-14 is the Determinant of given matrices A.
What is the determinant?A scalar value connected to the square matrix is known as the determinant. If X is a matrix, then |X| or Det is used to indicate the matrix's determinant (X).
Given a Mtrix A:
3 1
11 -1
The formula for the determinant of a matrix:
The determinant of a 2x2 matrix A = [ a b c d ] is |A| = ad - bc. It is simply obtained by cross-multiplying the elements starting from the top left and then subtracting the products.
In our case,
Determinants of A = (3 * -1 ) - (1 * 11)
Determinants of A = -3 -11
Determinants of A = -14
Therefore, the Determinant of given matrices A is -14.
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Complete question:
What is the determinant of
A= 3 1
11 -1
A rectangular garden is fenced on all sides with 262 feet of fencing. The garden is 9 feet longer than it is wide. Find the length and width of the garden.
9514 1404 393
Answer:
70 ft long61 ft wideStep-by-step explanation:
Let w represent the width of the garden. Then w+9 represents the length. The perimeter is given by the formula ...
P = 2(L+W)
Filling in the known information, we have ...
262 = 2((w+9) +w)
131 = 2w +9 . . . . . . . divide by 2
122 = 2w . . . . . . . . . subtract 9
61 = w . . . . . . . . . . . divide by 2 (width)
w+9 = 70 . . . . . . . . length
The length of the garden is 70 feet; the width is 61 feet.
Choose the expression that best represents the phrase below. The number of acorns split evenly among 5 squirrels
Answer:
Step-by-step explanation:
The correct answer is, "a divided by 5"
12% of 72 is what number
Answer:
8.64
Step-by-step explanation:
8.64
[tex]12\;percent\;of\;72=8.64[/tex]
Need help on angle measured geometry
A ballon is released from the top of a building. The graph shows the height of the balloon over time. What does the slope and y-intercept reveal about the situation?
this is an assignment for my son who is having trouble doing the steps to solve these math problems.
Answer:
B, C, B, A, B
Step-by-step explanation:
Recall soh cah toa
sin - > soh sin(ANGLE) = opposite/hypotenuse
cos -> cah cos(ANGLE) = adjacent/hypotenuse
tan -> toa tan(ANGLE) = opposite/adjacent
(letters correspond)
7) They ask for sinX, meaning we need to apply soh
sinX = opposite/hypotenuse
sinX = 30/34 = 15/17
B
8)
tan(ANGLE) = opposite/adjacent
tanZ = 12/35
C
9)
cos(ANGLE) = adjacent/hypotenuse
cosZ = 36/45 = 4/5
B
10 + 11 are attached. Hopefully, you understand. Have a nice day :)
HELP MEEEE
Solve 1.43p + 2.2 = -4.001. Round your answer to the nearest hundredth. Show your work.
Answer:
p = -4.33636363636
Step-by-step explanation:
subtract 2.2 from -4.001 which equals -4.001-2.2=-6.201 and divide -6.201 by 1.43p and that equals -4.33636363636 so p = -4.33636363636
PLEASE SOLVE! WILL GIVE BRAINLIEST FOR FIRST RIGHT ANSWER (WITH EXPLANATION, NOT WITHOUT). *Explanation doesn't need to be big.
In the figure it is impossible to measure segment AB. So point C is drawn, forming ∆ABC, where sides AC and BC can be measured. Segments AC and BC are extended, resulting in segments AD and BE, where C is the midpoint of both. Prove ED is congruent to AB.
△ABC≅△___ by reason _____ (AAA, ASA/SAA, Cannot Be Determined, SAS, SSS)
Answer:
Step-by-step explanation:
From the given picture,
AD and BE are the lines intersecting at a point C.
Point C is the midpoint of these lines.
From ΔABC and ΔDEC,
AC ≅ CD
CE ≅ CB
And ∠ABC ≅ ∠DEC [Vertical angles]
Therefore, ΔABC ≅ ΔDEC [By SAS property of congruence]
And AB ≅ ED [Since, ΔABC ≅ ΔDEC]
An airplane pilot over the Pacific sights a ship wreck at an angle of depression of 5°. At this time, the horizontal distance from the airplane to the wreck is 4629 meters. What is the height of the plane to the nearest meter?
405 m
Answer:
The height of the plane is 405 meters
Step-by-step explanation:
Trigonometric Ratios
The situation can be represented as shown in the image below. The ground, the height H, and the direct distance to the plane to the shipwreck form a right triangle, where the trigonometric ratios stand.
Since the known distance is adjacent to the angle, and the required height is opposite to the given angle, we use the tangent ratio, defined as:
[tex]\displaystyle \tan\ x=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
[tex]\displaystyle \tan 5^\circ=\frac{H}{4629}[/tex]
We need to find H, so we solve for H:
[tex]H=4629\cdot\tan5^\circ[/tex]
H=405 m
The height of the plane is 405 meters
A state makes license plates with five letters followed by one number with no repetitions of the letters permitted. How many different possibilities are there
Answer:
78936000 possible selections
Step-by-step explanation:
Given
Letters = 5
Digits = 1
Required
Possible number of selection.
