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3 years ago

What is the limit of ln(x-5) as x approaches 5 from the right?

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

8 0

$\lim_{x \to 5} ln(x-5)$
As x approaches 5 from the right, ln(x - 5) approaches -∞

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Question 2-4

Gnoma [55]

Step-by-step explanation:

-x/3 < -4

-x < -12

x > 12

5x +11 ≤ -4

5x ≤ -4-11

5x ≤ -15

x ≤ -3

therefore, the solution is

x ≤ -3 or x > 12

8 0

2 years ago

Can you please help with #2

Alenkinab [10]

Turn 1 7/8 into 15/8
15/8 times 4/5 is60/40
60/40 is 1.5

3 0

3 years ago

Points H and F lie on circle c What is the length of line segment GH?

Nina [5.8K]

Answer:

6 units

Step-by-step explanation:

Given: Points H and F lie on circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

$(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2}$ ......(ΔEGC is a right triangle)

$(GC)^{2} = (GE)^{2} +(EC)^{2}$

$(GH + 9)^{2} = (9)^{2} +(12)^{2}$

$(GH )^{2} + (9)^{2} + 18GH = 81 + 144$

$(GH )^{2} + 81 + 18GH = 81 + 144$

$(GH )^{2} + 18GH = 144$

Now, Let GH = <em>x</em>

$x^{2} +18x = 144$

On rearranging,

$x^{2} +18 x - 144 = 0$

$x^{2} - 6x +24x + 144 = 0$

$x (x-6) + 24 (x - 6) =0$

$(x - 6) (x + 24) = 0$

So x = 6 and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

3 0

3 years ago

Read 2 more answers

W=1/9(x+y-z)<br> what’s the answer please help

KatRina [158]

Answer:

1/9x+1/9y-1/9z

Step-by-step explanation:

3 0

3 years ago

The sum of two numbers is 85. If four times the smaller number is subtracted from the larger number, the result is 5. Find the t

Cerrena [4.2K]

Answer:

the larger number is 69

the smaller number is 16

Step-by-step explanation:

x is the smaller number

y is the larger number

x + y = 85

y - 4x = 5

y = 5 + 4x

x + 5 + 4x = 85

5x = 80

x = 16

y = 69

5 0

2 years ago