Mathematics High School

Solve x + y + z = 12
2x – y – z = -6
x + 3y + 5z = 44

(4, 3, 5)

no solutions

(2, 4, -6)

(2, 4, 6)

Answers

Answer 1
The answer is (2,4,6)
Proof:

Solve the following system:{x + y + z = 12 | (equation 1){2 x - y - z = -6 | (equation 2){x + 3 y + 5 z = 44 | (equation 3)
Swap equation 1 with equation 2:{2 x - y - z = -6 | (equation 1){x + y + z = 12 | (equation 2){x + 3 y + 5 z = 44 | (equation 3)
Subtract 1/2 × (equation 1) from equation 2:{2 x - y - z = -6 | (equation 1){0 x+(3 y)/2 + (3 z)/2 = 15 | (equation 2){x + 3 y + 5 z = 44 | (equation 3)
Multiply equation 2 by 2/3:{2 x - y - z = -6 | (equation 1){0 x+y + z = 10 | (equation 2){x + 3 y + 5 z = 44 | (equation 3)
Subtract 1/2 × (equation 1) from equation 3:{2 x - y - z = -6 | (equation 1){0 x+y + z = 10 | (equation 2){0 x+(7 y)/2 + (11 z)/2 = 47 | (equation 3)
Multiply equation 3 by 2:{2 x - y - z = -6 | (equation 1){0 x+y + z = 10 | (equation 2)v0 x+7 y + 11 z = 94 | (equation 3)
Swap equation 2 with equation 3:{2 x - y - z = -6 | (equation 1){0 x+7 y + 11 z = 94 | (equation 2){0 x+y + z = 10 | (equation 3)
Subtract 1/7 × (equation 2) from equation 3:{2 x - y - z = -6 | (equation 1){0 x+7 y + 11 z = 94 | (equation 2){0 x+0 y - (4 z)/7 = (-24)/7 | (equation 3)Multiply equation 3 by -7/4:{2 x - y - z = -6 | (equation 1){0 x+7 y + 11 z = 94 | (equation 2){0 x+0 y+z = 6 | (equation 3)
Subtract 11 × (equation 3) from equation 2:{2 x - y - z = -6 | (equation 1){0 x+7 y+0 z = 28 | (equation 2){0 x+0 y+z = 6 | (equation 3)
Divide equation 2 by 7:{2 x - y - z = -6 | (equation 1){0 x+y+0 z = 4 | (equation 2){0 x+0 y+z = 6 | (equation 3)
Add equation 2 to equation 1:{2 x + 0 y - z = -2 | (equation 1){0 x+y+0 z = 4 | (equation 2){0 x+0 y+z = 6 | (equation 3)Add equation 3 to equation 1:{2 x+0 y+0 z = 4 | (equation 1){0 x+y+0 z = 4 | (equation 2){0 x+0 y+z = 6 | (equation 3)
Divide equation 1 by 2:{x+0 y+0 z = 2 | (equation 1){0 x+y+0 z = 4 | (equation 2){0 x+0 y+z = 6 | (equation 3)
Collect results:

Answer: {x = 2, y = 4 , z = 6

Related Questions

EXPERTS/ACE/TRUSTED HELPERS

Answers

Since the image has the same orientation as the original, it was not rotated or reflected. The only viable (and correct) choice is
.. D translation 4 units up.

_____
We really don't need to see your keyboard. It is appropriate to use a screen shot program or edit your picture, or both.

Suppose that x=6 and y=8. If y is inversely related to x, what is y when x=3?
A)4
B)5
C)16
D)18

Answers

[tex]\bf \qquad \qquad \textit{inverse proportional variation}\\\\ \textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \textit{we also know that } \begin{cases} x=6\\ y=8 \end{cases}\implies 8=\cfrac{k}{6}\implies 48=k \\\\\\ therefore\qquad \boxed{y=\cfrac{48}{x}} \\\\\\ \textit{when x = 3, what is \underline{y}?}\qquad y=\cfrac{48}{3}[/tex]

The value of y when x=3 is 16.

What is proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

we have x=6 and y= 8.