Since the letters can't be repeated and there are 26 alphabets.
The first letter can be any of 26
The second = 25
The third = 24
The fourth = 23
The fifth = 22
The digit can be any of 0 - 9 (10 digits).
So.
The possible number of selection is.
Number = 26 * 25 * 24 * 23 * 22 * 10
Number = 78936000
If f(x) = (1\7)(7x), what is f(3)?
Answer:
3
All the steps are in the picture below.
Some car jacks are constructed like a collapsed rhombus. When used to raise a​ car, the rhombus is easily seen. If the sides of the rhombus are 15​", what is the maximum length of the​ shaft?
Complete question is;
Some car jacks are constructed like a collapsed rhombus. When used to raise a car, the rhombus is easily seen. If the sides of the rhombus are 15 inches, what is the maximum length of the shaft?
Answer:
Maximum length of shaft = 30 inches
Step-by-step explanation:
To understand this clearly, I've attached a real life image of a car jack that's in the shape of a rhombus.
From the attached image, we can see that it has four sides which are equal in length.
Now, if this jack is collapsed, the shaft will just be like a straight line with a maximum length equal to twice a side of the rhombus which represents the maximum length of the diagonal.
Since we are told that one side of the rhombus is 15 inches, it means that the maximum length of shaft = 2 × 15 = 30 inches
Write the equation of a line in point Slope form that passes through the points (-8,-3) and (2,2)
Answer:
The midpoint of the points (2,8) and (0,4) is given by:
(
2
x
1
+x
2
,
2
y
1
+y
2
)=(
2
2+0
,
2
8+4
)=(
2
2
,
2
12
)=(1,6)
We must must transform the standard form equation −3x+6y=5 into a slope-intercept form equation (y=mx+b) to find its slope.
−3x+6y=5 (Subtract 3x on both sides.)
6y=3x+5 (Divide both sides by 6.)
y=
6
3
x+
6
5
y=
2
1
x+
6
5
The slope of our first line is equal to
2
1
. Perpendicular lines have negative reciprocal slopes, so if the slope of one is x, the slope of the other is
x
1
.
The negative reciprocal of
2
1
is equal to −2, therefore, −2 is the slope of our line.
Since the equation of line passing through the midpoint (1,6), therefore, substitute the given point in the equation y=−2x+b:
6=(−2×1)+b
6=−2+b
b=6+2=8
Substitute this value for b in the equation y=−2x+b:
y=−2x+8
Hence, the equation of the line is y=−2x+8.
Step-by-step explanation:
make me as brain liest
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Answer:
A. 7^4
Step-by-step explanation:
When dividing exponents or monomial, you just basically subtract the exponents to get your answer.
Answer:
i think the answer is B, [tex]7^{12}[/tex]
Step-by-step explanation:
sorry if wrong, Hope it helps!
What is the slope of (-7,-1) and (3,8)? Pls show your work
Answer:
[tex]m=\frac{9}{10}[/tex]
Step-by-step explanation:
To find the slope between any two points, we can use the following slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (-7, -1) be (x₁, y₁) and let (3, 8) be (x₂, y₂). Substitute them into the slope formula:
[tex]m=\frac{8-(-1)}{3-(-7)}[/tex]
Evaluate:
[tex]m=\frac{9}{10}[/tex]
Therefore, the slope between the two points is 9/10.
What is (7x1)+(4x1/10)+(6x1/1000) written as a decimal in standard form?
Answer:
7.406
Step-by-step explanation:
It is 7.406 because 7x1 is 7, 4/10 is 0.4, and 6/1000 is 0.006. If you add those together, you will get 7.406.
7.406 is the decimal form
What is decimal in numeral system ?
The decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral system. The way of denoting numbers in the decimal system is often referred to as decimal notation. A formal way to read decimals is to read the whole part as a whole number, then the decimal dot as “and” and then reading the fractional part altogether but using the place value of the last digit with it.
= (7x1)+(4x1/10)+(6x1/1000)
= 7 + 0.4 + 0.006
= 7.406
therefore , the decimal form of the expression is 7.406
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the decimal equivalent 3/5 is a repeating decimal true or false?
Answer: false
Step-by-step explanation:
3/5 in a decimal is 0.6. overall 0.6 is not an repeating decimal.
True, the decimal equivalent of 3/5 is a repeating decimal.
We have,
The concept used to determine whether the decimal equivalent of 3/5 is a repeating decimal is the division of the numerator (3) by the denominator (5) to obtain the decimal representation.
When we divide 3 by 5, we get a decimal value of 0.6. However, since the division does not terminate or end, and the digit 6 repeats indefinitely, we conclude that it is a repeating decimal.
This concept involves understanding the nature of the decimal representation and recognizing repeating patterns.
Thus,
True, the decimal equivalent of 3/5 is a repeating decimal.
