Mathematics High School

I'm stuck on this problem also
Find the Perimeter of the polygon with the vertices X(-1,3), Y(3,0), and Z(-1,-2). Round the answer to the nearest hundredth

Answers

Answer 1
The perimeter is 14.47
 
Since you have 3 vertices, the polygon you have is a triangle. The sides of the triangle will be XY, XZ, and YZ. Just use the pythagorean theorem to calculate the length of each side and then add the lengths together for the result. Side XY = sqrt( (-1-3)^2 + (3-0)^2) = sqrt(16+9) = sqrt(25) = 5 Side XZ = sqrt ( (-1-(-1))^2 + (3-(-2))^2) = sqrt(0+25) = sqrt(25) = 5 Side YZ = sqrt( (3-(-1))^2 + (0-(-2))^2) = sqrt(16 + 4) = sqrt(20) = 4.47 Now add the length of each side together 5 + 5 + 4.47 = 14.47

Related Questions

how far will a bus travel if it averages a sped of 65 km/h for 7 hours?

Answers

 the bus travles
65x7=455 km 

The bus will go 455 km far if it averages a speed of 65 km/h for 7 hours the answer is 455 km.

What is the distance?

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

The speed of the bus = 65 km/h

The time taken = 7 hours

As we know,

The formula for finding the distance is given:

Distance = time×speed

Distance = 7x65

Distance = 455 km

Thus, the bus will go 455 km far if it averages a speed of 65 km/h for 7 hours the answer is 455 km.

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What is the lcm of 6 ,21 and 28 on?

Answers

The LCM Of two or more non-ZERO WHOLE NUMBERS is the smallest WHOLE NUMBER that is DIVISIBLE by each of those numbers. In other words, the LCM is the smallest number that all of the numbers DIVIDE into evenly.

ANSWER=84 :D

Find the principal amount invested if the amount in a monthly compounded account with a 5.1% interest rate is $9,996.32 after 54 months.

Answers

again, there are 12 months in a year, so 54 months is 54/12 years

[tex]\bf \qquad \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\to &\$9996\\ P=\textit{original amount deposited}\\ r=rate\to 5.1\%\to \frac{5.1}{100}\to &0.051\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\to &12\\ t=years\to \frac{54}{12}\to &\frac{9}{2} \end{cases}[/tex]

[tex]\bf 9996=P\left(1+\frac{0.051}{12}\right)^{12\cdot \frac{9}{2}}\implies \cfrac{9996}{\left(1+\frac{0.051}{12}\right)^{12\cdot \frac{9}{2}}}=P[/tex]

helppppppppppppp maTHHHH
evaluate this piecewise function at x=-4 and x=4

Answers

If x=-4, that means that since we have x² at x≤-4, it encompasses -4 (due to the line at the bottom). (-4)²=16. For 4, since 4>1 and it's √x if x is over 1, √4=2

Do even numbers have more factors in odd numbers or do i numbers have more factors than even numbers

Answers

It is because even numbers always have a factor of two, and therefore, larger composite even numbers will have factors of two and other even numbers based around two, such as 4, 8, 16, 32, and so on. On the other hand, numbers which are odd can have factors of 3, 5, and 7 for example, and their numbers based around them(3, 9, 27; 5, 10, 15; 7, 49, 343; and so on). If we look into it, notice how for odd numbers the space between the numbers based around 3, 5, and 7 are increasingly further apart. This is the reason why less large odd integers to have numerous factors. It is because odd numbers cannot have the prime factor 2, this will reduce their factor number. And is is also because even numbers are already divided by 2, this will give them more factors over the odd numbers.

Final answer:

Whether even or odd numbers have more factors depends on the specific properties of each number, such as its prime factor composition, rather than on the binary classification of being even or odd.

Explanation:

The question of whether even numbers have more factors than odd numbers or vice versa does not have a straightforward answer, as it varies from number to number. In general, the quantity of factors a number has depends more on the specific properties of that number, such as its composition of prime factors, rather than simply on whether it is odd or even. For example, a number like 2 (which is even) has only two factors (1 and itself), while an odd number like 9 has three factors (1, 3, and 9). Similarly, an even number such as 12 has more factors (1, 2, 3, 4, 6, and 12) than many other even and odd numbers. Therefore, the distinction between even and odd in terms of number of factors is not particularly meaningful without considering the specific characteristics of individual numbers.

Given that x is a number that is not negative, Kelvin conjectured that x^2>x+1 .

Which value is a counterexample to Kelvin's conjecture?

