slope and y-intercept form from a table

dsp73

Answer:

The y-intercept is 3

Gradient: 4

11-3= 8

2-0= 2

8/2= 4

Hope this helped!

4 0

2 years ago

An average response rate for a marketing letter is 4%, meaning that 4% of the people who receive the letter respond to it. A com

kherson [118]

$\frac{65}{2400} \times 100\% \\ = 2.71\%$

Answer : No, the new type of letter wouldn't be considered as a success because its response rate (2.71%) is lower than the average response rate which is 4%.

Hope this helps. - M

7 0

3 years ago

A sweater was on sale at 40% off the regular price. Ella saved 20$ by buying the sweater on sale. What was the regular price of

barxatty [35]

Answer:

the answer is $50 for the full price of the sweater

Step-by-step explanation:

if you know $20 is 40% what is 20% it is $10 and then multiple it by 5 because 20 times 5 is 100 and you get 50

8 0

3 years ago