![Find The Determinant Of The Following Matrix. [5. -4] [8 2]](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/Ip4LS701IMkSnS7ae2Kf21tAvDa7VIEh.jpeg)
Answers
Answer:
determinant formula looks like ad - bc in a 2 x2 matrix when it's in the from of
a b
c d
as the one is here
Step-by-step explanation:
5*2 - (-4*8)
=10 - (-32)
=10 + 32
= 42
Related Questions
The roots of $y^2 + 5y - 11 = 0$ are $a$ and $b$. Find $(a + 3)(b + 3).$
Answers
Since a and b are roots of y² + 5y - 11, we have
y² + 5y - 11 = (y - a) (y - b)
and expanding the right side gives
y² + 5y - 11 = y² - (a + b) y + ab
so that
a + b = -5
ab = -11
Now,
(a + 3) (b + 3) = ab + 3 (a + b) + 9
(a + 3) (b + 3) = -11 + 3 (-5) + 9
(a + 3) (b + 3) = -17
What is the period of this periodic function?
A) π/4
B) 5π/2
C) 3π/4
D) 4π/3
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What is the image of the point (0, 5) after the reflection over the line x = 5?
Answers
Answer:
(10, 5)
Step-by-step explanation:
(0, 5) reflected over x=5 becomes 10 units away from x = 0
look at the cups shown below (images are not drawn to scale). how many more cubic inches of juice will cup B hold than cup A when both are completely full? round your answer to the nearest tenth.
Answers
Answer:
18.8 cubic inches
Step-by-step explanation:
✔️Amount of juice Cup B will hold than Cup A = Volume of cup B - volume of cup A
✔️Volume of Cup B = Volume of cylinder = πr²h
radius (r) = ½ of 2 = 1 in.
height (h) = 7 in.
Volume of cup B = π*1²*7 = 21.99 in.³
✔️Volume of Cup A = Volume of cone = ⅓πr²h
radius (r) = ½ of 2 = 1 in.
height (h) = 3 in.
Volume of cup B = ⅓*π*1²*3 = 3.14 in.³
✔️Amount of juice Cup B will hold than Cup A = 21.99 in.³ - 3.14 in.³ = 18.8 in.³ (nearest tenth)
Answer:
18.8 cubic inches
Step-by-step explanation:
the first person has it right
Rachel earns $67.50 for working 9 hours at the dairy farm. How much does Rachel make per hour? How much would Rachel make if she works 5 hours a day for 6 days?
Answers
Answer:
$225
Step-by-step explanation:
Frist, we need to figure out how much Rachel makes per hour. For 9 hours of work, she makes $67.50
67.5 / 9 = 7.5
Rachel makes $7.50 per hour
Now we can add up all the hours she worked.
5 hours a day for 6 days
5 x 6 = 30
She worked 30 hours at a rate of $7.50 per hour
7.5 x 30 = 225
She earned $225
You are making a blueprint of your bedroom and you plan to use a scale factor of 1/8. The actual width of your room is 12 feet and the actual length of your room is 10 feet. Determine the width and length of your room on the blueprint.
Answers
Answer:
The width will be 1.5 feet and the length will be 1.25 feet.
Step-by-step explanation:
12/8=1.5
10/8=1.25
HELP ME PLZZ I NEED HELP WITH THIS!!
Answers
Answer:
its the second one
Step-by-step explanation:
Answer:
B. Subtract 28 from both sides
Step-by-step explanation:
2x + 28 = 40
-28 -28
2x = 12
2x/2 = 12/2
x = 6
Help! (tell me if you can’t see it)
Answers
Answer:
B. y=7x+3
Step-by-step explanation:
You find the changes of y over the changes of x. y sub 2 - y sub 1 divided by x sub 2 over x sub 1. So, 17 - 10 over 2 - 1 = 7. 3 is the y-intercept. y=7x+3
helppppppppppppppppppp pls
Answers
Step-by-step explanation:
0.2x = 20
The step that should be done is to multiply both sides by 5:
5(0.2x) = 5(20)
x = 100.
What is the value of the expression
3(w•8) + x
When w=1/4 and x=4
A 4
B 8
C 10
D 12
Answers
Answer:
The answer is ten or Letter C
Step-by-step explanation:
You plug in the values of w and x so you get 3(1/4*8)+4. Multiply whats in the parthensis then distribute the 3 into 2 and get 6. So 6+4=10. Thats the answer for this expression. I hope this helps!
please help!! this is the question right here
Answers
Find the values of x and z
Answers
Answer:
z = 92 degrees
x = 6
Step-by-step explanation:
z and the angle that measures 92 degrees are vertical angles which means they are congruent. So, z = 92 degrees.
The total measure of all these angles is 360 degrees. Subtract 92*2 from 360 and divide the answer by 2. You get 88.
88 = 9x + 34
Solve for x.
x = 6
Answer:
z = 92°x = 6Step-by-step explanation:
For x:
Write and algebraic equation: 92 + (9x + 34) = 180Combine like terms: 126 + 9x = 180Subtract 126 from each side, so it now looks like this: 9x = 54Divide each side by 9 to cancel out the 9 next to x. It should now look like this: x = 6For z:
Because the 92° angle and z make a vertical angle, 92° = z°I hope this helps!
