Which diagram represents the type of solution to this system of equations?
7x − 12y + z = -1
8x − 10y = 5
21x − 36y + 3z = -3
A.
B.
C.
D.
Answers
Answer: The answer should be A.
Step-by-step explanation: When solving the first and third equations, it becomes 0=0. I'm assuming that is one solution. Then 8x-10y=5 should be the other solution. In other words, there is 2 solutions.
The correct diagram represents the type of solution to this system of equations is shown in Option A.
We have to given that,
System of equations are,
7x - 12y + z = -1 .. (i)
8x - 10y = 5 .. (ii)
21x - 36y + 3z = -3 .. (iii)
Now, From equation (i);
Multiply by 3;
3( 7x - 12y + z) = -1 × 3
21x - 36y + 3z = - 3
Which is same as equation (iii).
Hence, Equation (i) and (ii) are parallel to each other.
And, It's a triple relationship.
Thus, Only option A has parallel planes.
So, Option A is true.
Learn more about systems of equations at:
brainly.com/question/14323743
#SPJ2
Related Questions
a) 15% of what is 12?
Answers
Answer: 80
Step-by-step explanation:
Given
15% of ? is 12
We multiply
Answer:
80
Step-by-step explanation:
15% × ? = 12
? =
12 ÷ 15% =
12 ÷ (15 ÷ 100) =
(100 × 12) ÷ 15 =
1,200 ÷ 15 =
80
A square has a side that is 5 meters long. What is the diagonal length of the square?
Answers
Answer:
5 meters
Step-by-step explanation:
a squares six sides are all equal, therefore if one side is 5 meters, all other sides are 5 meters
Find a formula for the general term or of the sequence assuming the pattern of the first few terms
continues.
{14, 19, 24, 29, 34, ...}
Assume the first term is a1.
an=?
Answers
Answer:5n+6
Step-by-step explanation :an=a1+d(n-1)
=1+(-5)(n-1) or 1+-5n+5
an=-5n+6
Mark bought gifts for his friends, and each gift cost $9. Let y represent the total cost and x represent the number of gifts. Write an equation to
represent the proportional relationship between the total cost and the number of gifts he bought. (4 points)
Оа
y = 8x
Oь
1
y = 8
Oc
y = 9x
Od
1
10
ya
Answers
Answer:
9x=y
Step-by-step explanation:
9 times x will equal the number of gifts (y). so the answer is Oc= y=9x
Please help me fastttt!!!!
Answers
Answer:
-4
Step-by-step explanation:
2^2 =4
PMDAS
-36 / 4 +5
-9+5
-4
Last week, Leah worked 25 hours on weekdays and 11 hours on the weekend. Which ratio compares the number of hours Leah worked on the weekdays to the total number of hours she worked?
Answers
Answer:
25:36
Step-by-step explanation:
the number of hours on weekdays which is 25, and the total hours she worked is 25+11 which is 36, so it is 25:36
Find X for this shape
Answers
Answer:
x=58
Step-by-step explanation:
ok this is a 5 sided polygon
5 sided polygon has 540 degrees
540-90-120-108-100= the unkown angle
122
but look at the line exterior plus interior = 180 degrees
180=122+x
subtract 122 from both sides
x=58
A quiz consists of 920 true or false questions. If the student guesses on each question, what is the mean number of correct answers
Answers
Answer:
460
Step-by-step explanation:
This quiz is Said to consist of 920 questions. Each if these questions have 2 options of answering them only. Which is True or False.
True represents correct = 0.5
False represents wrong = 0.5
The probability of correct is = 0.5
With a sample size of 920
Mean = no
= 920x0.5
= 460
So the mean number of correct answer from this calculations I just did is equal to 460
A road sign indicates a school bus stop is 0.3km. How far is that in metres?
Answers
Answer:
The answer is 300.
Step-by-step explanation:
A kilometer is 1000 meters, therefore 0.3 km x 1000 = 300 meters
у = 2 – 3х
Is this a linear equation
Answers
What is the Cost of Goods if manufacturing costs equal $50 each, packaging equals $1.00 each, delivery equals $2.00 each, and advertising equals $1,000?
Answers
Answer:
$1,053.00
Step-by-step explanation:
50 + 1.00 + 2.00 + 1,000 = 1,053.00
Explanation:
50$ + 1$ + 2$ = 53$
50 for the production
1$ for packaging
2$ for delivery
If a household appliance has a wattage of 7,043 and is in use for 9 hours, how much CO2 was produced? Round to 1 decimal.
