Mathematics High School

PLEASE HELP!!!
1. The coordinates of the vertices of triangle ABC are A(-1,3), B(1,2) and C(-3,-1).

Determine the slope of each side of the triangle and use that information to determine if the triangle is a right triangle or not.


2.The coordinates of the vertices of quadrilateral JKLM are J(-3,2), K(4,-1), L(2,-5) and M(-5,-2).

Find the slope of each side of the quadrilateral and determine if the quadrilateral is a parallelogram

Answers

Answer 1
1. AB 3-2/-1-1
-1/2
BC 2+1/1+3
3/4
AC 3+1/-1+3
4/2=2
It is a right triangle


2. JK -1-2/4+3
-3/7
LM -2+5/-5-2
-3/7
KL -1+5/4-2
4/2=2
JM 2+2/-3+5
4/2=2
The quadrilateral is a parallelogram

Related Questions

karen says that 6 is a common factor of 2 and 3 ken says that 6 is a common multiple of 2 and 3 who is correct

Answers

6 is a common multiple of 2 and 3...so Ken is correct

think of multiples like multiplication tables
2 * 1 = 2
2 * 2 = 4
2 * 3 = 6
so 2,4,and 6 are multiples of 2
same with 3..
3 * 1 = 3
3 * 2 = 6
3 * 3 = 9
so 3,6, and 9 are multiples of 3
so 6 is a common multiple of 2 and 3.

factors...they are what can be divided into a number...
6 has factors of 2 and 3....because they both go into 6 evenly
but 6 is not a factor of 2 or 3 because 6 wont go into them evenly

One hundred percent of the fish in a pond are goldfish. i take 10$\%$ of the goldfish out of the pond. what percentage of goldfish does the pond now contain?

Answers

Still one hundred percent, because all the fish in the pond are goldfish, even after you reduced the number of fish.

You flip a coin and then roll a fair six sided die. Then the coin lands heads up and the die shows a one

Answers

whats the question if you dont give us a question we cant answer it
lol bro whats the question then ill answer XD

what is the value of x (I will give 20 points to best answer)

Answer options
61
37
85
122

Answers

It looks like the angle is the same as its opposite angle (146).
So you need to find what number will help you equal 146.

(2(61)+ 24)

(122 + 24) = 146

A) 61

Hope this helps!

The value of x is 61 after using the concept of vertically opposite angles option (A) 61 is correct.

What are vertically opposite angles?

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

It is given that:

The angles are shown in the picture.

As we know, from the definition of vertically opposite angles, the angles when two lines intersect each other and at the intersecting point.

The first angle = 2x + 24

The second angle = 146

Equating both the angles:

2x + 24 = 146

2x = 146 - 24

2x = 122

x = 122/2

x = 61

Thus, the value of x is 61 after using the concept of vertically opposite angles option (A) 61 is correct.

Learn more about the vertically opposite angles here:

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A wildlife biologist catches and releases 20 fish from two different lakes at random locations. he catches 10 fish at lake palmer and 10 fish at lake dalton. he measures the length of each fish to the nearest quarter of an inch. palmer dalton first quartile 6.75 5.5 second quartile (median) 10.25 6.75 third quartile 13 7.5 based on the samples, what generalization can be made? at least 25 percent of the fish in both lakes are no longer than 6 inches. the interquartile range for lake dalton is 2 inches greater than the interquartile range for lake palmer. the first quartile value at lake palmer is 1.25 inches longer than the first quartile value at lake dalton. not enough information is provided to draw any of these conclusions.

Answers

Answer:

The first quartile value at Lake Palmer is 1.25 inches longer than the first quartile value at Lake Dalton.

Step-by-step explanation:

solve the system by substitution. -4.5-2y=-12.5 , 3.35x-y=-0.75

Answers

First, we solve for y in the first equation:
[tex]-2y = -12.5 +4.5[/tex]
[tex]-2y=-8[/tex]
[tex]y= \frac{8}{2}[/tex]
[tex]y=4[/tex]
Then, we substitute the y value in the other equation and solve for x:
[tex]3.35x-(4)=-0.75[/tex]
[tex]3.35x=-0.75+4 [/tex]
[tex]3.35x=3.25[/tex]
[tex]x= \frac{3.25}{3.35} [/tex]
[tex]x= \frac{65}{67} [/tex]

so -2y=-12.5+4.5 thus -2y=-8 thus y=4 if y=4 than 3.35x=-.75+4 thus 3.35x=3.25 thus x=3.35/3.25

What is the percent increase modeled in the function f(x)=30(1.25)*

A. 30%
B. 1.25%
C. 25%
D. 75%

Answers

the increase would be 1.25-1 = 0.25 = 25%

Answer is C

help me and show how you got it please

Answers

which one and what answer
4)

[tex]\bf \sqrt{102}\implies 10.099 \\\\\\ \sqrt{121}\implies 11\quad \checkmark \\\\\\ \sqrt{125}\implies 11.18 \\\\\\ \sqrt{144}\implies 12\quad \checkmark \\\\\\ \sqrt{225}\implies 15\quad \checkmark \\\\\\ \sqrt{240}\implies 15.49[/tex]

5)

check the 1st picture below.

thus

[tex]\bf base\implies \cfrac{1}{4}=x\cdot x\implies \cfrac{1}{4}=x^2\implies \sqrt{\cfrac{1}{4}}=x\implies \cfrac{\sqrt{1}}{\sqrt{4}}=x \\\\\\ \boxed{\cfrac{1}{2}=x}\qquad \qquad V=x^3\implies V=\left( \cfrac{1}{2} \right)^3\implies V=\cfrac{1^3}{2^3}\implies \boxed{V=\cfrac{1}{8}}[/tex]

6)

check the 2nd picture below

[tex]\bf 233=x^2+64\implies 233-64=x^2\implies 169=x^2\implies \sqrt{169}=x \\\\\\ \boxed{13=x}\qquad \qquad railing\implies x+x+(x+8)+8+8+\stackrel{\textit{little corner}}{(x-8)}[/tex]

Michael has $1.95 in his collection, consisting of nickels and quarters. the number of nickels is three more than the number of quarters. how many nickels and quarters does michael have

Answers

6 quarters, 9 nickels

How many integers less than 1000 have no factors (other than 1) in common with 1000?

Answers

168 numbers beginning with the
2, 3, 7, 11,13 and ending with the 983, 991 and 997
There are 999 integers less than 1000. Immediately, we can eliminate all of the even numbers among those, since we know they share the factor 2 with 1000. This gets rid of 499 integers, leaving us with 500 odd integers. To make our next elimination, we'll have to take a look at 1000 again.

1000's prime factorization is 2³ · 5³, which means that our final filter on the remaining integers should be to eliminate every integer divisible by 5. Any whole number ending in a 0 or a 5 is divisible by 5, but since we've eliminated all even numbers from our list, we've split the amount of those divisible numbers in half. It may be a bit hard to visualize this elimination, so let's figure out how many integers would get eliminated in a bit of a simpler setting first:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Usually we'd be eliminating 4 numbers from this sequence, but in a sequence with all the even numbers eliminated:

1 3 5 7 9 11 13 15 19

We only eliminate half that amoung, or 2.

Here, we'd usually be eliminating 100 of the numbers from our list of 500 (or 1/5 of the list, since we eliminate a number every 5 integers), but here, we're only eliminating half of that amount, or 50. This leaves us with 500 - 50 = 450 integers with no factors in common with 1000.

Note: We also sometimes refer to numbers with this kind of relationship as coprime or relatively prime.

For f(x)=4x squared -3 and g(x)=x +1 find (f - g)(x) PLEASE HELPP

Answers

(4x^2-3)-(x+1)  Combine like terms
4x^2-x-4

Dana was picking strawberries to sell and placing them in baskets on a table. the number of strawberries in the basket is 4 more than the number of baskets on a table. if b represents the number of baskets on each table, which expression can be used to represent the number of strawberries on 5 tables? 5b4 5(b + 4) 5b(b + 4) 5b + 4

Answers

(5b+xyz_6) xyx+ That is the right answe Im super positive it may seem wrong bit I got. you...