−12

−2

0

5

Answers

yep its 0   ........................................                 

Answer: x=0  is a counterexample to Kelvin's conjecture.


Explanation:-

Given that x is a number that is not negative, Kelvin conjectured that [tex]x^2>x+1[/tex]

A counter example is an example that contradicts or opposes the conjecture.

Thus -12 and -2 cannot be the value of x for the counter example as they are negative

The positive numbers in options are 0 and 5,such that

[tex]0^2>0+1\\\Rightarrow0>1...\text{which is not true.}[/tex]

[tex]5^2>5+1\\\Rightarrow25>6...\text{which is true.}[/tex]

Thus the value of x=0 contradicts the conjecture made by Kevin.

⇒x=0  is a counterexample to Kelvin's conjecture.


I don’t 100% remember how to turn this into a standard problem.. could someone help me really quick?

Answers

Standard form is ax^2+bx+c=0

First evaluate the exponent and expand (foil).
y= 3(x^2-4x+4)+1

Then distribute the 3
y= 3x^2-12x+12+1

Combine like terms
y=3x^2-12x+13

Final answer: 3x^2-12x+13=0

The volume of a cone varies jointly as the square of its radius and its height. if the volume of a cone is 99piπ cubic inches when the radius is 3 inchesinches and the height is 3 ​inches, find the volume of a cone when the radius is 4 inchesinches and the height is 9 inches.

Answers

Any answer choices ?

If a data set has 16 data values, the number of values in the upper quartile is ?

Answers

4 because a quartile is really one fourth of the entire amount and if the entire amount is 16, the upper quartile will consist of 4 values. This was arrived at by simply finding 1/4 of 16 or by dividing 16 by 4.

Answer:

4

Step-by-step explanation:

Quartiles divide the data into 4 equal parts. So, each quartile will have 16/4= 4  values. Therefore, the number of values in the upper quartile is 4.

During the first day of a heat wave and emergency room had three times as many patients as the day before they were 48 patients seen total over there today. How many patients visited the ER on each day

Answers

Answer: 16 patients
In this question, we know that the ER the ratio number of the patient when heat wave compared to yesterday(3 times) and the number of patients today (48 patient).
Since 48 patient of today is 3 times more than yesterday, then the number of patient visit ER each day(without heat wave) is:

Patient when heat wave= 3x normal patient visit
48 patient = 3x Normal patient visit
Normal patient visit = 48/3= 16 patients

A home file is the place where you should keep financial records that you may need to access regularly? True or False

Answers

true! we have an excel file called moneydoc.xls
The answer is TRUE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

How many ways can 5 different colored balls be placed into bins labeled 1 through 8 so that no bin contains more than one ball?

Answers

40. the number of bins x the number of balls = 40 combinations 

The number of ways 5 different colored balls be placed into bins labeled 1 through 8 so that no bin contains more than one ball is 336.

What is the Permutations?

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.

Given that, 5 different colored balls be placed into bins labeled 1 through 8.

We know that, P(n, r) =n!(n-r)!

Here, P(8, 5) = 8!/(8-3)!

= 8×7×6×5!/5!

= 8×7×6

= 336

Therefore, the number of ways 5 different colored balls be placed into bins labeled 1 through 8 so that no bin contains more than one ball is 336.

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Which of the following numbers is classified as an irrational number?
A.) Square root of 72
B.) 7.444444
C.) -3
D.) -1/20

Answers

A. square root of 72 because it is a non repeating decimal

Find the lowest common denominator of and . A. (p + 2) B. (p + 5)(p + 3) C. (p + 5)(p + 2)(p + 3) D. (p + 2)2

Answers

The lowest (or least) common denominator also written as LCD is the smallest of all the possible common denominators, where the denominator is the bottom number in a fraction.
We should find the lowest common denominator of (p+3)/(p^2+7p+10) and (p+5)/(p^2+5p+6). 
p^2+7p+10 can be written as a product: (p+5)(p+2)
p^2+5p+6 can be written as a product: (p+3)(p+2)
So, we should find the LCD for (p+5)(p+2) and (p+3)(p+2). The smallest possible number that can be divided with both of them is:(p + 5)(p + 2)(p + 3) 
Solution C.

Hanks pickup can travel 52 miles on 4 gallons of gas. How many gallons will habh pickup need to travel 26 miles?

Answers

Final answer:

To determine how many gallons Hanks' pickup will need to travel 26 miles, a proportional relationship was used based on the known mileage of traveling 52 miles on 4 gallons. The calculation revealed that 2 gallons of gas will be needed for the 26-mile journey.

