Answers
Hey there! I'm happy to help!
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QUESTION 18
Here is how you multiply a 2×2 matrix by a column vector (just one column matrix).
[tex]\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] *\left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}ax&by\\cx&dy\\\end{array}\right][/tex]
Once you get that final matrix, you add the rows which will give you a final column vector. Let's do it with this question, as we are multiplying together the matrices A and v.
[tex]\left[\begin{array}{ccc}-1&4\\2&0\\\end{array}\right] *\left[\begin{array}{ccc}8\\6\\\end{array}\right] =\left[\begin{array}{ccc}-8&24\\16&0\\\end{array}\right] =\left[\begin{array}{ccc}16\\16\\\end{array}\right][/tex]
So, your answer is [tex]\left[\begin{array}{ccc}16\\16\\\end{array}\right][/tex].
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QUESTION 14
We have this equation of an ellipse and we need to solve for y. When we have a more complex equation to solve you get rid of the things furthest from the variable you are solving for first and then you get closer and closer to it.
[tex]\frac{x^2}{25} + \frac{y^2}{16}=1[/tex]
We subtract [tex]\frac{x^2}{25}[/tex] from both sides.
[tex]\frac{y^2}{16}=1-\frac{x^2}{25}[/tex]
We multiply both sides by 16.
[tex]y^2=1-\frac{x^2}{25}*16[/tex]
We square root both sides.
[tex]y=[/tex] [tex]\sqrt{1-\frac{x^2}{25}*16[/tex]
We can take a four out of our root (because 16 is a perfect square so it can be simplified more).
y= [tex]4\sqrt{1-\frac{x^2}{25}[/tex]
And we take out 1/5 (which is the square root of 1/25).
y=± [tex]\frac{4}{5}\sqrt{1-x^2[/tex]
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QUESTION 17
We see that Sea Slugs have 3/10 matches won, so they have won 30% of their matches.
From now on, they will be winning 2/3 of their games. Let's look at the answer options.
A. If they play 15 more games, they will win 10 of them. Our total matches will be 25 (our original 10+15). So, we will have 13/25, which is equal to 52%, so this is incorrect.
B. If they play 10 more games they win 6 2/3 games (like that makes any sense) for a total of 9 2/3 games out of 20. This is about 48%, so this is incorrect.
C. If they play 40 games, they are winning fractional games again. They win 29 2/3 games out of 50 total, which is about 59%, but not quite 60. This is also incorrect.
D. If they play 45 matches, they will win 30 games. Add the original 10 and you have 40 games. Our total is 55. 40/55 is about 73%, so they have passed that 60% threshold, so this is the correct answer.
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QUESTION 16
Our question tells us that if we have two numbers x and y, and we add them, it has to be 24 or greater. By saying it can be equal to 24 or greater, we are going to be using a ≤ or ≥ sign. The opening of the arrow always faces the equal or greater quantity, and in this case it is x+y, so it will look like x+y≥24.
This eliminates answer choices B and D as they do not have the equal part on the inequality.
Product means to multiply, so it will be written as xy. It has to be less than 60, so in this case the greater quantity is 60, so the arrow will opening towards 60, so it will look like xy<60.
So, our final answer is A.
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QUESTION 12
You can only multiply matrices if the number of columns in the first matrix is equal to the number of rows in the second. So basically the two interior numbers have to be the same (a,b) and (b,c). So, if we follow this, we get these answers:
2×2 times 2×1 YES
2×1 times 2×2= NO
3×3 times 3×1= YES
3×1 times 3×3= NO
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Have a wonderful day and keep on learning! :D
Related Questions
Use the substitution method
y=6x+2 and y=3x+11
Solve for x and y
please put in ordered pair
Answers
Answer:
222222
Step-by-step explanation:
Evaluate \dfrac {9}m+4 m 9 +4start fraction, 9, divided by, m, end fraction, plus, 4 when m=3m=3m, equals, 3.
Answers
Fractions can be evaluated, same way non fractions are evaluated
The result of the fraction expression [tex]\mathbf{\dfrac {9}m+4}[/tex] is 7
The given parameters are:
[tex]\mathbf{\dfrac {9}m+4}[/tex]
[tex]\mathbf{m = 3}[/tex]
So, we have:
[tex]\mathbf{\dfrac {9}m+4}[/tex]
Substitute 3 for m
[tex]\mathbf{\dfrac {9}m+4 = \dfrac {9}3+4}[/tex]
Evaluate the division
[tex]\mathbf{\dfrac {9}m+4 = 3+4}[/tex]
Add 3 and 4
[tex]\mathbf{\dfrac {9}m+4 = 7}[/tex]
Hence, when m equals 3, the result of the fraction expression [tex]\mathbf{\dfrac {9}m+4}[/tex] is 7
Read more about fractions at:
https://brainly.com/question/6201432
cos30° cos45°-sin30° sin 45°
Answers
Answer:
(√6 - √2)/4
Step-by-step explanation:
cos30°cos45° - sin30°sin45°
= cos (30 + 45)°
= cos 75°
= (√6 - √2)/4
Distribute 9x(9x+3) help please
Answers
[tex]9x(9x + 3) \\ \\ 81 {x}^{2} + 27x[/tex]
Hope it help youtriangle ABC is congruent to triangle DBC
Answers
Yes it is
Triangle ABC is congruent to triangle DBC
Answer:
hi i am new in this app can u help
Step-by-step explanation:
hi miss can you help
What time is shown on the clock?
