Answers
)
2) So, let's begin with the lower-left product of matrices:
[tex]\begin{gathered} \begin{pmatrix}-2 & 12 \\ -1 & -3\end{pmatrix}\times\begin{pmatrix}2 & 1 \\ 4 & 2\end{pmatrix}= \\ \begin{pmatrix}\left(-2\right)\cdot \:2+12\cdot \:4&\left(-2\right)\cdot \:1+12\cdot \:2\\ \left(-1\right)\cdot \:2+\left(-3\right)\cdot \:4&\left(-1\right)\cdot \:1+\left(-3\right)\cdot \:2\end{pmatrix} \\ \begin{pmatrix}44&22\\ -14&-7\end{pmatrix} \end{gathered}[/tex]Now for the next pair of matrices in the middle:
[tex]\begin{gathered} \begin{pmatrix}2 & 0 \\ 1 & 0\end{pmatrix}\times\begin{pmatrix}3 & -1 \\ 2 & 2\end{pmatrix}= \\ \begin{pmatrix}2\cdot \:3+0\cdot \:2&2\left(-1\right)+0\cdot \:2\\ 1\cdot \:3+0\cdot \:2&1\cdot \left(-1\right)+0\cdot \:2\end{pmatrix} \\ \begin{pmatrix}6&-2\\ 3&-1\end{pmatrix} \end{gathered}[/tex]Notice that each row is multiplied by each correspondent column.
And finally, the pair on the lower-right:
[tex]\begin{gathered} \begin{pmatrix}5&-2\\ \:\:\:4\:&-3\end{pmatrix}\times \begin{pmatrix}2&-1\\ \:\:3&1\end{pmatrix} \\ \begin{pmatrix}5\cdot \:2+\left(-2\right)\cdot \:3&5\left(-1\right)+\left(-2\right)\cdot \:1\\ 4\cdot \:2+\left(-3\right)\cdot \:3&4\left(-1\right)+\left(-3\right)\cdot \:1\end{pmatrix} \\ \begin{pmatrix}4&-7\\ -1&-7\end{pmatrix} \end{gathered}[/tex]) Thus, the se are theanswers .
Related Questions
Find the slope of the line that passes through ( 2 , 7 ) and ( – 4 , 19 ) .
Answers
Answer:
-2
Step-by-step explanation:
slope form: y2-y1/x2-x1
points: x1, y1 (2,7) and x2,y2 (-4,19)
substitute the points into the form: 19-7/-4-2
simplify: 12/-6 = -2
FIND THE DOMAIN AND RANGE(Algebra 1)
Answers
The domain and range of the function are {-4, -2, 0, 4} and {-3, -1, 0, 1} respectively.
Domain and range of an equationThe domain of the function is defined as the value of the independent function for which the function exist.
The range of the function is defined as the value of the dependent function for which the function exist.
From the given table, the domain are the values in the x-column which the range in the y-column are the values in the y-axis.
From the table, the domain are D = {-4, -2, 0, 4} while the range is R = {-3, -1, 0, 1}.
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A basketball backboard said that sold for $79 is discounted 15% what is the sale price?
Answers
Answer: 67.15
Step-by-step explanation:
A design engineer is mapping out a new neighborhood with parallel streets. If one street passes through (4, 5) and (3, 2), what is the equation for a pa
passes through (2, -3)?
Oy = 3x + 11
Oy=3x-9
Oy=-3x+1
Oy=-x-3
Answers
The equation of the line parallel to the first line is y = 3 · x - 9.
(Correct option: B)
Given,
A design engineer is mapping out a new neighborhood with parallel streets. If one street passes through (4, 5) and (3, 2)
To find the equation for a passes through (2, -3).
How to determine an equation of the line parallel to another line
In this question we must derive the equation of the line for a given street and look for another equation of the line parallel to the previous one. Lines are first order polynomials of the form y = m · x + b, where m and b are the slope and the y-intercept, respectively.
Now, According to the question:
Now we present the procedure in detail. First, find the equation of the first line:
5 = 4 · m₁ + b₁ (1)
2 = 3 · m₁ + b₁ (2)
(m₁, b₁) = (3, - 7)
Second, determine the equation of the line parallel to the line found in the previous step: (Please notice that two lines are parallel to each other when they share the same slope but have different y-intercepts)
-3 = 3 · 2 + b₂
b₂ = -3 - 6
b₂ = - 9
Hence, The equation of the line parallel to the first line is y = 3 · x - 9.