Explanation:

The student's question about fuel consumption can be solved using a simple proportional relationship. Since Hanks' pickup can travel 52 miles on 4 gallons of gas, we can find out how many gallons will be necessary to travel half of that distance, which is 26 miles. By setting up a proportion, we can find the answer.

Steps to solve the problem:

Identify the known relationship between distance and gallons of gas: 52 miles = 4 gallons.Set up a proportion to find out how many gallons are needed for 26 miles, knowing that the relationship should remain constant: (52 miles / 4 gallons) = (26 miles / x gallons).Solve for x by cross multiplying: 52x = 4 * 26.Calculate the value of x: x = (4 * 26) / 52.Simplify to find the number of gallons needed: x = 2 gallons.

Therefore, Hanks' pickup will need 2 gallons of gas to travel 26 miles.

Final answer:

The pickup truck will need 2 gallons of gas to travel 26 miles.

Explanation:

To find out how many gallons the pickup will need to travel 26 miles, we can set up a proportion using the given information.

Since the pickup can travel 52 miles on 4 gallons of gas, the rate of miles per gallon is 52 miles/4 gallons = 13 miles/gallon.

Using this rate, we can set up the proportion: 13 miles/gallon = 26 miles/x gallons. Solving for x, we can cross multiply and divide: 13x = 26 * 1, x = 26/13 = 2.

Therefore, the truck will need 2 gallons of gas to travel 26 miles.

Write an equation of the description

A number x increased by 17 is 118.

Answers

in number form its X + 17 = 118

Is this increasing decreasing or constant F(x)=3x

Answers

hello : 
this increasing function  F(x)=3x because : the slope 3
is positif

At a baseball game, a vender sold a combined total of 123 sodas and hot dogs. The number of hot dogs sold was 53 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.

Answers

s + h = 123
h = s - 53

s + s - 53 = 123
2s - 53 = 123
2s = 123 + 53
2s = 176
s = 176/2
s = 88 <=== 88 sodas sold

h = s - 53
h = 88 - 53
h = 35 <== 35 hotdogs sold

How to do this exponent and simply and having positive exponents

Answers

(x^-2 x^-3)^4
= (x^-5)^4
= x^-20
= 1 / x^20
Final answer:

To multiply exponentials, multiply the base numbers and add exponents. Adjust the format to have one digit before the decimal, if necessary. To divide, divide the base numbers and subtract the exponents.

Explanation:

To deal with the multiplication of exponentials, simply multiply the base numbers (digits) as you normally would, and then add the exponents. Remember to keep the result in the acceptable form, meaning that for a number like 2.4×10⁴, there should be only one digit to the left of the decimal point. To handle negative exponents, add them as usual, and adjust the exponent to maintain a positive value. For dividing exponentials, you divide the base numbers and subtract the exponents.

Here's a step-by-step example for multiplication: Suppose you have 5.1×10³ and 4.2×10⁴. You multiply the base numbers to get 21.42, and then add the exponents (3+4) to get 7, which gives you 21.42×10⁷. To adjust the number to proper form, you would change it to 2.142×10⁸. For squaring an exponential like 3×10², you'd square the 3 to get 9 and multiply the exponent by 2 to get 4, leading to 9×10⁴.

When squaring exponential terms, square the digit term and multiply the exponent by 2. For instance, (2×10²)² equals 4×10⁴. And remember, any number to the power of zero equals one, as 0 exponent implies no multiplication of the base number, leaving us with the implicit base of multiplication which is 1.

is 70 thousand written in a standard form or a word form? explain

Answers

Neither, since standard form is the number form which would be 70,000 and the word form would be seventy thousand. 
70 thousand in word form would be seventy thousand, but in standard it would be just numbers 70,000

The record for the Boston Marathon's wheelchair division is 1 hour, 18 minutes, and 27 secondsThe Boston Marathon is 26.2 miles long. What was the average speed of the record winner of the wheelchair division? Round to the nearest hundredth.

Answers

18 minutes 27 seconds = 1,107 seconds
1,107 / 3,600 = .3075 hours

26.2 / 1.3075 = 20.0382409178 miles per hour =
20.04 miles per hour


three times the square of a non-zero number is equal to fifteen times the number.. what is the number?