Answers
Answer:
its 12.03
have a great dayy
Answer:
12:40
hope this will help you have a great day
NOTE : answer only the 2nd question
Answers
Answer:
60 degrees.
Step-by-step explanation:
BC is parallel to the x axis (because B and C have the same y-coordinate).
Slope of AB is 3/√3 = √3
so the angle AB makes with the axis = angle it makes with BC
= arctan(√3)
= 60 degrees.
Find the distance between the points (-4,-1) and (4,1). Round to 2 decimals places
Answers
Answer:
length between is 8.54 units
Step-by-step explanation:
Formular:
[tex] { \bf{ = \sqrt{ {(x_{1} - x_{2}) }^{2} + {(y_{1} - y_{2}) }^{2} } }}[/tex]
x1 is -4
x2 is 4
y1 is 4
y2 is 1
[tex] = \sqrt{ {( - 4 - 4)}^{2} + {(4 - 1)}^{2} } \\ = \sqrt{64 + 9} \\ = \sqrt{73} \\ = 8.54 \: units[/tex]
Answer:
Distance = 8.25 units
Step-by-step explanation:
use the formula :
√ (x2 _ x1) + (y2 - y1)
where ,
x2 = 4
x1 = -4
y2 = 1
y1 = -1
Help me please look at the pictures
Answers
Margarita entrena tres semanas para participar en un maratón. En la segunda semana recorre 1 km más que en la primera y en la tercera semana, corre el doble de km que los corridos en la segunda, ¿cuál es la representación algebraica simplificada de los kilómetros recorridos durante el entrenamiento?
Answers
Queremos encontrar una expresión algebraica que representa la situación dada.
Encontraremos que está es: 4*D + 3
Lo primero que debemos hacer es definir la variable.
Definamos D como la distancia que Margarita recorre en la primer semana.
En la segunda semana, Margarita recorre un kilometro más que en la primera, entonces en la segunda semana Margarita recorre:
D + 1km
En la tercera semana, Margarita recorre el dolbe de km recorridos en la segunda.
En la segunda ella recorrio D + 1km, y el doble de eso es:
2*(D + 1km) = 2*D + 2km
La distancia total recorrida sera la suma de las 3 semanas:
D + (D + 1km) + (2*D + 2km)
Simplificando los km, así solo queda una expresión algebraica, obtenemos:
D + (D + 1) + (2*D + 2)
Podemos simpliicar esto para obtener:
D + D + 1 + 2*D + 2
(D + D + 2*D) + (1 + 2)
4*D + 3
Entonces la representación algebraica simpliicada de los kilómetros recorridos durante el entrenamiento es:
4*D + 3
Si quieres aprender más, puedes leer:
https://brainly.com/question/21513785
A roll of ribbon is 32 cm long. How many pieces 11 cm long can be cut from the roll?
Answers
The area of a rectangular swimming pool is 240 sq. ft. If the length of the swimming pool is 10 ft. and the width is x-2 ft., what is the value of x?
Answers
Answer:
x= 26
Step-by-step explanation:
area of rectangle = L×b
240 = 10(x-2)
240 = 10x - 20
240+20 =10x
260 =10x
260/10 = x
26 = x
:,x =26
The required value of x is 26
please mark me as branliest
Easy slope equation just don’t remember
Answers
-2,4)
4-3/ -2-0
1/-2
-2 is your slope
Hope this helps *smiles*
Find mZWVT.
T
U
7x +11)
V
(14x+7)
(3x + 4)º
W
A. 40
OB. 53
OC.50
OD. 45
Answers
Answer:
[tex]\huge\boxed{\sf <WVT = 40\°}[/tex]
Step-by-step explanation:
According to one of the tangent-secant theorems,
∠WVT = [tex]\frac{1}{2} (arc\ TW-arc\ UW)[/tex]
Given that:
∠WVT = (3x + 4)°
arc TW = (14x + 7)°
arc UW = (7x + 11)°
Solution:
3x + 4 = 1/2 (14x + 7 - (7x + 11))
3x + 4 = 1/2 (14x + 7 - 7x - 11)
3x + 4 = 1/2 ( 7x - 4 )
Multiply both sides by 2
2 ( 3x + 4 ) = 7x - 4
6x + 8 = 7x - 4
Combining like terms
7x - 6x = 8 + 4
x = 12
Finding ∠WVT:
∠WVT = (3x + 4)°
∠WVT = (3(12)+4)°
∠WVT = (36+4)°
∠WVT = 40°
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!Determine if the function is one-to-one. (2 points)
A decreasing line intercepting the y axis at 0, 6.
Yes
No
Answers
Answer:
yes
Step-by-step explanation:
Please mark me as brainlyest
A. 3
B. 0.667
C. 0.333
D. 6
Answers
Answer:
C. 0.333
Step-by-step explanation:
It is a ratio. For every 1 added to the x-value, 3 is added to the y-value. So therefore, the constant is 0.333
Answer:
A. 3
Hope this helps :)
Use the graph of f to find F(2).
