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2 years ago

Given regular pentagon ABCDE, what are the coordinates of vertex C?

Mathematics

1 answer:

nata0808 [166]2 years ago

6 0

Answer: a

Step-by-step explanation: C is in quadrant 1 and quadrant 1 is (+,+)

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If VZ=p–7 and WY=p–21, what is the value of p?

sveta [45]

Using the midline property;

$2wy = vz$

$2(p - 21) = p - 7$

$2p - 42 = p - 7$

$2p - p = - 7 + 42$

$p = 35$

8 0

2 years ago

Find the domain of the function

Svetradugi [14.3K]

Answer:

The domain of f is (-∞,4)

Step-by-step explanation:

Domain of a Function

The domain of a function f is the set of all the values that the input variable can take so the function exists.

We are given the function

$f(x)=\frac{1}{\sqrt{4-x} }$

It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:

4 - x > 0

Subtracting 4:

- x > -4

Multiplying by -1 and swapping the inequality sign:

x < 4

Thus the domain of f is (-∞,4)

7 0

2 years ago

What is the constant of proportionality in the table shown ?

solmaris [256]

Answer:

Step-by-step explanation:

6 0

3 years ago

Help!!!How does the slope of g(x) compare to the slope of f(x)?

attashe74 [19]

we know that

The formula to calculate the slope m between two points is equal to

$m=\frac{(y2-y1)}{(x2-x1)}$

Step $1$

Find the slope of the function f(x)

Let

$A( 0,-2)\\B(1,0)$

substitute the values in the formula above

$m=\frac{(0+2)}{(1-0)}$

$m=2$

the slope of the function f(x) is $m=2$

Step $2$

Find the slope of the function g(x)

Let

$C( -4,0)\\D(0,2)$

substitute the values in the formula above

$m=\frac{(2-0)}{(0+4)}$

$m=\frac{2}{4}$

$m=\frac{1}{2}$

the slope of the function g(x) is $m=\frac{1}{2}$

therefore

slope f(x) > slope g(x)

slope g(x) < slope f(x)

the answer is the option

B.The slope of g(x) is less than the slope of f(x).

4 0

2 years ago

Read 2 more answers

Find the prime factorization of each number (please) 891 23 504 230

patriot [66]

Answer:

891 = 3^4 · 11
23 = 23
504 = 2^3 · 3^2 · 7
230 = 2 · 5 · 23

Step-by-step explanation:

23 is a prime number. That fact informs the factorization of 23 and 230.

The sums of digits of the other two numbers are multiples of 9, so each is divisible by 9 = 3^2. Dividing 9 from each number puts the result in the range where your familiarity with multiplication tables comes into play.

891 = 9 · 99 = 9 · 9 · 11 = 3^4 · 11

___

504 = 9 · 56 = 9 · 8 · 7 = 2^3 · 3^2 · 7

___

230 = 10 · 23 = 2 · 5 · 23

_____

Comment on divisibility rules

Perhaps the easiest divisibility rule to remember is that a number is divisible by 9 if the sum of its digits is divisible by 9. That is also true for 3: if the sum of digits is divisible by 3, the number is divisible by 3. Another divisibility rule fall out from these: if an even number is divisible by 3, it is also divisible by 6. Of course any number ending in 0 or 5 is divisible by 5, and any number ending in 0 is divisible by 10.

Since 2, 3, and 5 are the first three primes, these rules can go a ways toward prime factorization if any of these primes are factors. That is, it can be helpful to remember these divisibility rules.

6 0

3 years ago