If y is inversely related to x

y α 1/x

y= k/x

where is constant of proportionality

k = yx

k = 8(6)

k =48

So, y= k/x

y = 48/ 3

y= 16

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A study found that 3939​% of the assisted reproductive technology​ (art) cycles resulted in pregnancies. ​twenty-fourfour percent of the art pregnancies resulted in multiple births. ​(a) find the probability that a random selected art cycle resulted in a pregnancy and produced a multiple birth. ​(b) find the probability that a randomly selected art cycle that resulted in a pregnancy did not produce a multiple birth. ​(c) would it be unusual for a randomly selected art cycle to result in a pregnancy and produce a multiple​ birth? explain

Answers

(a)    Let A be an ART cycle pregnancy and;B be the event that an ART cycle resulted in a multiple birth.
P(A and B) = P(A).P(B│A)
Look for P(A) and P(B│A).
P(A) = 39/100 = 0.39
P(B│A) =24/100 = 0.24
The probability that a randomly selected ART cycle resulted in a pregnancy and produced a multiple birth is P(A and B) is:
P(A and B) = P(A). P(B│A)
= 0.39 * 0.24
= 0.0936
 
(b)   Let B ’ - the complement of B. This means that this is the probability that a randomly selected ART cycle that resulted in a pregnancy did not make a multiple birth is P(B’│A).
Determine P(B’│A) using the formula the complement of an event, P(E’) = 1 – P(E), where E is an event and E’ is its complement. Recall that P(B│A) = 0.24.
P(B’│A) = 1 – P(B│A)
= 1 – 0.24
= 0.76
 (c)   Knowing that P(A and B) = 0.0936. An event that happens with a probability of 0.05 or less is normally considered unusual. Use this information to know whether it would be unusual for a randomly selected ART cycle to result in a pregnancy and produce a multiple birth. 
The correct answers are:

0.0936;
0.2964; and
no.

Explanation:

39% of ART cycles result in pregnancy. Of those, 24% result in multiple births. To find the probability that a random ART cycle results in a pregnancy with multiple births, we want to find 24% of 39%; this means we multiply these:
0.24(0.39) = 0.0936.

To find the probability that it will not result in multiple births, we subtract from 100%; since 24% of the pregnancies are multiple births, 100-24 = 76% will not be multiple births.

Now we find 76% of 39%; we multiply again: 0.76(0.39) = 0.2964.

In statistics, a result is considered unusual if the probability is 0.05 or less. Our probability was 0.0936, which is greater than 0.05; thus it is not unusual.

If a chicken farm sold 3000 dozen eggs last week how many individual eggs were sold

Answers

Let us start it off simple with a basic question. What is a Dozen? The answer is 12. That means in order to find the correct answer we must multiply 3000 by 12. This is due to the fact that the question is asking us "3000 dozen eggs." 

3000*12= 36,000
That means that a total of 36,000 eggs were sold last week.

Hope This Helps! :)
36000 i hope this helps 

multiply3000x12

12=number of eggs in a dozen

△ABC∼△LMN , AB is 8 inches, ​ BC ​ is 14 inches, and LM is 12 inches.

What is ​​ MN ?

Answers

Similar triangles have side lengths that are proportional.
We setup a proportion using the given information.

AB/LM = BC/MN

8/12 = 14/MN

8(MN) = 12 * 14

8(MN) = 168

MN = 168/8

MN = 21
16 might be your answer if not I am truly dearly sorry

In the standard equation for a circle centered at any point, a change in the value of the number that is part of the x-term results in a vertical movement ? True or false?

Answers

It is false. The x is usually horizontal.

Answer:

It is False as Changing value of x coordinate  results in horizontal movement not in vertical moment.

Step-by-step explanation:

Standard form of circle is given by,

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where, ( h, k ) = Coordinates of circle and r is radius of circle.

here h is part of x- term.

So, if change value of h to p keeping k and r constant. The coordinate of center shifted in horizontal line whose equation is y = k.

Therefor, It is False as Changing value of x coordinate  results in horizontal movement not in vertical moment.

Sue's Sushi placed two orders with its fish supplier. One order was for 15 pounds of salmon and 8 pounds of tuna; the order totaled $259. The other order was for 12 pounds of salmon and 6 pounds of tuna; this order totaled $204. What is the cost for one pound of salmon and one pound of tuna?