A. 0.5
B. Does not exist
C. -8
D. -0.5
Answers
Hey there! Before we start with the problem, you mean f(2) instead of F(2) if I'm correct. In maths, variables are case-sentitive so F and f both are different.
First, f(2) means the value of y at x = 2.
f(2) is when we substitute x = 2 in and receive the output (y-value).
In coordinate plane, we have (x,y) as a point. What we have to do is to look at the graph, you will see the point that contains (2,-8)
That's it! Refer above, f(2) is when we substitute x = 2 and get y-value.
Hence, f(2) = -8
Let me know if you have any questions!
Topic: Function
If m<3 = 54°, find each measure.
Answers
m<1 = 36° (str. <s)
m<2 = 90°
m<4 = 36° (str. <s)
m<5 = 90° (vert. opp. <s)
m<6 = 54° (vert. opp. <s)
m<7 = 126° (str. <s)
m<8 = 54° (< sum of triangle)
m<9 = 126° (vert. opp. <s)
m<10 = 54° (vert. opp. <s)
m<11 = 36° (alt. <s)
m<12 = 144° (str. <s)
m<13 = 36° (vert. opp. <s)
m<14 = 144° (vert. opp. <s)
All of the factors and multiples of 21 and 48
Answers
Answer:
Factors:
21 : 1, 3, 7, 21
48: 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.
Multiples :
21 : 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252, 273, 294, 315, 336, 357, 378, 399, 420, 441, 462, 483, 504, 525, 546, 567, 588, ...
48 : 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816, 864, 912, 960, 1008, 1056, 1104, 1152, 1200, 1248, ...
help me please help pleaseeeeeeeeeeeee
Answers
Answer:
(8,3)
Step-by-step explanation:
Point c is seven units away from the line x = 1
So we move seven units to the right of the line x = 1
the x value = 8
y value = 3
Coordinates = (8,3)
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the 68th multiple of 89, if the 69th multiple is 6141.
Answers
Answer:
6141 - 89 = The 68th multiple (6052)
If value of a+b=7and ab=12then find the value of a and b
Answers
Answer:
a and b are 3 and 4
Step-by-step explanation:
To find the answer I go through all the two numbers that and multiply and gat 12:
1x12; 2x6; 3x4
And that add them:
1+12=13 x
2+6=8 x
3+4=7 this is the answer
Scott needs to mail a USB drive to a friend. He uses 41-cent stamps and 8-cent stamps to pay $1.87 in postage. How many of each stamp did scott use?
Answers
Answer:
4 41cent stamps would be $1.64/ 3- 8 cent stamps would be 23 cents/ $1.64 + 23= $1.87
Step-by-step explanation:
Which number line represents the solution set for the inequality 2x - 62 6(x-2) + 8?
Answers
Answer:
-15 -0.5 0 0.5 1 1.5 -1.5 -1 -0.5 0 0.5 1.5 -1.5 -1 -0.5 0 0.5 1.5 -1.5 -1.5 0 0.5 1 1.5
Step-by-step explanation:
E =mc^2 , solve for m
Answers
Answer:
[tex]e = m {c}^{2} \\ m = \frac{e}{ {c}^{2} } \\ thank \: you[/tex]
3.9015 to the nearest thousandth
Answers
Answer:
3.902.
Step-by-step explanation:
3. 9015:
The 10 thousandth digit is 5 so you round up the 1 to 2.
Two cars, 360 kilometers apart, begin driving toward each other on a long, straight highway. One car travels 80 km per hour and the other 100 km per hour. At the same time, a canary, starting on one car, flies back and forth between two cars as they approach each other. If the canary flies 120 km per hour and spends no time to turn around at each car, how far has it flown when the cars collide?
Answers
30, 32, and 34 Please! I WILL GIVE BRAINLIEST
Answers
Answer:
see explanation
Step-by-step explanation:
Since AL bisects ∠ KAT then ∠ 1 = ∠ 2
(30)
7x + 3 = 6x + 7 ( subtract 6x from both sides )
x + 3 = 7 ( subtract 3 from both sides )
x = 4
(32)
SAT is a straight line , then
∠ 1 + ∠ 2 + ∠ 3 = 180° , then
x + x + 4x = 180
6x = 180 ( divide both sides by 6 )
x = 30
(34)
Similar to (32)
x + 12 + x + 12 + 6x - 20 = 180 , that is
8x + 4 = 180 ( subtract 4 from both sides )
8x = 176 ( divide both sides by 8 )
x = 22
Answer:
30) x= 4
32) x=30
33) x=22
Step-by-step explanation:
All step by step explainations are in pic below
(x+5y =14
(2x – 3y=-11)
Answers
Answer:
x= -1 , y=3
Step-by-step explanation:
x= -1 , y=3, i just found x and y because you didnt tell anything
factorise pls explain me i will make u brainlinst
Answers
Answer:
4(5x _ 2y ) ^
Step-by-step explanation:
It is above in a photo .