The solution to the system of equations x + 2y = 1 and -3x-2y = 5 is:
x = -3, y = 2
The given system of equations:
x + 2y = 1............(1)
-3x - 2y = 5..........(2)
This can be written in matrix form as shown:
[tex]\left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right][/tex]
Find the determinant of [tex]\left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right][/tex]
[tex]\triangle = 1(-2) - 2(-3)\\\triangle = -2+6\\\triangle = 4[/tex]
[tex]\triangle_x = \left[\begin{array}{ccc}1&2\\5&-2\end{array}\right]\\\triangle_x = 1(-2)-2(5)\\\triangle_x = -2-10\\\triangle_x =-12[/tex]
[tex]\triangle_y = \left[\begin{array}{ccc}1&1\\-3&5\end{array}\right]\\\triangle_y = 1(5)-1(-3)\\\triangle_y = 5 + 3\\\triangle_y =8[/tex]
[tex]x = \frac{\triangle_x}{\triangle} \\x = \frac{-12}{4} \\x = -3[/tex]
[tex]y = \frac{\triangle_y}{\triangle} \\y = \frac{8}{4} \\y = 2[/tex]
The solution to the system of equations x + 2y = 1 and -3x-2y = 5 is:
x = -3, y = 2
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In need help with this thx
Answer: the answer is 21√10
Step-by-step explanation:
√ 3 ( 7 √ 3 )
√3 ×12.12435565
21
10% of 30 (this is for a quiz, thanks if u can help)
Answer:
3
Step-by-step explanation:
3 * 10 = 30
Hope I could help!
How many boxes of that particular tennis shoe did Alan’s athletic store have at the end of the day ?
Answer:
75 should be the answer
Step-by-step explanation:
if you take 100 plus that 50 then divide the 150 in half theres 75
3
a. What is mZTVZ? Show your work.
R
S.
120°
v (2x + 15)°
3x°
T
(2x + 5)^
The answer is 95
3x=120 head by head angle
so the x=40
m TVZ also meet the (2x+15) angle
m TVZ = 2x+15
and the x equal to 40
m TVZ= 2(40)+15
m TVZ= 80+15
m TVZ= 95.
Have great day
Answer:
the intersection make every angles share the same head has the same value the answer is 95Step-by-step explanation:
1) 120=3x then x= 40
2) 2x+15=( 2*40)+15=80+15=95°
3) then TVZ=95°
SOMEONE HELP ME WITH THE HW ILL MARK YOU BRAINLY
PLEASE MARK BRAINLIEST
Step-by-step explanation:
1. 10÷2/4
10×4/2=20
2. 1/10÷6=1/10×1/6
=1/60
3. 9 ÷9/10=9 × 10/9
=10
4. 7÷1/4= 7× 4/1
=28
5. 1/3 ÷8= 1/3 × 1/8
=1/24
6. 3÷1/3= 3×3= 9
7. 3÷1/2= 3× 2= 6
8. 4/5÷ 2= 4/5 × 1/2
=4/10
9. 3/5 ÷9= 3/5 × 1/9=3/45 =1/15
10. 3÷3/4= 3× 4/3=12/3=4
an animal sanctuary currently has 125 elk in it. the elk are expected to increase by 20% each yea. How many elk will there be in 3 years
[tex]\sf 600+303+400[/tex]
no links please Angle A measures 50 degrees. If angle A is rotated 45 degrees, what is the measure of angle A'?
Answer:
95? Sorry if I'm wrong.... :)
Step-by-step explanation:
Can u guys help me with #5 and 6 please?
2x+5+6x^2-4x+3x^4-6x^2+4x^4+7x
The ratio of fruit juice to water is 1:5. How
much water is needed to make 12 liters of
punch?
Answer:
10 liters.
Step-by-step explanation:
ratio: 1:5
sum of ratio: 1+5=6
Total volume of mixture = 12
Volume of water in mixture (fraction) = 5/6*12 = 5*2 = 10 liters.
PLEASE ANSWER ASAP BREAIANEST!!!!
Answer:
I believe it is -11/8 cups
HELPPPPPPPP PLSSSWWWSD&Y6UIB
Your answer is gonna be the answer A
Multiply.
(−411)×(0.1)×(−22)
Answer:
904.2
Step-by-step explanation:
3.96 divide by 1.87 can someone help me divide this two number please and please hurry up because
Answer:
2.11764705
Step-by-step explanation:
Brainliest?
can someone help me with this
Answer:
net loss of 3 degrees
Step-by-step explanation:
we can write this out as an equation. let x represent the temperature when iko woke up.
x+11-14
simplify to get your answer:
x-3
this means that the net loss was 3 degrees over the course of the day.