Answers

x= salmon cost per pound
y= tuna cost per pound

$15x + $8y= $259
$12x + $6y= $204

Solve for one variable in one equation and substitute it in the other equation.

15x + 8y= 259
subtract both sides by 8y
15x= 259 - 8y
divide both sides by 15
x=(259-8y)/15

Substitute in second equation

12x + 6y= 204
12((259-8y)/15) + 6y= 204
multiply everything by 15 to eliminate fraction

(15)(12(259-8y)/15) + (15)(6y)= (204)(15)
(12*259) + (12*-8y) + 90y= 3060
multiply inside parentheses

3108 - 96y + 90y= 3060
combine like terms & subtract 3108 from both sides

-6y= -48
divide both sides by -6

y= $8 cost of tuna per pound

Substitute y=8 in either equation
15x + 8y= 259
15x + 8(8)= 259
15x + 64= 259
15x= 195
x= $13 cost of salmon per pound

CHECK:
12x + 6y= 204
12(13) + 6(8)= 204
156 + 48= 204
204= 204

ANSWER: One pound of salmon costs $13 and one pound of tuna costs $8.

Hope this helps! :)

Give 4 equations that uses at least 2 different operations. (PEMDAS) The answer has to be
- 23
- 25
- 27
and
- 28
REMEMBER: 4 equations, one for each answer
Please help

Answers

(7*4)=x28
(5+5)+15=x25
(7*3)+2=x23
(9*3)=x27

The rain caused the river to rise a total of 6 and 2/3 inches. The river was rising at an average of 2/3 of an inch each hour. How many hours did it rain? (must be a whole number)
(there is a ratio) (2/3 divided by 1) and (6 and 2/3 divided by what?)

Answers

the answer is 10

I hope this helps

Please help me, will give thanks, lots of points, friend request, and brainliest. Alongside that, I will help you with any questions in science, english, or history that you may have.

Assume a and b are nonzero rational numbers and c and d are irrational numbers. For each of the following expressions, determine whether the result is irrational, rational, or both. Justify your answers.
Part A: b(a + d)
Part B: left parenthesis b square root of five end square root right parenthesis cubed
Part C: a + (cb)

Answers

Part A: Well product of two rationals is always rational. And the sum of a rational and an irrational is irrational.

They give you too much freedom in your choice though. Like for part A, what if we let b=-1 (rational) c=pi (irrational d=pi (irrational) Then bc+d = -pi + pi = 0 (rational) Maybe they didn't want you to consider 0 because otherwise all of these options can be rational.

Do you understand the difference between a rational and irrational number? Rationals can be written as a fraction containing whole numbers. Irrationals can not. Here are some examples of rational numbers: 3/2 is rational because its a whole number divided by a whole number. 7 is a rational number because it can be written as 7/1. −4 is a rational number, it also can be written in this form −4/1. This next one maybe seem surprising, but, 0 is a rational number. It also can be written as 0/1, but not as 0/0 (Which is not a number).


So in the end 
A:  virtually any sum or product involving an irrational number will be irrational. 
B. (√7)^2 = 7 ... rational 
C. all numbers involved are rational, so this result is rational

All results are irrational.
You have the following "rules."
- the sum of rational and irrational is irrational
- the product of rational and irrational is irrational

A. The first rule applies inside parentheses. The second rule applies then.

B. The result is (rational)*(5^(3/2)). The latter factor is irrational, so the second rule applies.

C. The second rule applies inside parentheses. The first rule applies then.

helppppppppppppppppppppppppp

Answers

The answer is C , 10/m5
(5m ^ -2) * (2m ^ -3)
 Remember that by power properties we have:
 (5 (1 / m ^ 2)) * (2 (1 / m ^ 3))
 Rewriting the equation:
 ((5) * (2)) * (1 / m ^ 2) * (1 / m ^ 3)
 Then, again for power properties:
 10 / m ^ 5
 answer:
 10 / m ^ 5
 option 3

What is the value of 0.36 repeating times 11/2?

Answers

The value of 0.36 repeating times 11/2 is 2.

What is Fraction?

A fraction represents a part of a whole.

To find the value of 0.36 repeating (which we can write as 0.36363636...) times 11/2.

Convert the repeating decimal to a fraction.

Let x = 0.36363636...

