Answer:
[tex]\left[\begin{array}{ccc}1&0\\0&4\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}x\\y\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}5\\3\end{array}\right][/tex]
Step-by-step explanation:
A matrix is an algorithm that has many applications. It is composed of a series of numbers (typically coefficients of variables) organized in a pattern. When dealing with a matrix, one must always remember the rule (rows by columns). One such application is that a matrix can facilitate the process by which one solves a system of equations.
When given the following system:
y = 5
4x = 3
One can see that not all of the equations have all variables in them. Yet, bear in mind that any number times zero is zero, therefore, one can rewrite the equation such that it has all of the variables if one ensures that the coefficient of the missing variable is (0).
y + 0x = 5
0y + 4x = 3
Now organize this in the form of a matrix, the coefficients of the variable go in a (4 x 4) since there are now (4) elements. The variables are vertically arranged in a (2 x 1), and the equation results are also vertically arranged in a (2 x 1).
[tex]\left[\begin{array}{ccc}1&0\\0&4\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}x\\y\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}5\\3\end{array}\right][/tex]
a tennis ball is hit with a vertical velocity of 40ft/s from an initial height of 7ft. In how many seconds will the ball hit the ground? Round your answer to the nearest tenth, if necessary. PLEASE SHOW ANY WORK IF POSSIBLE!!!!! THANK YOU SO MUCH TO WHOEVER ANSWERS THIS!!!!
Answer:
friend me on here and imma send you the link Step-by-step explanation:
A store has shirts on display. Seven of the shirts are red. There are 5 more blue shirts than green shirts. There are 2 fewer yellow shirts than green shirts. If there are 28 shirts in all, how many shirts are there of each color? Ask for details Follow Report
Answer:
7 red shirts
6 green shirts
11 blue shirts
4 yellow shirts
Step-by-step explanation:
Let y represent the number of green shirts.
So y+5 is the number of blue shirts.
And y-2 is the number of yellow shirts.
And we have 5 red shirts.
Therefore,
7+5+y+y-2+y=28
12-2+3y=28
10+3y=28
3y=28-10
3y=18,divde through by 3
y=6
HELP ME WITH THIS PLEASE!! #∆# ~∆~
Find the RATIO and the EXACT VALUE of the given Cot B.
Answer:
Step-by-step explanation:
take angle B as reference angle
using cot rule
cot B=adjacent/opposite
cot B=5/12
cot B=0.41
B=cot 67.5
B=67.5 degree
for ratio,
cot B=5/12
if 20 men can finish a piece of work in 30 days how many additional numbers of mains will be employed to finish the work in 24 days
Answer:
Step-by-step explanation:
no of days no of men
30 20
24 20
30/24=x/20
24 x=30*20
24x=600
x=600/24
x=25
therefore 5 more men are needed to complete the work in 24 days
How many triangles can a heptagon be divided into?
3
4
6
5
Answer:
5
Step-by-step explanation:
3(2 + 4) = (3•2)+(3•4) is an
example of which property?
Answer:
Distributive Property
Step-by-step explanation:
What is 99,900 rounded to the nearest ten thousand
Answer:
100,000
Step-by-step explanation:
Because the 9 thousand is more than 5.
Describe the steps you would take to sketch the graph p(x)=2x^(3)+7x^(2)-3x-18
Answer:
When we have a given function, y = f(x), the general way of graphing the function is finding a lot of coordinate pairs (x, f(x)) and graphing them in a coordinate axis, and then connect them.
So here we have:
p(x) = 2x^(3)+7x^(2)-3x-18
Just let's find the value of p(x) for different values of x, and let's do it.
p(0) = 2*0^(3)+7*0^(2)-3*0-18 = -18
Then the point (0, -18) belongs to the graph
p(1) = 2*1^(3)+7*1^(2)-3*1-18 = 2 + 7 - 3 - 18 = -12
then the point (1, - 12) belongs to the graph.
p(-1) = 2*(-1)^(3)+7*(-1)^(2)-3*(-1)-18 = -2 + 7 + 3 - 18 = -10
then the point (-1, -10) belongs to the graph:
p(2) = 2*2^(3)+7*2^(2)-3*2-18 = 16 + 28 - 6 - 18 = 20
Then the point (2, 20) belongs to the graph
p(-2) = 2*(-2)^(3)+7*(-2)^(2)-3*(-2)-18 = -16 + 28 + 6 - 18 = 0
Then the point (-2, 0) belongs to the graph.
p(-3) = 2*(-3)^(3)+7*(-3)^(2)-3*(-3)-18 = -54 + 63 + 9 - 18 = 0
Then the point (-3, 0) belongs to the graph.