Please help me I beg u
Answer:
a. 36
b. 54
c. 2
d. 3
Step-by-step explanation:
a. [tex]6^{2}[/tex]
Calculate 6 to the power of 2 and get 36.
6 x 6 =
36
b. 56 + -2
Subtract 2 from 56 to get 54.
56 - 2 =
54
c. 6 + -[tex]2^{2}[/tex]
Calculate 2 to the power of 2 and get 4.
6-4
Subtract 4 from 6 to get 2.
2
d. [tex]\frac{-2 + 20}{6}[/tex]
Add −2 and 20 to get 18.
[tex]\frac{18}{6}[/tex]
Divide 18 by 6 to get 3.
3
what type of mathematical law is this (6+4)+100=6+(4+100)
Answer:
Associative Property of Addition
Step-by-step explanation:
According to the Associative Property of Addition: when three real numbers are added, it makes no difference which two are added first.
a + (b + c) = (a + b) + c
Therefore, in the given equality statement: (6 + 4) + 100 = 6 + (4 + 100), the sum of the numbers on either side of the equation will have the same results.
(6 + 4) + 100 = 6 + (4 + 100)
(10) + 100 = 6 + (104)
110 = 110
Please mark my answers as the Brainliest, if you find this explanation helpful :)
help, again my brain is useless
The circle graph below shows the results of a survey. Of those surveyed, 20 said no. About how many people were surveyed?
Answer:
50 people
Step-by-step explanation:
20 / .4 = 50
if 40% = 20
then 20% = 10
therefore 60% = 20% *3
60% = 10 * 3
60% = 30 people
hope this helps
How can I find the dimensions that equal 36?
Answer:
The dimensions that equal 36 can be a rectangle, based off the length and width within cm, the length will equal to 9 and width will equal to 18
Explanation:
Let the length of the rectangle be L and the width be W. The perimeter of a rectangle is 2(L + W) = 36
=> W = 18 - L
What is pm ⋅ pn equal to?
'
Answer:
pm*pn = p^2mn. But if p=1, then it would just be pm*n
Step-by-step explanation:
Hope this helps
Srry if it doesn't
HELP!!!!!!!!!!!!!!!!!!-
Answer:
= 10 R 22
= 10 22/34
= 10 11/17
Step-by-step explanation:
There are 20 black, 15 white, 12 green, 12 red, 9 blue, and 2 yellow candies in a box. How many candies should you take (without looking at them) to be sure that you have at least 3 candies the same color?
Answer:
All of them lol.
Step-by-step explanation:
If you take all of them, you have a 100% chance at getting at LEAST 3 candies of the same color.
The Lopez family is driving to the state fair. First, they drove 32 kilometers to stop for a snack. Then, they drove another 35 kilometers and stop for gas. There were 17 kilometers left to drive.
How many kilometers does the family have to drive to get to the state fair?
32 kilometers + 35 kilometers + 17 kilometers
= 67 kilometers + 17 kilometers
= 84 kilometers
#LearnWithEXO
Answer:
84 kilometers
I hope it will help you po
Does the table below represent a linear or nonlinear function?
Answer:
linear
Step-by-step explanation:
the ys go up constantly(brainliest please)
Answer:
your answer would be non linear
The population of insects in an experiment has
been increasing by 9% each week. If there were 16
insects at the beginning of the experiment, predict
how many insects there will be after 8 weeks.
Answer:
[tex]16 (1 +0.09)^{8}\\[/tex]
Future Amount = 38 (rounded)
Step-by-step explanation:
hope this helps.
I NEED ANSWERS!!
THE POINTS ARE 25
Answer:
B. 1 1/3
Step-by-step explanation:
Exact Form 4/3
Decimal form 1.3
Mixed Number 1 1/3
PLEASE HELP PLEASE PLEASE HELP PLEASE
Answer:
2
Step-by-step explanation:
it dot number 2 to click
Answer:
0 ≤ months ≤ 12
Step-by-step explanation:
Domain is the x-values and axis, so it is 0 to 12.
Hopefully this helps!
Brainliest please?
Find the distance between M(6, -7) and a line that contains
C(-6, -2) and H(-1, 10).
Answer
Step-by-step explanation:
i really need help with it
The distance between M and C is √61 and distance between M and H is 13√2.
What is distance formula?The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula.
Assume that 'd' is the distance between A and B.
d =√(x2 - x1)² + (y2 - y1)²
Given coordinates:
M(6, -7) and a line that contains C(-6, -2) and H(-1, 10).
Now, distance between M and C
=√(-6 -6)² + (-2 + 7)²
=√36 + 25
= √61
and, MH
=√(-1-6)² + (10 +7)²
=√49+ 289
= √ 338
= 13√2
Learn more about distance formula here:
https://brainly.com/question/1872885
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