3 years ago

Please if In the xy plane line y= 2x+4, y=x-5 intercept at which point?

Mathematics

1 answer:

Monica [59]3 years ago

3 0

It will intercept at (-9,-14)

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Limit as x approaches 9 of x^2 -81/sqrt of x - 3

Ipatiy [6.2K]

Answer:

108

Step-by-step explanation:

Limit as x approaches 9 of x^2 -81/sqrt of x - 3

First substitute x into the expression

= 9²-81/√9 - 3

= 81-81/3-3

= 0/0 (indeterminate)

Apply l'hospital rule

= lim x -> 9 d/dx(x²-81)/√x - 3

= lim x -> 9 2x/1/2√x

Substitute x = 9

= 2(9)/1/2√9

=18/1/(2(3)

=18 × 6/1

= 108

Hence the limit of the function is 108

7 0

3 years ago

what is the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube

Dmitrij [34]

Let the least possible value of the smallest of 99 cosecutive integers be x and let the number whose cube is the sum be p, then

$\frac{99}{2} (2x+98)=p^3 \\ \\ 99x+4,851=p^3\\ \\ \Rightarrow x=\frac{p^3-4,851}{99}$

By substitution, we have that $p=33$ and $x=314$ .

Therefore, <span>the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube is 314.</span>

3 0

3 years ago

Select the equation that represents the graph of the line.

vesna_86 [32]

Answer:

C. y = 1/2x +2

yes i believe so,

6 0

3 years ago

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Which angle relationship alone could be used as a reason that two angles are congruent?

zimovet [89]

Supplementary angles

7 0

3 years ago

What is y if -5-(15y-1)=2(7y-16)-y

MrRissso [65]

Answer:-19=33y

Step-by-step explanation:

-5-15y-1=14y-32y

-19-15y=18y

18y+15y

-19=33y

3 0

3 years ago