Help! I'm a little stumped when it comes to variables in matrices. An explanation would be super rad!
What is the determinant of A = [ -2 2 b 0 3 a 0 0 -5 ]
Answers
Answer:
30
Step-by-step explanation:
To find the determinant of a 3x3 matrix, you can use this method. (See picture.)
Start with the first number in the top row, and block off the row and column. A 2x2 matrix will be left. Find the determinant of this 2x2 matrix, and multiply it by the number in the top row.
Repeat for the other two numbers in the top row. Add the first result, subtract the second, and add the third.
det A = -2 [(3)(-5) − (a)(0)] − 2 [(0)(-5) − (a)(0)] + b [(0)(0) − (3)(0)]
det A = -2 (3)(-5) − 0 + 0
det A = 30
Related Questions
What would the coordinates be if Figure A was dilated to three times the size and reflected across the y-axis?
A
(6, 18), (6, 3), and (18, 3)
B
(-6, 18), (-6, 3), and (-18, 3)
C
(-18, -6), (-3, -6), and (-3, -18)
D
(18, 6), (3, 6), and (3, 18)
Answers
Answer:B
Step-by-step explanation:
The new coordinates after dilation and the reflection across the y - axis will be (6, 3), (18, 3) and (6, 18).
What is dilation of a figure?
A dilation is a transformation that enlarges or reduces a figure in size.
Given is figure [A] as shown in the figure which is dilated three times the size and is reflected across the y-axis.
Given are the coordinates of the triangle as -
(-2, 1), (-6, 1) and (-2, 6)
When the image is dilated by K, then each coordinate will become -
(x, y) = (Kx, Ky)
Therefore, the new coordinates will be -
(-6, 3), (-18, 3) and (-6, 18)
Now, in reflection across the y - axis, the coordinates will become (-x, y) from the coordinates (x, y).
Therefore, the final coordinates will be -
(6, 3), (18, 3) and (6, 18)
Therefore, the new coordinates after dilation and the reflection across the y - axis will be (6, 3), (18, 3) and (6, 18).
To solve more questions on dilations, visit the link below-
https://brainly.com/question/20810552
#SPJ5
PLEASE HELP! (don't graph, give me the coordinates and i will graph myself)
Answers
Answer:X=3
y= -4
Step-by-step explanation:
If we're solving for x or y, then the intercept we're not solving for is equal to zero. Solving for y means x=0, solving for x means y=0.
so solving for x, 4x=12--> x=3, since y=0 in this scenario.
Solving for y, x=0, so -3y=12--> y=(-4)
9514 1404 393
Answer:
see below for a table
Step-by-step explanation:
You can easily identify intercept points by solving for one variable when the other is zero.
x-intercept (y=0)
4x = 12
x = 12/4 = 3
y-intercept (x=0)
-3y = 12
y = 12/-3 = -4
So, the coordinate pairs of these points are ...
(3, 0) and (0, -4)
__
If you solve for y, you get ...
-3y = 12 -4x
y = (4/3)x -4 . . . . . divide by -3
This suggests that x being a multiple of 3 will be useful for finding integer values of y.
We already have points for x=0 and x=3. We can add points for x=6 and x=-3.
y = 4/3(6) -4 = 4
y = 4/3(-3) -4 = -8
So, the additional points are ...
(6, 4) and (-3, -8)
Which expressions give the monthly pay of an employee with 33 hours of training
Answers
Answer:
A-33(PAY) OR 33(P)
B-33 x pay or 33 x p
C-hours(33)or H(33)
D-pay(33) or p(33)
its D is correct hope this helps
2 p
In a nursery, there are 5 adults and 14 children. Write the ratio of adults to
children in the form 1:n
*
can someone help me?
Answers
Answer:
5:14
Step-by-step explanation:
The ratio of adults to children using the form 1:n would look like this:
number of adults : number of children
So:
5 adults : 14 children = 5:14
Answer:
1 : 2.8
Step-by-step explanation:
in such a case what the question is asking you to is to compare the numbers and simplify them with the left hand number.
ratio of adult to children
write it as 5:14
put the 1 :n underneath
5 : 14 what we want to find is the n. among the 2 sides one is complete
1 : n only whole numbers. to get n look at the complete side . if
5:1 14=14 x 1 /5(cross multiplication). or you can
divide both sides by the left hand number(5)
5 and 14 = 1 : 2.8
5 5
the n is what we were trying to find and compare it to 1
this means for every 1 adult there are 2.8 children
Find the perimeter of the figure if the following is true:
A= x^2
B= 4x + 8
C= 2x^2
D= x
Answers
The perimeter of a figure is the distance around the outside of the figure. To find the perimeter of this figure, we need to add the lengths of all sides. This is:
P = A + B + C + D
P = x² + 4x + 8 + 2x² + x
P = 3x² + 5x + 8
The perimeter is 3x² + 5x + 8.
= x^2 + 4x + 8 + 2x^2 + x
= 3x^2 + 5x + 8
.:. The perimeter is 3x^2 + 5x + 8
- The perimeter is the sum of all angles.
FREEE POOOINTTTSSSS FORRRR ANNYYYOONNNEEE WHOOOO HELPSSSS MEEEEE PLZZZZ ASAP
Answers
Y = -49f
Z = -40f
Y is the coldest
X=-35c
Y=-49f
The bakers at healthy bakery can make 330 bagels in 5 hours. How many bagels can they bake in 13 hours? what was that rate per hour
Answers
The rate per hour is 66 bagels made in one hour
Which equation can be used to find the solution of (1/2)^2x=32
-2x=5
2x=5
1/2x=5
-1/2x=5
Answers
Answer:
-2x = 5Step-by-step explanation:
(1/2)^2x=322^(-2x) = 2^5-2x = 5Correct option is the first one
Which of these numbers is four less than a square number?
A 3
B 20
C 37
D 45
Answers
Answer:
D
Step-by-step explanation:
You first add 4 to all of the numbers giving you 7, 24, 41, and 49. Only choice D is a perfect square. for reference, 7*7=49
Answer:
45
Step-by-step explanation:
basically what we are trying to find is x + 4= square
for you to understand this better, take eg 5.
5 + 4 = 9
| \
four less than the square number( 9 is the square of 3)
we took the square of 3 and subtracted 4 from it making the result 4 less
12 + 4 = 16
| \
four less than the square number( 16 is the square of 4)
we took the square of 4 and subtracted 4 from it making the result 4 less
understanding that,
a)3
3 + 4 = 7
there is no square root of 7 X
b)20
20 + 4 = 24
there is no square root of 24 X
c)37
37 + 4 = 41
there is no square root of 41 X
d) 45
45 + 4 = 49
the square root of 49 = 7
answer=49
The average of 16 numbers is 70. If the average of 15 of these numbers is 17, then the 16th number is?
Answers
Answer:
865
Step-by-step explanation:
16*70=1120
15*17=255
1120-255=865
PLEASE HELP QUICK
If two angles form a linear pair, then they are adjacent and
O congruent
O supplementary
O complementary
O perpendicular
Answers
Answer:
Supplementary
Step-by-step explanation:
2 angles that form a linear pair (180°) is supplementary
Explanation: If two angles form a linear pair, the angles are supplementary. A linear pair forms a straight angle which contains 180º, so you have 2 angles whose measures add to 180, which means they are supplementary. If two congruent angles form a linear pair, the angles are right angles.
Please give me brainlisted
Sharon’s organization hopes to raise more
than $10,000 at their annual 5k race. what is the inequality?
Answers
Hope that helps!
Remember the sign opens to the bigger number and the line underneath is only when that value is included.
1 Subtracting Fractions
Find the sum of 5
7
and
10
1o
The expression written in equivalent form with common
denominators is
The sum is
Answers
Step-by-step explanation:
The question is not properly structured but we can as well find the sum of 5/7 and 10 as shown;
[tex]\frac{5}{7}+ \frac{10}{1} \\The \ LCM \ is \ 7\\\\= \frac{5(1)+10(7)}{7}\\\\= \frac{5+70}{7}\\\\= \frac{75}{7} \\\\= 10 \frac{5}{7}[/tex]
Hence the expression written in equivalent form of common denominator is [tex]\frac{5 + 70}{7}[/tex]
The sum is [tex]10 \frac{5}{7}[/tex]
Which algebraic expression means "four less than three times a number"
Answers
Answer:
3x-4
Step-by-step explanation:
"3 times a number" is 3x where x is the number
"Four less than" means we subtract four from 3x
Therefore, 3x-4 is the correct algebraic expression
A store sells toys in bulk. It sells wooden blocks for $5 a pound and plastic bricks for $10
a pound. How many pounds of wooden blocks and plastic bricks should be used to make a
10-pound mixture that would sell for $80?