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Which set of ordered pairs represents a function?
o{(1,3) (2,5) (4,9) (4, 13)}
o{(1,3) (1,5) (4, 9) (6,3)}
o {(1, 3) (2,5) (2, 9) (6, 13)}
O {(1,3) (2,5) (4, 9) (6,5)}
Answer:
The answer is D
Step-by-step explanation:
What is the greatest common factor of 22 and 11?
Answer:
ur answer is 11 hopefully that's help
find two possible factors for the estimated product 5,600
Answer:
If you want to find the other factor you would divide 5,600. One factor is 80 so the other factor should be 70 but if you put a dot you would get 0.07.
Step-by-step explanation:
Factorise fully
-12a - 16
please do quick, first to answer marked brainiest!!
Answer:
-4( 3a+4)
Step-by-step explanation:
-12a - 16
-4*3a -4*4
Factor out a -4
-4( 3a+4)
There are 27 students in a class one third of the students are boys how many students are girls
Answer:
18 students are girls.
Step-by-step explanation:
Answer: The answer would be 18 girl students
Step-by-step explanation:
If one 3rd of the students are boys, divide 27 by 3 and you get 9, 9 times 2 equals 18, the other nine students are the boys, while there are 18 girls.
Your brother asked you to help him build a bookcase for your next-door neighbor. Since he is doing most of the work, you get 3 dollars for every 5 dollars he makes. He got paid 67 dollars. How much did you get paid?
Answer:
So, friend Let me solve the question for you :
let's use disturbutive property
67 x 5 - 67 × 3
67 × (5-3)
67 ×2 = 134
Step-by-step explanation:
Hope it. helps PISas Markbrainliest
Answer:
You got paid $40.20
Step-by-step explanation:
First let's find out how many 5's they gave him:
$67 (brother's money) ÷ 5 = 13.4 (how many times they paid him)
Now we find out how much money they gave you:
$3 (how much they give you) x 13.4 = $40.20 (your total money)
whats heavier a pound of cotton or a pound of stone
Answer:
None
Step-by-step explanation:
Both a pound
Answer:
Same weight
Step-by-step explanation:
There is a pound of each so they weight the same :)
Please help thank you
Answer:
1/144
Step-by-step explanation:
You multiply the top and bottom by itself because its to the second and you get rid of the negative because negative multiplied by a negative is positive
Which activity would Descartes most likely have enjoyed in his free time? (straight up)
Answer:
Buns VI jdgsjs ssndbssbhejdjeejsgejeoe
Step-by-step explanation:
Bdnee Ded modi’s no rhenxns hi s in dndn
Answer:
Rene Descartes was a philosopher and he loved math and science. He was French.
Step-by-step explanation:
a package of 4 pairs of isulated gloves costs $33.96. what is the unit price of gloves
Answer:
8.49 per pair/pack of gloves
Step-by-step explanation:
i got this by taking 33.96 divided by 4 so i could find out how much for one pair
PLEASE HELP!!
WILL GIVE BRAINLIEST TO CORRECT ANSWER (STEPS INCLUDED..)
The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the Equation Editor. If such a symbol is needed, type "RightArrow." For example: P(0, 0) RightArrow P′(1, 2).
Triangle ABC has coordinates A(1, 4); B(3, -2); and C(4, 2). Find the coordinates of the image A'B'C' after a reflection over the x axis.
When translated over the x axis, the x values remain the same and the y values become the opposite sign ( a negative becomes a positive and a positive becomes a negative)
A( 1,4) becomes A’(1,-4)
B(3,-2) becomes B’(3,2)
C(4,2) becomes C’(4,-2)
Does anyone know what the slope equation is for this graph. PLz explain if you can. Ty!
In decimal form, this is y = -1.5x+3
=========================================
Explanation:
Start at (0,3). Move three units down and two units to the right to get to (2,0)
slope = rise/run
slope = -3/2
rise = -3 = go 3 units down
run = 2 = go 2 units to the right
--------------------------
We could use the two points (0,3) and (2,0) in the slope formula below
m = (y2-y1)/(x2-x1)
m = (0-3)/(2-0)
m = -3/2
So this is another way to see the slope is -3/2
--------------------------
The y intercept is where the graph crosses the vertical y axis. In this case, it's at 3. So b = 3
Using m = -3/2 and b = 3, we go from y = mx+b to y = (-3/2)x+3 which is equivalent to y = -1.5x+3
Answer:
[tex]y=-\frac{3}{2} x+3[/tex]
Step-by-step explanation:
I don't really know how to explain this, but I hope the graph helps some.
I hope this helps you! (✿◕‿◕✿)
Which measure is equivalent to 126 in.?
1 ft = 12 in.
1 yd = 3 ft
Answer:
3.5 yd is your answer
Step-by-step explanation:
First, change in. to ft. Note that the measurement given to you is that 1 ft = 12 in.
Divide the amount of inches you have with 12.
126/12 = 10.5
Next, solve for yards. It is given to you that 1 yard = 3 feet.
Divide the amount of feet you have with 3.
10.5/3 = 3.5
3.5 yd is your answer