1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Salsk061 [2.6K]
2 years ago
14

If f(x) = (x^2-36)/(x+6) is continuous at x = -6, find f(-6) a)-12 b)12 c)6 d)-6

Mathematics
2 answers:
NeTakaya2 years ago
7 0

Answer:

A

Step-by-step explanation:

f(x)=\dfrac{x^2-36}{x+6}= \\\\\\\dfrac{(x-6)(x+6)}{x+6}= \\\\\\(x-6) \\\\\\f(-6)=((-6)-6)=-12

Therefore, the correct answer is choice A. Hope this helps!

My name is Ann [436]2 years ago
4 0

Answer:

=-12

Step-by-step explanation:

f(x) = (x^2-36)/(x+6)

Factor the numerator.  The numerator is the difference of squares  

(a^2 -b^2) = (a-b)(a+b)

f(x) = (x-6)(x+6)/(x+6)

Cancel the like terms

f(x) = x-6

f(-6) = -6-6

       = -12

You might be interested in
Consider the scatter plot.
Nataliya [291]
Negative association
6 0
2 years ago
Read 2 more answers
What's a prime number​
Andre45 [30]

Answer:

A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

4 0
3 years ago
In a parallelogram ABCD point K belongs to diagonal BD so that BK:DK=1:4. If the extension of AK meets BC at point E, what is th
olya-2409 [2.1K]

Answer:

\frac{BE}{EC} =\frac{1}{3}

Step-by-step explanation:

In the diagram below we have

ABCD is a parallelogram. K is the point on diagonal BD, such that

\frac{BK}{CK} =\frac{1}{4}

And AK meets BC at E

now in Δ AKD and Δ BKE

∠AKD =∠BKE                ( vertically opposite angles are equal)

since BC ║ AD and BD is transversal

∠ADK = ∠KBE     ( alternate interior angles are equal )

By angle angle (AA) similarity theorem

Δ ADK  and Δ EBK are similar

so we have

\frac{AD}{BE} =\frac{DK}{BK}

\frac{AD}{BE} =\frac{4}{1}

\frac{BC}{BE}=\frac{4}{1}     ( ABCD is parallelogram so AD=BC)

\frac{BE+EC}{BE}=\frac{4}{1}         ( BC= BE+EC)

\frac{BE}{BE} +\frac{EC}{BE}=\frac{4}{1}

1+\frac{EC}{BE}=4

\frac{EC}{BE}=3  ( subtracting 1 from both side )

\frac{EC}{BE}=\frac{3}{1}

taking reciprocal both side

\frac{BE}{EC} =\frac{1}{3}


8 0
3 years ago
Is flipping 2 coins dependent?
SVETLANKA909090 [29]

Answer:

No

Step-by-step explanation:

Flipping two coins is independent because the outcome of the first coin doesn't affect the outcome of the second coin. There is still a 1/2 chance of of getting heads or tails.

If this answer is correct, please make me Brainliest!

5 0
3 years ago
Read 2 more answers
X - 2y &gt; 6<br> please explain step by step
NemiM [27]

Answer:

Please see attached images for solution.

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • IF a 50 pound bag costs $6.36, which expression shows how much 1 pound costs?
    9·1 answer
  • 8.90 × 10^6 L has __ significant figures.
    6·2 answers
  • Convert 3 kilograms to ounces
    10·1 answer
  • When dealing with a loan, who benefits from compounding interest more frequently, and why?
    12·2 answers
  • Y = 4(x-6)( x + 4).<br> The vertex
    14·2 answers
  • How many times does 3 go into 136 mixed fraction
    8·1 answer
  • H=65-1.4x what is the initial value?
    15·1 answer
  • HEEELp PLEASEEEEEEE tank uuuuuuuuuu
    13·2 answers
  • What i the width of a rectangle when the length is 19.6 and the diagonal length is 20
    6·1 answer
  • 2. What is the volume of this prism?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!