Then 100x = 36.36363636...

Subtracting x from 100x, we get:

99x = 36

x = 36/99 = 4/11

Now Multiply the fraction by 11/2.

(4/11) x (11/2) = 2

Therefore, the value of 0.36 repeating times 11/2 is 2.

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What is the next number in the sequence? 55, 34, 21, 13, 8…?

Answers

The next number is 5.

Each number in the sequence is the (positive) difference of the previous two numbers.

what is the surface area?

Answers

check the picture below.

so as you can see, the figure is really just 3 rectangles and 2 triangles.

the rectangles are 5x7, another 5x7, and the one at the bottom is a 6x7.

the triangles have a base of 6, a height of 4.

so, just the area of each, add them up, and that's the area of the figure.

[tex]\bf \stackrel{left~and~right}{(5\cdot 7)}+\stackrel{bottom}{(6\cdot 7)}+\stackrel{front~and~back}{2\left[\frac{1}{2}(4)(6) \right]}[/tex]

One of the factors of 6x3 − 864x is

A. 4
B. X^2
C. X + 12
D. X - 8

Answers

The answer is C. X+12

Consider the expression [tex]6x^3-864x.[/tex] This expression consists of two terms: [tex]6x^3[/tex] and [tex]-864x.[/tex]

These two terms have common factors 6 and x, because:

[tex]6x^3=6x\cdot x^2;[/tex][tex]-864x=6x\cdot (-144).[/tex]

Then

[tex]6x^3-864x=6x(x^2-144).[/tex]

You know that [tex]144=12^2.[/tex] Use the formula for the difference of squares:

[tex]x^2-144=x^2-12^2=(x-12)(x+12).[/tex]

Therefore,

[tex]6x^3-864=6x(x-12)(x+12).[/tex]

Answer: correct choice is C.

According to these three facts, which statements are true?

Circle W has center (−3, 0) and radius 8.
Circle V is a translation of circle W, 2 units down.
Circle V is a dilation of circle W with a scale factor of 2.


Select each correct answer.


The radius of circle V is 16.


The center of circle V is (−5, 0).

Circle V and circle W are similar.

Circle V and circle W have the same center.

Answers

Answer: The radius of circle V is 16. Circle V and circle W are similar.

First, V is a dilation of circle W with a scale factor of 2. That means the radius of W gets multiplied by 2 to transform into V. Therefore, it changes from 8 to 16.

Second, all circles are similar because they are all the same shape, just different sizes.

Answer:

I am in K12 the answer is below

The radius of circle V is 16.

Circle V and circle W are similar.

Step-by-step explanation:

Choose the graph of y > x2 − 9.

Answers

The first graph is the answer. 

Answer with explanation:

The given inequality which represents parabola:

     y> x²-9

Checking whether, (0,0) origin satisfies this inequality or not

0 > 0²-9

0> -9

Inequality is true.

So, origin will come under the shaded region.

Points on the boundary are not included.

Reggie currently has a square rug in his living room. He is moving soon and has determined that for his new living room, he will need a rug that has a width that is two feet shorter than his current rug and a length that is five feet longer than his current rug. Let x represents the side measure of Reggie's current rug, in feet. Determine the equation that represents the area, y, in square feet, of the rug needed for his new living room.




y = x2 + 3x - 10



y = x2 - 7x + 10



y = x2 - 3x - 10



y = x2 + 7x + 10

Answers

Answer:
y = x² + 3x - 10

Explanation:
Reggie's current rug has a square shape.
This means that:
length of rug = x ft
width of rug = x ft

For the new rug:
1- the length is 5 ft longer than the current rug. This means that:
new length = x + 5 ft
2- the width is 2 ft shorter than the current rug. This means that:
new width = x - 2 ft

The area of the new rug can be calculated as follows:
area of new rug = new length * new width
area of new rug = (x + 5)(x - 2)
area of new rug = x(x) - 2(x) + 5(x) - 5(2)
area of new rug = x² - 2x + 5x - 10
area of new rug = x² + 3x - 10 ft²

Hope this helps :)

Answer:

C. y = x² + 3x - 10

Step-by-step explanation:

Reggie's current rug has a square shape.

