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Zigmanuir [339]
2 years ago
11

Which of the following pair(s) of circles have /as a common internal tangent? Select all that apply.

Mathematics
1 answer:
grigory [225]2 years ago
4 0

Answer:

A and B, A and C

Step-by-step explanation:

A and B touch at T same as A and C. The tangent is in between the two circles but through the touching points. B and C share the tangent but externally since at T it does not pass in between them.

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Why is -a² is always negative (a ≠ 0) and why is (-a)² is always positive?
hjlf
-a^2=(-1)\cdot a\cdot a

Regardless of the sign of a, we have a\cdot a=a^2\ge0 (never negative). But multiplying by -1 makes it negative.

On the other hand,

(-a)^2=((-1)\cdot a)^2=(-1)^2\cdot a^2=1\cdot a^2=a^2

which can never be negative for real a.
6 0
3 years ago
The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number
Whitepunk [10]

Answer:

The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number?

the number is 2.409

Step-by-step explanation:

based on the question;

let the  number  N

1/6 of N = (1/6)N

21/2  of N = ( 5/2)N

now, the sum of  a number (N)  1/6 of that number(1/6)N , (5/2)N and 7  will be expressed as

N + ( 1/6)N + (5/2)N + 7 = 12 1/2

N + N/6 + 5N/2 + 7 = 25/2

find the lcm of the equation

we have;

(6N + N +15N + 42)/6= 25/2

(22N + 42)/6 = 25/2

Using cross multiplication we have

44N + 84 =  150

Collecting the like terms

44N = 150- 84

44N = 106

Divide both sides by 44

44N/44= 106/44

N = 2.409

3 0
3 years ago
URGENT. <br>Q) 18, 19, 20
notsponge [240]
18. s = 5r^2 + 7......making r the subject
      s - 7 = 5r^2
      (s - 7) / 5 = r^2...by taking the sqrt of both sides, it eliminates the ^2
     ( sqrt (s-7)/5) = r

19. h = ut - 1/2gt^2....u = 100, t = 1 4/5(or 9/5)...g = 6.4
      h = (100)(9/5) - 1/2(6.4)(9/5^2)
      h = 180 - 1/2(6.4)(3.24)
      h = 180 - 3.2(3.24)
      h = 180 - 10.368
      h = 169.632 or 169 79/125

20. sorry..do not know this one
4 0
3 years ago
Read 2 more answers
Write an expression for "8 times z."
garri49 [273]

Answer: 8z 8(z)

Explanation: well 8 times z is simply 8(z)I don’t really think there is another way

5 0
3 years ago
If you apply the changes below to the absolute value parent function, f(x) = [xl,
TEA [102]

Answer: g(x)=|x+8|-3

Questions please feel free to ask. Thanks

7 0
3 years ago
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