Given the system of equations, what is the value of the system determinant?
2x + y = 8
x - y = 10
0-1
0-2
0-3
Given:
The system of equation is
[tex]2x+y=8[/tex]
[tex]x-y=10[/tex]
To find:
The value of the system determinant.
Solution:
If two equations of a system of equations are [tex]a_1x+b_1y=c_1[/tex] and [tex]a_2x+b_2y=c_2[/tex], then the system determinant is
[tex]D=\left|\begin{matrix}a_1&b_1\\a_2&b_2\end{matrix}\right|[/tex]
[tex]D=a_1b_2-b_1a_2[/tex]
The given two equations are [tex]2x+y=8[/tex] and [tex]x-y=10[/tex].
Here, [tex]a_1=2,b_1=1,c_1=8, a_2=1,b_2=-1,c_2=10[/tex].
[tex]D=\left|\begin{matrix}2&1\\1&-1\end{matrix}\right|[/tex]
[tex]D=(2)(-1)-(1)(1)[/tex]
[tex]D=-2-1[/tex]
[tex]D=-3[/tex]
The value of the system determinant is -3. Therefore, the correct option is C.
Answer:
-3
Step-by-step explanation:
2x+-3=8
x-3=10
Can you help me and explain too :)
Solve for x. Round to the nearest hundredth.
9514 1404 393
Answer:
18.21
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
tan(35°) = x/26
x = 26·tan(35°) ≈ 18.2054
The value of x is about 18.21.
What is the nth term of the sequence 2,5,10,17,28.. ?
n² + 1 = 2 5 10 17 26. So the nth term of the sequence is n²+1.
Five times a number decreased by nine is equal to twice the number increased by 23. Which equation could be used to solve the problem?
Answer:
5x - 9 = 2x + 23
Step-by-step explanation:
x = a number
5 times x = 5x
decreased by 9 = - 9
=
2 times x = 2x
increased by 23 = + 23
Answer:
Step-by-step explanation:
The answer is B. 5x – 9 = 2x + 23. i just took the test.
you are playing rock , paper , scissors with your friend . what is the probability that your will throw something other than rock ?
A. 1/2
B. 2/3
C. 1
D. 1/3
Answer:
2/3
Step-by-step explanation:
i need help with this pleasee
select two ratios that are equivalent to
7 : 10
there are two answers:
21 : 30
17 : 20
10 : 13
26 : 40
35 : 50
Given that (1,9) is on the graph of f(x), find the corresponding point for the function f(x+3).
find the domain and range of f(x)= -2x²+3
Answer is in pictures and work as well
Answer:
you need to know what domain and range mean... so remember domain is the input.... range is the output.. :)
Step-by-step explanation:
the input .. "x" in this case.. can be any number .. so the domain is all real numbers.
the output.. or range.. is limited.. b/c the square on the 'x" will always make that number positive.. and then it's multiplied by the negative 2.... so that term will always be negative. : | hmmmm so when is that squred term the smallest it can be? hmmm when it's zero... soooo this function will .. at it's greatest point be 3 and go down from there...
the range is from -∞ to 3
see? :)
a company sells tablet computers and phones. it sells a total of 150 items this month. the number of tablets sold is half of the number of phones sold. the company makes profit of $300 on each tablet and $400 on each phone. what is the profit the company makes this month?
Answer:
$52500 this month
Step-by-step explanation:
150 divided by 2 = 75
$75 x 300 = 22500
$75 x $400 = 30000
$22500
+ $30000
_________
$52500
The domain for f(x) = x2 − 3 is 0 ≤ x ≤ 4. What is the least value in the range of f(x)?
Answer: -3
Step-by-step explanation:
Solve the system.
4x+2y+3z=12
2x−3y+5z=−7
6x−y+4z=−3
find the lenght of cd
Use the distance formula.
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]x_2=7\\x_1=3\\y_2=-8\\y_1=-2[/tex]
[tex]\sqrt{(7-3)^2+(-8-(-2))^2}[/tex]
=[tex]\sqrt{4^2+(-6)^2}[/tex]
=[tex]\sqrt{16+36}[/tex]
=[tex]\sqrt{52}[/tex]
≈7.2111...
So the answer is B! Hope this helped!