This means that:

length of rug = x ft

width of rug = x ft

For the new rug:

1- the length is 5 ft longer than the current rug. This means that:

new length = x + 5 ft

2- the width is 2 ft shorter than the current rug. This means that:

new width = x - 2 ft

The area of the new rug can be calculated as follows:

area of new rug = new length * new width

area of new rug = (x + 5)(x - 2)

area of new rug = x(x) - 2(x) + 5(x) - 5(2)

area of new rug = x² - 2x + 5x - 10

area of new rug = x² + 3x - 10 ft²

Just took the test <3.

A company that sells prefabricated homes ships the frames for each home in large shipping containers. Each shipping container is in the shape of a rectangular prism and its volume can be represented by the polynomial expression 5x3 + 7.5x2, where x is the width of the shipping container.
If the length of the shipping container is five times the width, write the expression that represents the height of the shipping container in terms of its width, x.

Answers

Let
x--------------> is the width of the shipping container
h-------------> is the height of the shipping container
l--------------> is the length  of the shipping container
V------------> volume rectangular prism containers

we know that
V=x*h*l
l=5*x
and 
V=5x³ + 7.5x²
then
clearing the variable h

h=V/[x*l]---------> h=[5x³ + 7.5x²]/[x*(5*x)]--------> h=[5x³ + 7.5x²]/[5*x²)]
h=(x²/x²)*[5x + 7.5]/[5]--------> h=(5x/5)+(7.5/5)------> h=x+1.5

the answer is h=(x+1.5)

Answer:

h = x + 1.5

Step-by-step explanation:

Start with the width. The width = x

The length is 5 times the width = 5*x or 5x

The volume of this is

Two things V = 5x^3 + 7.5x^2V = l * w * h     Substitute the length and width into the raw formula

5x^3 + 7.5x^2 = 5x * x * h

5x^3 + 7.5x^2 = 5x^2 * h                          Divide both sides by 5x^2

5x^3 / 5x^2    +    7.5x^2 / 5x^2   =   5x^2*h/ 5x^2

x + 1.5  = h <<<< Answer

Your Turn: Using the figure, a
c
= d
a
.

What steps need to be taken to change this to a² = cd?

Example: Multiply by 2; divide by a, etc

Answers

We are given:
[tex]\frac{a}{c} = \frac{d}{a}  [/tex]

First step is to get rid of fractions. We start by multiplying both sides by a.
[tex]\frac{a}{c} = \frac{d}{a} /*a \\ [/tex]

Now we cancel a on right side and we multiply both sides by c.
[tex]\frac{ a^{2}}{c} = \frac{da}{a} /*c \\ \frac{ a^{2}c}{c} = dc[/tex]

After canceling c on the right side we are left with:
[tex]a^{2} = dc or a^{2} = cd[/tex]

a cylinder has a circumgerence of 12pi cm and a height that is half the radius. what is the total surface

Answers

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r\quad \begin{cases} r=radius\\ -----\\ C=12\pi \end{cases}\implies 12\pi =2\pi r\implies \cfrac{12\pi }{2\pi }=r\implies 6=r\\\\ -------------------------------\\\\ \textit{total surface of a cylinder}\\\\ S=2\pi r(h+r)\quad \begin{cases} r=6\\ h=\stackrel{half~of~r}{3} \end{cases}\implies S= 2\pi (6)(3+6)[/tex]

and surely you know how much that is.

PLEASE SOMEONE HELP ME ON THIS!!

ILL GIVE BRAINLIEST TO YOU IF YOUR ANSWER IS CORRECT

Answers

only the first one is right.
I think it's the first 2 choices

What are the solutions to the equation? n2−8n+16=25 Enter your answers in the boxes.
n1=
n2=

Answers

n^2 - 8n - 9 = 0

(n - 9)(n + 1) = 0

n1= 9

n2= -1
not entirely sure what you are looking for but the answer to n2-8n+16=25 is n=9, -1

Suppose that F(x) = x^3 and G(x) = (4x)^3 − 5. Which statement best compares the graphs of F(x) and G(x)?

A.The graph of G(x) is the graph of F(x) stretched vertically and shifted 5 units down.
B.The graph of G(x) is the graph of F(x) stretched horizontally and shifted 5 units down.
C.The graph of G(x) is the graph of F(x) compressed vertically and shifted 5 units down.
D.The graph of G(x) is the graph of F(x) compressed horizontally and shifted 5 units down.