Answers

3 * (x^2) = 15x
3x^2 -15x = 0
x= - -15 +- sq root (225 -4*3*0) / 2*3
x = [15 +-sq root (225 -4*3*0] / 6
x1 = [15 +15] / 6
x1 = 5

x2 = [15 -15] / 6
x2 = 0

The number is 5

Check
3 * 5^2 = 15 * 5
75 = 75



Find the average weekly earnings. hours worked each week: 20; hourly rate: $3.25; weekly tips: $115.75, $94.80, $73.15, $62.50

Answers

If you work 20h a week and an hour payed is 3.25 then each week you will earn 65 dollars.
Tips earn all together are 346.2
All together with the weekly tips and weekly pay check you will have 411.2 a week
This will be 1644.8 a month.
And 19737.6 a year

how many thousands go into 90 hundreds

Answers

90 hundreds = 90 * 100 = 9000

9000 = 9 thousands

Find an equation for the nth term of the arithmetic sequence.

a16 = 21, a17 = -1

an = 351 + 22(n + 1)
an = 351 - 22(n + 1)
an = 351 + 22(n - 1)
an = 351 - 22(n - 1)

Answers

so it went from the 16th term to the 17th term, and went from 21 to -1... what would the "common difference" d be then?

le'ts see

[tex]\bf a_{16}=21\quad and\quad a_{17}=-1 \\\\\\ a_{16}+d=-1\implies 21+d=-1\implies d=-1-21\implies \boxed{d=-22}[/tex]

alrite.. so d = -22.. hmm what would the first term be then?

[tex]\bf n^{th}\textit{ term of an arithmetic sequence}\\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\ ----------\\ n=16\\ d=-22\\ a_{16}=21 \end{cases} \\\\\\ a_{16}=a_1+(16-1)\boxed{-22}\implies 21=a_1+(16-1)(-22) \\\\\\ 21=a_1+(15)(-22)\implies 21=a_1-330\implies \boxed{351=a_1}\\\\ -------------------------------\\\\ a_n=a_1+(n-1)d\implies \boxed{a_n=351+(n-1)(-22)}[/tex]

which of course, you can rewrite as

[tex]\bf {a_n=351+(n-1)(-22)}\implies a_n=351-22(n-1) \\\\\\ or\qquad a_n=351+22(1-n)\implies a_n=351+22-22n[/tex] 

which are all the same.

Answer:d

Step-by-step explanation:test

A fountain on a lake sprays water in a parabolic arch modeled by the equation
y = −0.4x2 + 3x, where y is the height in feet and x is the horizontal distance. A beam of light is passed through the fountain to create a rainbow effect. If the beam is directed at an angle modeled by the equation -2.2x + 4.9y = 8.18, at what distance from the ground will the beam first touch the water spray?

A. 0.6 feet
B. 2 feet
C. 4.2 feet
D. 5.6 feet

Answers

Hello,

Answer B (2.0017868263...feet)

We must foind the intersection of the line and the parabola:

[tex]- \dfrac{4}{10} x^2+3x= \dfrac{22}{49}x+ \dfrac{818}{490}\\ ...\\ 196x^2-1250x+818=0\\ x= \dfrac{1250- \sqrt{921188} }{392}\approx0.7403433860\\ y=-0.4*0.74034...^2+3*0.74034...\approx2.0017868263... [/tex]

Alex wants to put a fence around his garden. It is square and has an area of 196 square feet. He wants to put a post in each corner, and every 7 feet. How may posts and how may feet of fencing does he need?

Answers

√196= 14
So each side is 14 feet
There are 4 posts in the corners and if each side is 14 feet and you put a post every 7 feet there would be an additional post on each side. That means he needs 8 posts.
The perimeter is 14×4=56
This means he needs 56 feet of fencing.

Why is the completely factored form X^4+8x^2-9

Answers

Greetings!

This is still factor-able:
[tex]x^4+8x^2-9[/tex]
[tex]x^4+9x^2-x^2-9[/tex]
Factor by grouping.
[tex]x^2(x^2+9)-1(x^2+9)[/tex]
[tex](x^2+9)(x^2-1)[/tex]
Factor by difference in squares.
[tex](x^2+9)(x-1)(x+1)[/tex]

Hope this helps.
-Benjamin

is 8π rational or irrational number?

Answers

irrational i assume

Which expression is equal 3(5+6) ?

a. 15+6
b. 5+18
c. 15+18
d. 3+11

please explain

Answers

the answer is C, because you would have to multiply 3 and 5 which is 15, and 3*6 is 18 so the answer is 15+18.
15+18 bc  you multiply 3*5 which =15 then 3*6 which =18 and you keep the + so your answer is C
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