Round 28,573 to the nearest thousand

Answers

29,000 is the answer rounded to the nearest thousand.
28,573 rounded to the nearest thousand

first, find the number in the thousands place....it is 8...now look at the number directly to the right of it....
** if that number is 5 or above, u would round that 8 up to a 9
** if that number is 4 or below, u would leave the 8 alone

so the number directly to the right of 8 is a 5...that means we have to round that 8 up to a 9

making ur answer : 29,000 <== because 28,573 is closer to 29,000 then it is to 28,000

suppose a research team takes a simple random sample of 100 parma wallabies. in this sample, the tails of the wallabies have a mean length of 46 centimeters and a standard deviation of 2.6 centimeters.

What percent of the time could a simple random of 100 parma wallabies have a sample mean that is not in the 95% confidence interval?

5%
0%
2.5%
20%

Answers

Answer: choice A) 5%

------------------------------------
------------------------------------

Explanation:

Saying "95% confidence interval" means that if we made a simple random 
sample (SRS) of 100 wallabies, and computed the sample mean, then 95% of the sample means will be in the confidence interval. The remaining 5% (100%-95% = 5%) of the sample means will fall outside the confidence interval.

Under which condition does a country with a small GDP have a large per capita income?

Answers

the concept here is that if a country has a small population, then the per capita income would be large. by dividing the total income by the total population giving you the per capita income. 

-hope this helps
GDP, or gross domestic product, is  how many goods and services a country or realm produces over an interval, usually a year.

the per capita part, means, the average per person, so you grab the GDP, say 5 trillion, and divide it evenly among all inhabitants, so a per-capita figure is really just GDP/population.

now, you can have a population like Germany with 80 million with a GDP of say hmmm 8000 million for simplification, the per-capita is then 8000/80 or  $100 per person.

now, you could have another population like say Japan, and let's just say is less people... hmmm 20 million, with a GDP of say 4000 million.

then the per-capita in that example for Japan will be 4000/20, which is $200 per-capita, notice, the Japan's example has a higher per-capita, though the GDP is smaller to the example of Germany, that's because the Japanese population is also smaller.

sidenote:  per-capita figures are often very misleading, since economies do not grow that linearly.

Help please!! Find domain and range for 20 points

Answers

So all of your domain numbers are going to be your x values so in this case, it would be [-3, 4] as for the range that is going to be all of your y values so it would be [-1, 4]. (both of the answers are in interval notation for you btw)

The volume of a can (right circular cylinder) is 10 cubic feet. the curved surface area is the area of the side. write the curved surface area s as a function of the radius r. s =

Answers

The volume formula of a cylinder is given as:

V = π r^2 h

So plugging in the value of the volume:

10 ft^3 = π r^2 h

h = 10 / (π r^2)  ---> eqtn 1

 

The formula for the surface area of cylinder is:

s = 2 π r h + 2 π r^2

plugging in eqtn 1:

s = 2 π r [10 / (π r^2)] + 2 π r^2

s = (20 / r) + 2 π r^2                         (ANSWER)

The students at Campbell High School have been planting trees as part of an ongoing service project. This month, they averaged 15 trees per participant. That is 150% more trees than their average the last time they did it. What was their average last time?

___ trees

Answers

I think its 0 lol, is that possible?

Final answer:

The average number of trees planted by participants last time was 10 trees, calculated by understanding the percentage increase and using basic arithmetic.

Explanation:

The average number of trees planted by participants last time was 10 trees.

To solve this, we know that the current average is 15 trees per participant, which is 150% more than the last average. This means the current average is 250% of the last average. To find the last average, you divide the current average by 2.5 (250%), giving you 6. Then, you calculate 150% of 6, which equals 9. Adding 6 and 9 together gets you 15 trees, the current average, confirming the last average was 10 trees.