(Correct option: B)
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ill give brainly HURRY PLEASE
Answers
Logan is filling up his car with gas at the local station if gas cost 3.29$ per gallon and he fills up his tank with 12.6 gallons then how much will Logan be charged round your answer to the nearest penny
Answers
Answer:
$41.50
Step-by-step explanation:
$3.29 per gallon of gas
12.6 gallons of gas
12.6 * 3.29 = 41.45400 ≈ 41.50
he will be charged $41.50
connect the term to the right word
Answers
Answer: Point: a zero dimentional object
Ray: a half line
One dimentional figure: a line
Line segment: a finite section of line
Plane: a 2 dimentional figure
Step-by-step explanation:
-what is 1 3/5 X -5 1/2
Answers
Answer:
-44/5 (in decimal -8.8)
Brian cut 4 1/12 yards of fishing line from a new reel. How much is this in inches? Write your answer as a whole number or a mixed number in simplest form.Include the correct unit in your answer.
Answers
Given: Brian cut
[tex]4\frac{1}{12}\text{ yards}[/tex]of fishing line from a new reel.
Required: To find how much Brian cut in inches.
Explanation: Since 1 yard is equivalent to 36 inches. Hence we need to multiply by 36 to convert yards to inches.
Hence Brian cut-
[tex]\begin{gathered} 4\frac{1}{12}\times36=\frac{49}{12}\times36 \\ =147\text{ inches} \end{gathered}[/tex]Final Answer: Brian cut 147 inches of fishing line from a new reel.
The x- and y- axes of the coordinate plane form four right angles. The interior of each of the right angles is a quadrant of the coordinate plane. What is the equation for the line that contains the angle bisector of Quadrants 1 and 3?
Answers
ANSWER:
y = x
XPLANATION:
To find the equation for the line that contains the angle bisector of Quadrants 1 and 3 we have:
The equation is:
y = x
The hypotenuse of a triangle is 13 long. The leg is 7 inches longer than the shorter leg. Find the side lengths of the triangle.
Answers
The function T(y) gives the end-of-year tablet sales, in thousands, at an electronics store y years after 2010 for-1 ≤ y ≤ 8. The table below represents the values of the function T(y).
-10
1 2 3 4 5 6 7 8
T(y) 17 19 25 42 78 93 108 116 130 125
y
Which statement is true?
A No tablets were sold in 2009
B
C
D
The number of tablets sold increased each year
More people used a tablet sold by the store in 2017 than they did in 2018.
The maximum number of tablet sales the store made occurred 7 years after 2010
D
Answers
The correct statement regarding the function on the table is given by:
D. The maximum number of tablet sales the store made occurred 7 years after 2010
What is the meaning of the function?The meaning of the function is that it gives the number of tablets sold, in thousands, in y years after 2010, hence the variables are given by:
y: number of years after 2010.T(y): number of tablets sold on the respective year.For example, T(-1) = 0 = 17 means that 17,000 were sold in the year of 2009.
There was a single decrease, from 2017 to 2018, that is, year 7 to year 8, hence statement B is false.
For item C, we have no information whether this number is true, hence the statement is false, as the function gives the number of tablets sold at the store, not the number of people using the tablets.
The true statement is given by option D, since f(7) = 130 is the maximum value of the function.
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A triangle is congruent to triangle b what sequence would transform triangle a to triangle b
Answers
To transform congruent triangle a to triangle b: vertical reflection, then horizontal reflection and then 90° counter clockwise direction.
What are congruent triangles?Congruent triangles are two triangles that are the same size and shape. Two congruent triangles remain congruent even if we flip, turn, or rotate one of them.
Triangles a and b are congruent to each other. So when we flip them the sequence which would transform triangle a to triangle b is vertical reflection, then horizontal reflection and then 90° counter clockwise direction.
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The mean of 4,x,5,6,1 is 5 find x
Answers
Answer:
x=9
Step-by-step explanation:
is the mean of 4, x, 5, 6, and 1 is 5, then 4+x+5+6+1=5*5=25, so 16+x=25,x=9
We can think of 3÷1/4 as the answer to the question " How many groups of 1/4 are in 3?" The tape diagram represents this situation. What is the answer to the question.A:12B:6C:9D:3
Answers
The length of the tape is 3 and it is divided into equal parts or groups. The length of each group is 1/4. This means that the number of groups in 3(the tape) would be
3÷1/4
We can hold 3 and flip the fraction, 1/4. If we flip 1/4, it becomes 4/1 and the division sign becomes multiplication. The expression would be
3 x 4/1 = 12
The correct option is A
2x + 3y = 7
-2x + 5y = 9
Answers
= 0-2y=-2
= -2y=-2 (then divide both sides by -2)
= y=2
Substitute your y value into one of the equations:
2x+3y=7
2x+3(2)=7
2x+6=7 (then subtract 6 from both sides)
2x=1 (then divide both sides by 2)
x=1/2 or 0.5
A window for a new house is shown. How many squares feet or glass does the window require? Enter your answer in the box
Answers
ANSWER
[tex]14.4ft^2[/tex]EXPLANATION
To find the number of square feet the window requires, we have to find the area of the shape.
The shape given is a kite, and the area of a kite is:
[tex]A=\frac{pq}{2}[/tex]where p and q are the diagonal lengths.
From the question given:
[tex]\begin{gathered} p=3.2+4 \\ p=7.2\text{ ft} \\ q=2+2 \\ q=4\text{ ft} \end{gathered}[/tex]Therefore, the area of the kite is:
[tex]\begin{gathered} A=\frac{7.2\cdot4}{2} \\ A=14.4ft^2 \end{gathered}[/tex]That is the number of square feet of glass that the window requires.
what is the answer to this please help 9/5 + 2 + 15/3
Answers
mixed number form: 8 4/5
explanation:
hope this helps !
Convert 5yd^2 to square centimeters
Answers
Since 1 yard = 0.914 meters
Since 1 m = 100 cm
Then 1 yard = 91.4 cm
Square them to find the square yard
[tex]\begin{gathered} (1)^2=1 \\ (91.4)^2=8353.96 \end{gathered}[/tex]1 square yard = 8353.96 square cm
Then to find 5 square yards in square cm, multiply 5 by 8353.96
[tex]5\times8353.96=41769.8[/tex]5 square yards = 41769.8 square cm
how to graph:-8x-y=8
Answers
In order to graph this equation, we first need to find two ordered pairs that are solution to this equation.
To do this, we can choose a value for x and calculate the corresponding value of y.
Choosing x = 0 and x = -1, we have:
[tex]\begin{gathered} x=0\colon \\ -8\cdot0-y=8 \\ 0-y=8 \\ y=-8 \\ \\ x=-1\colon \\ -8\cdot(-1)-y=8 \\ 8-y=8 \\ y=0 \end{gathered}[/tex]Now, graphing the points (0, -8) and (-1, 0) and the line that passes through them, we have:
So the blue line represents the graph of the equation given.
Find the derivative, ′, of = secx/e^x.Your final answer must be fully simplified
Answers
Park a cover 4,926 square kilometers. It is 1,845 square kilometers larger than park b. Park c is 4,006 square kilometers larger than park a. What is the are of all three parks
Answers
Park a cover 4,926 square kilometers, It is 1,845 square kilometers larger than than park b. Park c is 4,006 square kilometers larger than park a, the area of all three parks is 16939 [tex]km^{2}[/tex]
What is an area?Area is amount of space occupied by a two-dimensional figure. In other words, it is quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of the area is square units which is generally represented as square inches, square feet, etc.
Word 'area' means a vacant surface. The area of shape is calculated with the help of its length and width. Length is the unidimensional and measured in units such as feet (ft), yards (yd), inches (in), etc. However, area of a shape is a two-dimensional quantity. Hence, it is measured in the square units like square inches or ([tex]in^{2}[/tex]), square feet or ([tex]ft^{2}[/tex]), square yard or ([tex]yd^{2}[/tex]), etc. Most of the objects or the shapes have edges and corners. The length and width of these edges are considered while calculating area of a specific shape.
Since,
Park a= 4926 [tex]km^{2}[/tex]
Park b= (4926-1845) = 3081 [tex]km^{2}[/tex]
Park c= (4006+4926) = 8932 [tex]km^{2}[/tex]
The area of all the three parks = (4926+3081+ 8932) [tex]km^{2}[/tex] = 16939 [tex]km^{2}[/tex]
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What rule represents the translation from the pre image ABCD to the image A’ B’ C’ D’
Answers
Answer:
The second one
Step-by-step explanation:
PLEASE HELP ME PLS !!!!!!!!Connor has three number cards, as shown
below.
The minimum of the three cards is 6.
The range of the three cards is 7.
What is the mean of Connor's three cards?
Answers
Answer:
Mean of Connors 3 card is 9
Step-by-step explanation:
Solution
Minimum of 3cards is 6
range is 7
max -min=7
max=min+7
max=7+6
max=13
Mean=6+13+8/3=27/3=9
Answer:
Mean of Connors 3 card is 9
Step-by-step explanation:
Solution
Minimum of 3cards is 6
range is 7
max -min=7
max=min+7
max=7+6
max=13
Mean=6+13+8/3=27/3=9
Simplify (9-2/square root of 9)^-2 +(1-6)^2
Answers
The simplification of the number (9-2/square root of 9)⁻² +(1-6)² is found as 25.18.
What is defined as the simplification?Simplify simply signifies to make something easier to understand. Simply or simplification in mathematics refers to reducing an expression /fraction /problem to a simpler form. It simplifies the problem by calculating and solving it.
We can —
Simplify fractions by removing all common factors from the numerator and denominator and composing the fraction through its simplest form.By grouping as well as combining similar terms, you can simplify mathematical expressions. This makes this same expression simple to understand and solve.For the given question;
The expression is given as;
(9-2/square root of 9)⁻² +(1-6)²
This can be written as;
= [(9-2)/√9]⁻² + (1-6)²
Do the prime factorization of √9 = √3×3
= [(9-2)/√3×3]⁻² + (1-6)²
On solving;
= [7/3]⁻² + (-5)²
Taking the reciprocal of first term
= (3/7)² + (-5)²
= (0.42)² + (-5)²
Squaring the values;
= 0.18 + 25
= 25.18
Thus, the result after the simplification becomes 25.18.
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Find the value of x so that the line m is parallel to line n. Need answers
○ 35
○ 30
○ 40
○45
Answers
what is the, in units, between (-5,8) and (4,-4) in the coordinate plane
Answers
A rectangle is graphed on a coordinate plane. For two of the vertices of the rectangle are (-5,8) and (-5,-6) what is the distance between the two vertices
A 2units
B 4 units
C 10 units or
D 14 units
Find out the distance between the given vertices
we have that
the two coordinates have the same x-coordinate
that means
the distance between the points is the difference of the y-coordinates
8-(-6)=8+6=14 units
the answer is option DProblem N 2
we have that
between -1 and -2 there are 5 spaces
the value of each space is 1/5=0.20
therefore
point A is -1.60
option C
A dairy farm has a real estate tax rate of $57.26 per thousand dollars of assessed value. If the farm is assessed at $665,500.00 what is the real estate tax?
Answers
Answer:
the real estate 5726per thousand dollars
Step-by-step explanation:
A freight train travels 210 miles in the same amount of time a car travels 330 miles. If the rate of the car is 20 mph more than the rate of the train, find the rate of each.
Answers
Answer: the train is 230 and the car is 350
Step-by-step explanation: I think so im like 75% sure but that is still a risk so be carful
I need help with this!! every time i use the formula i’m always one off
Answers
By using the secant line formula, the average rate of change of function f(x) on the interval [3, 11] is equal to 4.
How to determine the average rate of change of a function
In accordance with the statement, we must determine the average rate of change for a given closed interval of the function f(x). Graphically speaking, the average rate of change for this interval is represented by the slope of the secant line passing through the two limits of the interval [a, b], which is found by secant line formula:
m = [f(b) - f(a)] / (b - a)
If we know that a = 3, f(a) = 19, b = 11 and f(b) = 51, then the average rate of change is:
m = (51 - 19) / (11 - 3)
m = 32 / 8
m = 4
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