Answers
Answer:
4 pounds of wooden blocks and 6 pounds of plastic bricks should be used.
Step-by-step explanation:
Let w = wooden block
Let p = plastic bricks
Given the following data;
Price of wooden block per pounds = $5
Price of plastic brick per pounds = $10
*Translating the word problem into an algebraic equation*
For the 10-pound mixture;
[tex] w + p = 10[/tex] .........equation 1
For the $80 mixture;
[tex] 5w + 10p = 80[/tex] ..........equation 2
Solving the linear equation by using the substitution method;
Making w the subject in equation 1:
[tex] w = 10 - p[/tex] .......equation 3
Substituting "w" into equation 2;
[tex] 5(10 - p) + 10p = 80 [/tex]
Simplifying the equation, we have;
[tex] 50 - 5p + 10p = 80 [/tex]
[tex] 50 + 5p = 80 [/tex]
Rearranging the equation, we have;
[tex] 5p = 80 - 50[/tex]
[tex] 5p = 30 [/tex]
[tex] p = \frac {30}{5} [/tex]
p = 6 pounds (For the plastic brick).
To find w;
Substituting "p" into equation 3;
[tex] w = 10 - 6[/tex]
w = 4 pounds (For the wooden block).
Pls help me plsss which story represents the graph below
Answers
Answer:
third answer: both of the above
Step-by-step explanation:
The graph shows a small increase, then the data stays the same, it declines, and then has a sharp increase. Both stories portray that.
Please help me.Huryyyy!!! Whoever answers first gets brainiest!!!
Answers
what do I need to answer?
Answer:
what do i answer lol
Step-by-step explanation:
Which expression is equivalent to 30 degrees? WILL DO BRAINLIEST
Options in picture below! Timed test, thanks for your help!
Answers
Answer:
It is the second one :D
Answer:
I think it’s C
Step-by-step explanation:
Solve
3+ (1/4)a = 31
Answers
Answer:
a=112
Step-by-step explanation:
3+(1/4)a=31
-3 -3
(1/4)a=28
*4 *4
(1)a=112
A constant function is a
function of the form
= b . The slope of a constant function is
Answers
Answer:
The slope of the constant function is 0
Step-by-step explanation:
The equation of the constant function is f(x) = b, where b is the y-interceptThe constant function is represented graphically by a horizontal line, the y-coordinates of all points lie on it is bThe slope of any horizontal line is 0 because the difference between the y-coordinates of any two points on the line is 0, then m = 0, so its equation is y = b∵ The equation of the constant function is in the form f(x) = b
∵ The equation of the horizontal line is y = b
∴ f(x) = y
∵ The slope of the horizontal line is 0
∴ The slope of the constant function is 0
We want to get the slope of a constant function, we will see that the slope is equal to zero.
Linear functions:
A general linear function is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
For the case of the constant function we have:
y = b
Notice that we can rewrite this as:
y = 0*x + b
Then is easy to see that the slope of the constant function is equal to 0.
If you want to learn more about linear functions, you can read:
https://brainly.com/question/14323743
help me pls i want to pass my math class
Answers
Answer:
d
Step-by-step explanation:
The function is nonlinear. Linear is a straigt line and this function has a curve. You can find that by thinking of the story or placing it on a graph.
Answer:
d
Step-by-step explanation:
the answer is non-linear because a linear function would only have the first part not 9x+4
Help please ASAP I don’t really understand it!!
Answers
The amount of Kelly’s paycheck varies directly with the number of hours she works. Kelly receives $133.25 for 13 hours of work.
(a) Write a direct variation equation that relates the amount of Kelly’s paycheck, p, to the number of hours, h, Kelly works.
(b) Use the equation to find the number of hours Kelly works when her paycheck is $246.