Now that we have 6 points we can graph them and try to connect them.
We also know that this is a cubic polynomial, so we can expect that it changes its direction two times (no more than that) then knowing that we can estimate a shape for the graph, and you will obtain something like the graph of the image below, where I just connected the known points.
Which fraction is the closest estimate to √10
1. 2 1/2
2. 3 1/5
3. 3
4. ⅒
Answer:
Step-by-step explanation:
(√10)²=10
1. (2 1/2)²=(5/2)²=25/4=6.25
2. (3 1/5)²=(16/5)²=256/25=10.24
3. 3²=9
4. (1/10)²=1/100=0.01
we see 10.24 is near to 10
so 3 1/5 is closest.
You're picking out water balloons. There are 333 colors and 222 sizes.
If you randomly pick the color and size, which of these tables lists all possible outcomes? (Each row represents one outcome.)
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
Table A
(Choice B)
B
Table B
Table A:
Color Size
Green Large
Green Small
Orange Large
Orange Small
Yellow Large
Yellow Small
Table B:
Color Size
Green Large
Orange Large
Yellow Large
Green Small
Orange Small
Yellow Small
Answer:
Select both Table A and Table B
Step-by-step explanation:
Both Tables show all 3 colors and 2 possible sizes
For proof here is a screenshot of the answer being correct:
20.3/3.5*0.58 in a standard form
Answer: 3.364
Step-by-step explanation: ?????
Find the product of 403 and 89.
[tex]35,867[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]403 \times 89 \\ = 35,867[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Answer:
35867 is the product of 409 and 89. At least I think so.
Step-by-step explanation:
what is law of sines
Answer:
In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of a triangle to the sines of its angles
The Law of Sines (or Sine Rule) is very useful for solving triangles:
a/sin A=b/sin B=c/sin C
hope this helps
have a good day :)
Step-by-step explanation:
please help me with the step by step
Answer:
stay safe healthy and happy....Step-by-step explanation:
This is the correct answer
6 + (8 x 3) - 9 Enter the value
Answer:
Hello, so the answer is 21.
Step-by-step explanation:
Okay so first we want to do it order, so the order you do it in is the order of PEMDAS which stands for Parentheses, Exponents, Multiplication, Division , Addition and Subtraction.
So in this situation we have parenthesis, multiplication, subtraction and addition, so we start with the parenthesis, (8 x 3) which is 24. So then we move on to +6 (positive six) and -9 (negative 9) basically -9 minus 6 is -3.
Sooo now we have -3 and 24. The three is negative because -9 minus 6 is -3, and you have to put the sign of the bigger number.
Now, 24 minus 3 equals 21. So there we have it :)
Hope I helped!
What angle is this?
-Complementary
-Supplementary
-Vertical
-Adjacent
Answer:
Adjacent
Step-by-step explanation:
Since angle a and b are right next to each other, they would be adjacent.
What is the approximate area of a circle with a diameter of 10 in?
A. 314 in2
B. 78.5 in2
C. 31.4 in2
D. 15.7 in2
Answer:
Hello! answer: 78.5 in2
Step-by-step explanation:
IMPORTANT ATTENTION: Im using 3.14 for pi so answers might vary if you are using say 22/7 for pi so please know that since this problem doesn't tell to use a certain method I will use 3.14
area can be found by doing radius × radius × 3.14 so... diameter is just twice the radius so... 10 ÷ 2 = 5 5 × 5 = 25
25 × 3.14 = 78.5 therefore 78.5 is the answer HOPE THAT HELPS!
The approximate area of a circle with a diameter of 10 in is,
⇒ Area of circle = 78.5 in²
Given that;
Diameter of circle = 10 in.