25% of what number is 9
can you explain how you got your answer and show your answer too.
Thank You

Answers

Keep in mind the the word "percent" translates to "for each 100." 25% can be read as "25 for each 100," which has the fractional representation [tex] \frac{25}{100} [/tex] and the decimal representation 0.25. All of these representations are just different ways of writing the same value.

Note too that the fraction [tex] \frac{25}{100} [/tex] can be reduced to [tex] \frac{1}{4} [/tex], so what the question is really asking is: 1/4 of what number is 9?

Well, if we know that 1/4 of the number is 9, we can easily find how large the whole number is by finding all 4/4 of it (the whole number), or 4 x 9, which multiplies out to 36.

When h has the value of 5 calculate 6h +9

Answers

h=5
6h+9 —> 6(5)+9
6•5=30 —> 30+9= 39

1) AB¯≅AD¯ Given
2)∠ACD is a right angle.- Given
3) m∠ACD=90° -Definition of right angle
4) m∠ACB=90° -Given
5) m∠ACB=m∠ACD -Transitive Property of Equality
6) ∠ACB≅∠ACD Definition of congruent angles
7) C is the midpoint of BD¯ Given
8)C bisects BD¯ ?
9) BC¯≅CD¯ Definition of bisect
10) AC¯≅AC¯ Reflexive Property of Congruence
11) △ABC≅△ADC -SAS Congruence Postulate


What is the correct reason for Statement 8?

Given


Definition of bisect


Definition of congruent segments


Definition of midpoint

Answers

the answer is the definition of midpoint

Answer:

By definition of midpoint.

Step-by-step explanation:

proof:

1.Statement: [tex]\overline{AB}\cong \overline{AD}[/tex].

Reason: Given.

2.Statement: [tex]\angleACD[/tex] is a right angle.

Reason:Given.

3.Statement:[tex]m\angle ACD=90^{\circ}[/tex].

Reason: By definition of right angle.

4.Statement: [tex]m\angle ACB=90^{\circ}[/tex].

Reason: Given.

5.Statement: [tex]m\angle ACB=m\angle ACD[/tex]

Reason: Transitive property of equality.

6. Statement:[tex] m\angle ACB\cong m\angle ACD[/tex].

Reason: By definition of congruent triangles.

7.C is the midpoint of [tex]\overline {BD}[/tex].

Reason: Given.

8.Statement: C bisect [tex]\overline{BD}[/tex]

Reason: By definition of midpoint.

9.Statement:[tex]\overline{BC}\cong \overline{CD}[/tex]

Reason: By definition of bisect.

10.Statement:[tex]\overline{AC}\cong\overline{AC}[/tex]

Reason: By reflexive property of congruence.

11.Statement:[tex]\triangle ABC\cong \triangle ADC[/tex].

Reason: SAS congruence postulate.

Which of the following represents ninth root of x to the seventh power in exponential form?

Answers

The exponent is 7/9 like this x^⁷⁄₉.

Answer:

[tex]x^{\frac{7}{9}}[/tex]

Step-by-step explanation:

write ninth root of x to the seventh power in exponential form

[tex]\sqrt[9]{x^7}[/tex]

To write the radical in exponential form we use the below property

[tex]\sqrt[n]{x^a} = x^{\frac{a}{n}}[/tex]

The radical becomes the base of the fraction

[tex]\sqrt[9]{x^7}=x^{\frac{7}{9}}[/tex]

we cannot simplify the fraction.

The given expression in exponential form is

[tex]x^{\frac{7}{9}}[/tex]

12x^2 −75=3(2x+?)(2x−5)
What is the missing term in the factorization

Answers

Hello,

The answer is 3 • (2x + 5) • (2x - 5).
Final answer:

To find the missing term in the factorization, we rewrite the equation in the form of ax^2 + bx + c = 0, equate the coefficients and solve for the term. The missing term is -25.