Answers
Answer: = 62.8 pounds of CO₂
Step-by-step explanation:
1 kilowatt per hour produces 0.99 pounds of C02.
The total wattage in hours used was;
= 7,043 * 9 hours
= 63,387 watts
In kilowatts;
= 63,387/1000
= 63.387 kilowatts
CO2 produced;
= 63.387 * 0.99
= 62.75313
= 62.8 pounds of CO2
Enter the value of p so that the expression 3(4+n) is equivalent to 3(n+p).
Answers
Answer:
3(4+n)
Step-by-step explanation:
Evaluate the expression.
| 31 | + | –5 |
Answers
Answer:
36
Step-by-step explanation:
The answer is the absolute value of 31 + (-5)
So it is 36
Enter the slope of the line through the points (4, 15) and (4, 12). *
Answers
Answer:
-3/0 is the slope....or just -3.
Step-by-step explanation:
slope method = m= y2 - y1/ x2 - xm = 12 - 15/ 4 - 4 = -3/0 or just -3 simplified.
2x+3x+y+2y combining like terms and distributive property
Answers
Answer:
5x+3y
Step-by-step explanation:
You combine the x's and the y's
It’s not b!!!! Help me please
Answers
Answer:
D maybe? im not sure
Step-by-step explanation:
What is the independent variable of y=3.5x+2.8
Answers
Answer:its y and x = 6.3
Step-by-step explanation:
look
Please help! (Not hard) I’m just slow
Answers
Answer: i think it is a
Step-by-step explanation:
Answer- the answer is C because x axis gos first therefore y=2
Do both ASAP due in 7 mins and pls show all the steps
Answers
the answer is 1961.6
if you need a remainder, it is 1961 r9
What is the degree of the simplest polynomial function with zeros at the square root of 3, 4i, and -2.
Answers
Answer:
Degree of polynomial → 4
Step-by-step explanation:
Conjugate roots theorem states that if a polynomial has a root (a + ib), then (a - ib) will be the other root.
In this question it has been given that a polynomial function has the zeros (roots) as x = [tex]\sqrt{3}[/tex], 4i and -2.
Therefore, the given polynomial will have four roots, [tex]\sqrt{3}[/tex], 4i, -4i and -2.
Function will be f(x) = (x - [tex]\sqrt{3}[/tex])(x + 4i)(x - 4i)(x + 2)
Degree of the polynomial → 4
WILL GET BRAINLIEST AND POINTS PLS HELP
Answers
Answer:
D. -6
Step-by-step explanation:
frist elimnate the postive numbers because it is impossible if it was a positve number.
Then you have two numbers left, all you have to do is multiply each one by either 3 or -5.
so -10.3 is too big and -6 is just right
x = -6
what is 9 + 10? hi my name is andy. i have a dad who works on this website and i want to prank him
Answers
Answer:
19.
How do you want to prank him?
Step-by-step explanation:
Answer: 19
Step-by-step explanation: 9+10 is equal to 19. (I get the joke but I don't want to get flagged)
a the power m ×b the power n
Answers
Answer:b = +7-6
Step-by-step explanation:
HELPPPPPPP!!!!! PLEASE!!!!!
Answers
Answer:
B
Step-by-step explanation:
You can tell by looking at the graph that the x coordinate is 4, and the only option with an x coordinate of 4 is B
|-4y+2z|-7z z=-9 and y=2
Answers
Answer:
37 sorry if i calculated wrong
step-by-step explanation:
What is the value of the function at x = 22 Enter your answer in the box .please help.
Answers
Answer:
its gonna be whatever the y value is when x is 22
Step-by-step explanation:
3.0625 divided by 7 in long division
Answers
Answer:
the answer to your question is 0.4375
100 points to the people who answer and you'll be reported if answer with something stupid
Y'all, what's another way to say "dramatic flare"
please and thank you:)
Answers
Answer:
another way to say dramatic flare is flamboyant which means to be loud and dramatic like saying the shirt with the parrots on it is very flamboyant
Step-by-step explanation: brainliest plz
Help me I’m not sure the answe
Answers
Answer:
i believe it would be the last option.
Step-by-step explanation: