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3 years ago

What is the domain of the function 9x/x^2-4

1 answer:

7 0

Domain: The set of all possible input values (commonly the "x" variable) It is the set of all real numbers for which a function is mathematically defined.

 $\mathrm{The\:function\:domain} \ x\ \textless \ 0 \ or \ x\ \textgreater \ 0$

The function has noun defined points nor domain constraints. Therefore,
the domain is x=0

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An architect is sketching a blueprint of a patio for a new fence. On the blueprint, C is the midpoint of segment AD. Point B is

Gre4nikov [31]

Answer:

The length of AD is 32 feet

Step-by-step explanation:

Proportional distances

When distances are proportions of others, we can express all of them as relative fractions until we reach some known distance and solve for the desired length

Let's call x the length of AD. Given C is the midpoint of AD, then

$\displaystyle AC=CD=\frac{x}{2}$

Given B is the midpoint of AC, then

$\displaystyle AB=BC=\frac{AC}{2}=\frac{x}{4}$

If we know BC=8 feet

$\displaystyle \frac{x}{4}=8\ feet$

$\displaystyle x=32\ feet$

The length of AD is 32 feet

4 0

3 years ago

Yo i’m stuck hahahelp ASAP -4 3/8 - (-1 1/4)

hjlf

Answer:

I hope this helps

Step-by-step explanation:

-3 1/8

5 0

3 years ago

Read 2 more answers

Petra eats five and three fifths pies in a pie-eating contest. Paulie eats three and fourteen sixteenths pies in the contest. Ho

Alex777 [14]

Answer:

2 7/20

Step-by-step explanation:

So Lets put these into a fraction form

Petra: 5 3/5

Pauline: 3 4/16 -> Can be Simplified = 3 1/4

Take the number of pies Petra Ate and subtract it by the number of pies Pauline ate

Change the numbers to a common factor. (multiply 3/5 by 4 and 1/4 by 5 to have common denominators)

$5 \frac{12}{20} - 3 \frac{5}{20}$

Make These Into a Mixed Fraction

$\frac{112}{20} -\frac{65}{20}$

Subtract 112-65

$\frac{47}{20}$

Simplify (divide 47 into 20 how many times to get into a mixed fraction)

$2 \frac{7}{20}$

I think this is right. Hope This Helps

7 0

3 years ago

Read 2 more answers

What is the greatest measure of length? A. 5,000 meters B. 6,000 centimeters C. 30,000 millimeters D. 1 kilometer

Bess [88]

Answer: A. 5,000 meters

Step-by-step explanation:

Starting with the smallest unit which is option C. There are 10 millimeters in one centimetre. Option c in centimeters is:

= 30,000 / 10

= 3,000 meters.

Option c is smaller than B and so is incorrect.

A meter is 100 centimeters. Option b in meters is;

= 6,000 / 100

= 60 meters

This is less than option A so is incorrect.

A kilometer is 1,000 meters so option A in meters is:

= 5,000 / 1,000

= 5 kilometers

This is higher than option d so option A is correct.

3 0

3 years ago

URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (39pt

Musya8 [376]

Answer:

ΔMNO= 90°, m = 7.316 cm, n = 16.69 cm

Step-by-step explanation:

The little square in the corner tells you that the angle is 90°

Calculating the length of m

We know that the Tangent of an angle is gotten by dividing the opposite side by the adjacent side, i.e,

Tan Ф = Opposite ÷ Adjacent

hence:

Tan 26° = m ÷ 15

0.4877 = m / 15

make m the subject and multiply both sides by 15

0.4877 × 15 = m / 15 × 15

7.3155 = m

∴ m = 7.316 cm

Calculating the length of n

For this we can use the Pythagoras theorem that states, a² + b² = c² where m = a, b = 15 cm and c = n. Hence:

7.316² + 15² = c ²

53.52 + 225 = c ²

278·52 = c ²

c = √278·52

c = 16.69

∴ n = 16.69 cm

We could also use the Cosine of ΔOMN to get length n i.e,

The Cosine of an angle is equal to the adjacent side divided by the hypotenuse.

Cosine Ф = Adjacent ÷ Hypotenuse

Cosine 26° = 15 cm ÷ n

0.8987 = 15 / n

Make 15 the subject and multiply both sides by n

0.8987 × n = 15 / n × n

0.8987 n = 15

Divide both sides by 0.8987

0.8987 n ÷ 0.8987 = 15 ÷ 0.8987

∴ n = 16.69 cm

Hope this helps!

8 0

3 years ago