(c) Use the equation to find the amount of Kelly’s paycheck when she works 40 hours.
MUST SHOW ALL WORK WILL MARK BRAINLEST TO WHOEVER ANSWERS CORRECTLY
Answers
Answer:
A)
[tex]y=10.25x[/tex]
B)
24 hours
C)
$410
Step-by-step explanation:
We are given that Kelly’s paycheck varies directly with the number of hours she works.
We know that she received $133.25 for 13 hours of work.
Part A)
The standard form for the direct variation equation is:
[tex]y=kx[/tex]
Where k is the constant of variation.
Here, y is the paycheck amount and x is the number of hours Kelly worked.
We know that Kelly received $133.25 for 13 hours of work. Hence, y = 133.25 when x = 13:
[tex]133.25=13k[/tex]
Solve for k:
[tex]k=10.25\\[/tex]
Therefore, our constant of variation is 10.25.
We can substitute this into our equation:
[tex]y=10.25x[/tex]
Therefore, our direct variation equation is:
[tex]y=10.25x[/tex]
Contextually, the equation tells us that Kelly earns $10.25 per hour.
Part B)
Using the equation, we can determine the the number of hours Kelly worked to earn $246. We can substitute 246 for y:
[tex]246=10.25x[/tex]
Solve for x:
[tex]\displaystyle x=\frac{246}{10.25}=24[/tex]
Therefore, x = 24.
Therefore, Kelly must’ve worked 24 hours for her paycheck to be $246.
Part C)
We can use our equation. This time, we will substitute 40 for x and evaluate. Hence:
[tex]y=10.25(40)=\$410[/tex]
So, Kelly will earn $410 for working 40 hours.
what is the consent term in the expression 6x^3y+8x^2+5x+7 PLZ HELP ME. NO THERE IS NO ANSWER CHOICES. giving brainliest to right answer
Answers
Answer:
+ 7
Step-by-step explanation:
The constant term in the polynomial is the only term with no variable attached to it.
In this case that is + 7 ← constant term
Boris pushes a 5 lb. box 6 feet in 2 seconds. He has _____.
done 50 ft-lbs. of work
a power output of 30 ft-lbs./sec
a power output of 15 ft-lbs./sec
not done work
Answers
Answer:
B.
Step-by-step explanation:
1. Tyrel walks Mrs. Murray's dog each day for $10 per week. How much does he earn each day for walking the dog?
Answers
Answer:
$1.42 / day
Step-by-step explanation:
Divide 10 by 7. 10 for the amount of money being paid, 7 for the amount of days in a week.
Points for people that need them :)
Answers
Answer:
Thank you so much!!!
You're the best!!!!
Answer:
thx ☺️
ehehhehehehe
Step-by-step explanation:
so thx!
Gas prices at a gas station rose from $2.50/gallon to $3.25/gallon. What is the percent of increase in the gas prices?
Answers
unrounjrfStep-by-step explanation:
Sansra and bernice are starting a nutrition and exercise that will last 12 weeks. Sandra is starting at 150 pounds and plans to lose 1 pound a week. Bernice is starting at 135 and plans to lose 1/2 a pound a week. When during the program will sandra weight the same?
Answers
Answer:
They won't have the same weight during the program
Step-by-step explanation:
Let w = number of weeks
SANDRA:
Starting weight = 150 pounds
Weight lost per week = 1 pound
150 - w
BERNICE:
Starting weight = 135 pounds
Weight lost per week = 0.5 pound
135 - 0.5w
WEEK in which they'll weigh the same :
150 - w = 135 - 0.5w
150 - 135 = - 0.5w + w
15 = 0.5w
w = 15/ 0.5
w = 30
Since the program will last 12 weeks, they'll not have the same weight during the program
Write an equation in point slope form of the line with the slope of 4 that passes through (-2,-5)
Answers
Answer:
y=4x+3Step-by-step explanation:
m =4
[tex](-2,-5)=(x_1,y_1)[/tex]
Substitute values into slope intercept form
[tex]y-y_1=m(x-x_1)\\\\y-(-5)=4(x-(-2))\\\\y+5=4(x+2)\\\\y+5=4x+8\\\\y=4x+8-5\\\\y=4x+3[/tex]