Answers

Final answer:

The graph of G(x) is the graph of F(x) stretched horizontally by a factor of 4 and shifted 5 units down.

Explanation:

Comparing the functions [tex]F(x) = x^3[/tex] and  [tex]G(x) = (4x)^3 - 5[/tex]reveals the relationship between their graphs. G(x) is a horizontal stretch of F(x) by a factor of 4 due to the presence of "4x." Additionally, the constant term "-5" shifts the graph downward by 5 units. Consequently, G(x) can be accurately characterized as a horizontal stretching of F(x) and a vertical shift downward by 5 units, altering the shape and position of the original cubic function F(x).

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Using the graph below, what is the 10th term of the arithmetic sequence?

A.a10 = 26

B.a10 = 31

C.a10 = 30

D.a10 = 436

Answers

Final answer:

The 10th term of an arithmetic sequence can be found using the formula an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference. Without the graph or additional information, we cannot compute the 10th term for the given sequence.

Explanation:

The question asks us to determine the 10th term of an arithmetic sequence using a provided graph. Unfortunately, the actual graph is not provided in the question. An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant, known as the common difference. To find the 10th term of an arithmetic sequence, we would use the formula:

an = a1 + (n - 1)d

where an is the nth term of the sequence, a1 is the first term, n is the term number, and d is the common difference. However, without the graph or additional information such as the first term or the common difference, we cannot accurately determine the 10th term, and any answer from the provided options would be purely a guess.

Final answer:

To find the 10th term of an arithmetic sequence, we need to use the formula an = a1 + (n-1)d, where an is the nth term, a1 is the first term, n is the position of the term, and d is the common difference. In this case, the common difference is -3. Substituting the values into the formula, the 10th term is -24.

Explanation:

To find the 10th term of an arithmetic sequence, we need to identify the common difference and use the formula:

an = a1 + (n-1)d

where an is the nth term, a1 is the first term, n is the position of the term, and d is the common difference.

In this case, the given sequence is 3; 14; 11; 5; 16; 17; 28; 41; 31; 18. By comparing the terms, we can see that the common difference is -3.

Substituting the values into the formula:

a10 = 3 + (10-1)(-3) = 3 - 27 = -24

The 10th term of the arithmetic sequence is -24.

please someone help me!

Answers

The perimeter is double the sum of the sides.
.. P = 2(3x/(x +10) +x^2/(x -5))
.. = 2(3x(x -5) +x^2(x +10))/((x +10)(x -5))
.. = 2(x^3 +13x^2 -15x)/(x^2 +5x -50)

[tex]P=\frac{2x^{3}+26x^{2}-30x}{x^{2}+5x-50}[/tex]

Michelle is having a poster printed from a picture that is 4 inches wide by 6 inches tall. The enlarged poster is 20 inches wide and 30 inches tall. Which proportion can be used to represent the picture sizes

Answers

Hello!
----------
A proportion that can be used to represent the picture sizes is p(poster printed) times 4 equals e(enlarged poster), or p*4=e.
----------
Have a great day!

Answer with Step-by-step explanation:

Michelle is having a poster printed from a picture that is 4 inches wide by 6 inches tall.

The enlarged poster is 20 inches wide and 30 inches tall.

20=4×5

i.e. width of enlarged picture=5×width of actual picture

30=6×5

i.e. height of enlarged picture=5×height of actual picture

Hence, proportion that can be used to represent the picture sizes is:

picture:enlarged picture = 1:5

1. Write using exponents. (–4)(–4)

Answers

Exponents are used as a shorthand notation for repeated multiplication.
  [tex] (-4)(-4) = (-4)^{2}[/tex]

Find the area of the parallelogram with vertices a(1,2,3), b(1,3,6), c(3,8,6), and d(3,7,3,)

Answers

The answer is: A=√265.

1.) Keeping in mind that a function's rate of change is a measure of how fast the function is increasing or decreasing, what does the slope of a linear function indicate?

Answers

"Slope" is the "function's rate of change", so it indicates "how fast the function is increasing or decreasing."
slope slope shows the speed of increase or decrease
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