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worty [1.4K]
2 years ago
11

F(7) if f(x)=-3x-2 ​

Mathematics
1 answer:
Paul [167]2 years ago
4 0

Answer:

f(7) = -23

Step-by-step explanation:

f(x) = -3x - 2

f(7) = -3(7) - 2

f(7) = -21 - 2 = -23

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✨ B R A I N L I E S T
miv72 [106K]

1

:x

2

+y

2

−6x−9y+13=0

(x−3)

2

+(y−

2

9

)

2

−9−

4

81

+13=0

(x−3)

2

+(y−

2

9

)

2

=

4

65

Here,

r

1

=

2

65

C

1

=(3,

2

9

)

Equation of another circle-

S

2

:x

2

+y

2

−2x−16y=0

(x−1)

2

+(y−8)

2

−1−64=0

(x−1)

2

+(y−8)

2

=65

Here,

r

2

=

65

C

2

=(1,8)

Distance between the centre of two circles-

C

1

C

2

=

(3−1)

2

+(8−

2

9

)

2

C

1

C

2

=

4+

4

49

=

2

65

∣r

2

−r

1

∣=

∣

∣

∣

∣

∣

∣

65

−

2

65

∣

∣

∣

∣

∣

∣

=

2

65

∵C

1

C

2

=∣r

1

−r

2

∣

Thus the two circles touches each other internally.

Since the circle touches each other internally. The point of contact P divides C

1

C

2

externally in the ratio r

1

:r

2

, i.e.,

2

65

:

65

=1:2

Therefore, coordinates of P are-

⎝

⎜

⎜

⎜

⎜

⎜

⎛

1−2

1(1)−2(3)

,

1−2

1(8)−2(

2

9

)

⎠

⎟

⎟

⎟

⎟

⎟

⎞

=(5,1)

Therefore,

Equation of common tangent is-

S

1

−S

2

=0

(5x+y−6(

2

x+5

)−9(

2

y+1

)+13)−(5x+y−2(

2

x+5

)−16(

2

y+1

))=0

2

−6x−9y−13

+x+8y+13=0

4x−7y−13=0

Hence the point of contact is (5,1) and the equation of common tangent is 4x−7y−13=0.

4 0
3 years ago
Read 2 more answers
Determine the time necessary for P dollars to double when it is invested at interest rate r compounded annually, monthly, daily,
kipiarov [429]

9514 1404 393

Answer:

  • annually: 9.01 years
  • monthly: 8.69 years
  • daily: 8.67 years
  • continuously: 8.66 years

Step-by-step explanation:

For interest compounded in discrete intervals, the formula is ...

  A = P(1 +r/n)^(nt)

We want to find t for P=1 and A=2, so we have ...

  2 = (1 +r/n)^(nt)

  ln(2) = nt·ln(1+r/n)

  t = ln(2)/(n·ln(1+r/n))

A table of values for r=0.08 is attached.

__

For continuous compounding, the formula is ...

  A = Pe^(rt)

  t = ln(A/P)/r = ln(2)/0.08 ≈ 8.66434 . . . . years

__

  • annually: 9.01 years
  • monthly: 8.69 years
  • daily: 8.67 years
  • continuously: 8.66 years

5 0
2 years ago
Help someone please!
kiruha [24]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
Whats the answer to 3+2h=7
Brut [27]

Greetings! Hope this helps!

Answer

3 + 2h = 7

-3           -3

2h = 4

/2    /2

h = 2

Have a good day!

_______________

A brainliest would help tons! :D

5 0
3 years ago
Read 2 more answers
The altitude of a plane is 1,600 ft. What must be the altitude of a submarine so that the sum of their altitudes is 0?
RSB [31]
You must mean the depth of the submarine.

to make  sum = zero the depth of the sub must be -1600 ft..
7 0
3 years ago
Read 2 more answers
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