Now, We know that;
⇒ Area of circle = πr²
Where, 'r' is radius of circle.
Here, Diameter of circle = 10 in.
Hence, Radius = 10 / 2 = 5 in
Thus, We get;
⇒ Area of circle = πr²
⇒ Area of circle = 3.14 x (5)²
⇒ Area of circle = 78.5 in²
Thus, The approximate area of a circle with a diameter of 10 in is,
⇒ Area of circle = 78.5 in²
Learn more about the circle visit:
https://brainly.com/question/24810873
#SPJ7
What is the area in square centimeters of the triangle below?
Answer:
45cm2
Step-by-step explanation:
10x7(base x height)=70
70/2=45
Find the length of the arc.
Answer:
1st option
Step-by-step explanation:
The length of the arc is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{210}{360}[/tex]
= 2π × 13 × [tex]\frac{21}{36}[/tex]
= 26π × [tex]\frac{7}{12}[/tex]
= [tex]\frac{26\pi (7)}{12}[/tex]
= [tex]\frac{182\pi }{12}[/tex]
= [tex]\frac{91\pi }{6}[/tex]
Find the volume of the given figure.
5
9
8
Answer:
179.996
Step-by-step explanation:
Drag each length to match it to an equivalent length. 2 yards 5 inches returned to choices list. 2 feet 8 inches4 yards9 feet2 yards 5 inches Length Equivalent Length 32 inches 77 inches 144 inches 3 yards
Answer:
2 yards 5 inches will be equivalent to 77 inches
Step-by-step explanation:
Given length -
2 yards 5 inches
One yard has 36 inches
Two yards will have 2*36 = 72 inches
Thus, 2 yards 5 inches will sum up to 72 inches + 5 inches = 77 inches
Hence, 2 yards 5 inches will be equivalent to 77 inches
Answer:
3 yards = 9 feet
77 inches = 2 yards 5 inches
48 inches = 1 yard 1 foot
32 inches = 2 feet 8 inches
I hope this helped!! <3
Simplify the following polynomial and write the answer in standard form
Answer:
D
Step-by-step explanation:
We have to added up the like therms (the therms with the same literal parts)
x^2 + 2x^2 = 3x^2
3x - 4x = -x
2 + 1 = 3
3x^2 - x + 3
Answer:
D
Step-by-step explanation:
Edge 2022
Someone help me please want asap
Answer:
C
Step-by-step explanation:
Trust me bro.
Okay so i Need help
Factor to write an equivalent expression.(What is the Greatest Common Factor?).
−9x+15y
Answer:
GCF is 3
Step-by-step explanation:
Given the expression -9x + 15y
First, we need to find ther individual factors
-9x = -3 *3 * x
15y = 3 * 5 * y
Since 3 is common to both factors
−9x+15y = 3(-3x+5y)
Hence the GCF is 3
Can you help me with this
Answer:
3 and 4
Step-by-step explanation:
What is the answer of this
Please help and quick !
Answer:
x =answer is 800 m so good luck
Answer:
x=800
Step-by-step explanation:
I think. Not sure.
In the circle above, DE = 2, CE = 6, and BE = 3.
What is the measure of EA?
A) 2
B) 3
C) 6
D) 4
Answer: The correct option is (D) 4.
Step-by-step explanation:
According to the intersecting chords theorem, if two chords intersect in a circle then the products of the length of the chord segment are equal.
Given:
DE = 2
CE = 6
BE = 3
Now calculating the the value of EA.
As per theorem:
[tex]DE\times CE=BE\times EA[/tex]
Now putting the all the given values in this expression, we get:
[tex]2\times 6=3\times EA\\\\EA=4[/tex]
Therefore, the measure of EA is 4.
Select all the expressions which are equivalent to –43
4
3
p – 25
2
5
.
–43
4
3
p + 25
2
5
–25
2
5
– 43
4
3
p
43
4
3
p – 25
2
5
–43
4
3
p + (–25
2
5
)
25
2
5
+ 43
4
3
p
Answer:
–43p + (–25) is Equivalent to –43p – 25.
Step-by-step explanation:
Needed: 25 – 43p , 25 – 4 , p 3. –25p –43 , –43p + (–25)