Answer:
12 units
Step-by-step explanation:
Given the points :
R(−3, 2) - - - > S(2, 2) - - - - > T(2, −5).
Distance between R and S
Distance between two points is obtained thus :
D = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Distance between R and S
x1 = - 3 ; y1= 2 ; x2 = 2 ; y2 = 2
D1 = sqrt((2 - (-3))^2 + (2 - 2)^2)
D1 = sqrt((5^2 + 0^2))
D1 = sqrt(25)
D1 = 5
Distance between S and T
x1 = 2 ; y1= 2 ; x2 = 2 ; y2 = - 5
D2 = sqrt((2 - 2)^2 + (-5 - 2)^2)
D2 = sqrt((0^2 + (-7)^2))
D2 = sqrt(49)
D2 = 7
Hence, total length = D1 + D2 = 5 + 7 = 12 units
Answer: Option A
Center: (3,-2)
Radius: 6
Rewrite in standard form to find the center (h,k) and radius r.
Partial quotient is an easy step by step method where partial answer is obtained in each step.
Here the divisor is 14. So, let's multiply 14 with 10.
Hence, 14*10=140
Given dividend= 575.
Now subtract 140 from 575.
1)So, 575- 140 = 435
Notice 140 further goes from 435. Let's subtract another 140 from 435 and we can keep repeating this method till it won't further goes.
2)435-140=295
3)295-140=155
4)155-140= 15
Now 140 cannot taken out from 15. But we can take out simply 14 from 15.
5)Hence, 15-14 =1
So, the partial quotient is 10+10+10+10+1= 41.
So, the quotient is 41.
Do 15 divided by 24, that should get you the anwser.
Answer: You have the correct answer. It's choice B
Domain = 
Nice work.
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Explanation:
The domain of g(x) is found by setting 2-5x greater than or equal to 0 and solving for x. We're doing this to ensure that 2-5x is not negative.
So we can plug in any number smaller than 2/5, or we can plug in 2/5 itself, into the g(x) function to get some output.
However, notice that if x = 2/5, then g(x) = 0. This then would feed into the f(x) function and lead to a division by zero error. Therefore, x = 2/5 must be kicked out of the domain of (f o g)(x). We keep everything else that we found earlier.
In short, the domain as an inequality is 
, which is the same as saying 
and that converts to the interval notation
We don't use a square bracket because we don't want to include the endpoint 2/5.