HELP PLS i really need help
A circle is dilated by a scale factor of 1.5 to create a new circle. The area of the new circle is 1.5 times the area of the original circle.
True or false??
Given:
The given statement is "A circle is dilated by a scale factor of 1.5 to create a new circle. The area of the new circle is 1.5 times the area of the original circle."
To find:
Whether the given statement in true or false.
Solution:
Area of circle is
[tex]A=\pi r^2[/tex]
Where, r is the radius of the circle.
Let [tex]r_1[/tex] be the radius of the original circle. So, the area of the circle is
[tex]A_1=\pi (r_1)^2[/tex]
The circle is dilated by a scale factor of 1.5 to create a new circle. So, the radius of the new circle is:
[tex]r_2=1.5r_1[/tex]
The area of the new circle is
[tex]A_2=\pi (r_2)^2[/tex]
[tex]A_2=\pi (1.5r_1)^2[/tex]
[tex]A_2=2.25\pi (r_1)^2[/tex]
[tex]A_2=2.25A_1[/tex]
The area of the new circle is 2.25 times the area of the original circle.
Therefore, the given statement is false.
7 (1) = 7 is an example of what property?
Answer:
Identity property
Step-by-step explanation:
Identity property of multiplication: The product of 1 and any number is that number. For example, 7 × 1 = 7 7 \times 1 = 7 7×1=77, times, 1, equals, 7.
I hope it's helpful!
Please give me the correct answer.Only answer if you're very good at math.
Answer:
a is equal to 0 will be the answer.
Answer: A is equal to 0
Anything’s you time by 0 you get 0 remember that
Step-by-step explanation:
0 and 0.1*0=0 and 0.01*0=0 so 0=0
YO SOMEBODY HELP PLS IM STUCK
Answer:
Step-by-step explanation:
Thank me later
its - 5 why becase look at the question if im wrong sorry
its - 5
Dan has 3 ⅔ cups of milk. If he used ¼ of the milk for his breakfast, how much milk does Dan have left?
Answer:3 whole numbers 2/12
Step-by-step explanation:
2/3 x 1/4
3 2/12
how many factors of 10 are in 10 of the third power?
Answer:2 times 5 equals 10
Step-by-step explanation:
"The factors of 10 are 1, 2, 5, and 10. You can also look at this the other way around: if you can multiply two whole numbers to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10." From ww.infoplease.com great resource
The required factor of 10 in 10 of the third power is 3.
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
Here,
10 of the third power = 10³
10³ = 10×10×10
The expression 10×10×10 has 3, 10's
Thus, the required factor of 10 in 10 of the third power is 3.
Learn more about Factors here:
https://brainly.com/question/24182713
#SPJ5
E
2
65°
57°
G
15. What is the measure of ZEFG in the triangle shown?
O A.56°
O B. 59°
O C.57°
O D.58°
Answer:
mmmaaaakkkeee iitt clleearr plsss
Help? and please make sure it’s right :)
Answer:
x=7
Step-by-step explanation:
180-105= 75°
11x-2=75°
11x=77
x=7
Guys please help me on this!
HELP pls if you know this
Answer:
58
Step-by-step explanation:
Apply the distributive property to create an equivalent expression 4(x-2+y)
Answer:
4 * x
4 * -2
4 * y
4x-8+4y
Step-by-step explanation:
Answer:
4x+4y-8
Step-by-step explanation:
(✿◡‿◡) <-- she wants Brainliest
A man jogs 6 miles in 1 hour 12 minutes. Calculate the average speed.
Answer:
ratio is 6(miles):72(mins)
72/6=12
12 mins per mile
i hope this is what you are looking for
A triangle is show below, what is the value of X?
Answer:
x=149
Step-by-step explanation:
pythagoras theorem dictates that a squared +b squared= c squared
in this case, c=x
51*51+140*140=x*x
2601+19600=x*x
22201=x*x
x=149
The sum of 3 times the value of x and 2 is equal to 4 less than 5 times the value of x. Which equation can be used
to find the value of X?
Answer:
the equation must be 3x + 2 = 5x - 4
Are natural numbers, whole numbers and integers also rational numbers
Answer:
yes they are rational
Step-by-step explanation:
in mathematics rule numbers that are positive are usually in rational form❤