Explanation:

To find the missing term in the factorization, we can rewrite the given equation in a general form of the quadratic equation like ax^2 + bx + c. In our case, this would be:12x^2 - 3(4x^2 - 10x + ?) = −75. Here, 'a' has a coefficient of 12, 'b' is -10 multiplied by 3 (the '3' outside the brackets), and 'c' is ? multiplied by 3. By equating the coefficients on both sides of the equation, we can solve for the missing term '?'. Therefore, the missing term is '? = -75 / 3' or '? = -25'.

Learn more about Factorization here:

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A jar contains n nickels and d dimes. There are 20 coins in the jar, and the total value of the coins is $1.40. How many nickels and how many dimes are in the jar?

Answers

n = number of nickels
d = number of dimes

n+d = 20
0.05n + 0.10d =1.40

-0.05n - 0.05d = -1
0.05n + 0.10d = 1.40

0.05d = 0.40
d = 8

n = 20-8=12

There are 12 nickels and 8 dimes

The correlation coefficient r between the size of a lake in square miles, x, and the yearly number of registered boaters, y, is 0.743. What percent of the variation in the number of yearly boaters can be explained by differences in lake sizes?
74.3%
55.2%
44.8%
37.2%

Answers

Actually variation is simply equivalent to the square of the correlation coefficient r. So we can say that:

variation = r^2

 

So given an r value of 0.743, so the variation is:

variation = 0.743^2

variation = 0.552

 

Answer:

55.2%

A function is given. Determine the average rate of change of the function between the given values of the variable: f(x)= 4x^2; x=3, x=3+h

Answers

[tex]\bf slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby \begin{array}{llll} average\ rate\\ of\ change \end{array}\\\\ -------------------------------[/tex]

[tex]\bf f(x)= 4x^2 \qquad \begin{cases} x_1=3\\ x_2=3+h \end{cases}\implies \cfrac{f(3+h)-f(3)}{(3+h)~-~(3)} \\\\\\ \cfrac{[4(3+h)^2]~~-~~[4(3)^2]}{\underline{3}+h-\underline{3}}\implies \cfrac{4(3^2+6h+h^2)~~-~~4(9)}{h} \\\\\\ \cfrac{4(9+6h+h^2)~~-~~36}{h}\implies \cfrac{\underline{36}+24h+4h^2~~\underline{-~~36}}{h} \\\\\\ \cfrac{24h+4h^2}{h}\implies \cfrac{\underline{h}(24+4h)}{\underline{h}}\implies 24+4h[/tex]

twenty-four players divided into three teams?

Answers

24÷3=8

There will be eight players on each team.
twenty four divided by 3 is eight so there would be 8 players on each team

If it starts out at -10 degrees, what will the temperature be if it rises 30 degrees?

A.10 degrees
B.20 degrees
C.30 degrees
D.40 degrees

Answers

add 30 to -10:

-10 + 30 = 20

 Answer is B.

concert tickets cost $15 for general admission, but only $9 with a student ID. ticket sales total $4500. wirte and graph ab equation that models this situation. explain how to use your graph to find how many student tickets were sold if 200 general admission tickets were sold 

Answers

The equation is given as 15x + 9y = 4500

The tickets sold when 200 are sold is y = 166.7

How to model the equation

The equation that models this would be

$15x + $9y = $4500

15x + 9y = 4500

If 200 admission tickets were sold we would have

15 * 200 + 9y = 4500

3000 + 9y = 4500

9y = 4500 - 3000

9y = 1500

y = 166.7 please approximate because tickets number has to be whole

The approximated total tickets that were sold is given as 167

Use your graph to check for the value of the corresponding y side if 200 tickets are sold

If you shift the quadratic parent function, f(x) = x2, left 12 units, what is the equation of the new function?

A. g(x) = (x – 12)2
B. g(x) = (x + 12)2
C. g(x) = x2 – 12
D. g(x) = x2 + 12

Answers

c is your answer i believe

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