Ms. Parker baked 6 dozen cookies. She gave 2 dozen cookies to her sister,
1 dozen cookies to her brother, and kept the remaining cookies for herself.
What amount of the cookies did she keep for herself?
Answers
Answer:
She has 3 dozens left which equals to 36 cookies in all
Step-by-step explanation:
12−6x>24 I need help with this
Answers
Answer:
-132
Step-by-step explanation:
hope it helps you out
Ben and Caleb work for a landscaping company. On Monday, they worked on two different walkways. They laid the same number of bricks, but Ben finished first. On Tuesday, they are going to work together to build the brick border of a patio. If they work for the same amount of time on Tuesday, who will likely lay more bricks?
Answers
Ben will likely lay more bricks than Caleb. Because Ben has higher efficiency.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
As mentioned in the question,
Ben and Caleb work for a landscaping company. On Monday, they worked on two different walkways.
Since They laid the same number of bricks, but Ben finished first.
Now, On Tuesday, they are going to work together to build the brick border of a patio. they work for the same amount of time on Tuesdays,
But Ben has higher working efficiency so Ben will lay more bricks than Caleb.
Thus, Ben will likely lay more bricks than Caleb.
Learn more about arithmetic here:
https://brainly.com/question/11424589
#SPJ5
Can someone explain this problem to me?? After a price reduction of x%, an item has its price increased to its original value. What was the percent of increase? Express your answer as a common fraction in terms of x.
Answers
Answer:
[tex]\frac{-100(100+x)}{(x-100)}[/tex]
Step-by-step explanation:
Let the original price of the item = p
Let there was q% of increase on the original value, so
the printed price of the item, [tex]C= p+p \frac{q}{100}=p(1+\frac{q}{100})[/tex]
After a price reduction of x%, the has its price increased to its original value, so,
[tex]C-C\times \frac {x}{100} =[/tex] original price + increased price
[tex]p(1+\frac{q}{100})-p(1+\frac{q}{100})\times \frac {x}{100} = p+p[/tex]
[tex](1+\frac{q}{100})-(1+\frac{q}{100})\times \frac{x}{100} =2[/tex]
[tex]-(1+\frac{q}{100})\times \frac{x}{100} =2-1-\frac{q}{100}[/tex]
[tex]-(1+\frac{q}{100})\times \frac{x}{100} =1-\frac{q}{100}[/tex]
[tex](1+\frac{q}{100})\times \frac{x}{100} =\frac{q}{100}-1[/tex]
[tex]\frac{x}{100}+\frac{q}{100}\times\frac{x}{100}-\frac{q}{100}=-1[/tex]
[tex]x+x \times \frac{q}{100}-q=-100[/tex]
[tex]q(\frac{x}{100}-1)=-100-x[/tex]
[tex]q=\frac{-100(100+x)}{(x-100)}[/tex]
Hence, the percent of the increase is [tex]\frac{-100(100+x)}{(x-100)}[/tex]
The ratio of right-handed students to left-handed students is 9 to 2. There are 468 right-handed students in the school. How many students are left handed?
Answers
Answer: 104 left handed students
Step-by-step explanation:
Ratio: 9:2
We should divide 468 by 9, use the number we find, and then multiply it by 2.
468 / 9 = 52
52 x 2 = 104.
There are 104 left-handed students in the school.
Hope this helps!
Jerry is paid twice a month. Last month, his first paycheck was for $52. He paid $18 for gasoline and $20 for food. His next paycheck was for $65. He paid $16 for gasoline and $25 for food. What is his balance?
Answers
Answer:
Jerry's current balance is $41.
Step-by-step explanation:
We need to subtract what he spent, and add what he gained.
So:
(Money spent)
$18 + $20 = $38
(Current balance)
$52 - $30 = $22
(Current balance)
$65 + $22 = $87
$25 + $16 = $41
Current balance: $41
Mary has 2 1/3 yards of fabric.
She wants to cut the fabric into 1/6 yard strips.
Answers
Answer:
so what should we do it is incomplete answer
Step-by-step explanation:
42
Answer:
14
Step-by-step explanation:if she cut the pices into 1/6 pices she would have 14 of them so the answer is 14.
Find the equation of the line that contains the point (-5,-3) and is parallel to the line 5x+6y=11. Write the equation in slope-intercept form,if possible.
Answers
Answer:
y = -5x/6 - 33/6
Step-by-step explanation:
The standard form of equation of a line in point slope form is y - y0 = m(x - x0)
m is the slope
(x0, y0) is the point on the line
First we need the slope of the given equation 5x+6y=11.
Rewrite in standard form;
5x+6y=11
6y = -5x + 11
y = -5/6 x + 11/6
Hence the slope is -5/6
Since the unknown line is parallel to this line, they will have the same slope, hence the slope of the required line is -5/6
Substitute m = -5/6 and the point (-5,-3) into the point-slope expression;
y - y0 = m(x - x0)
y - (-3) = -5/6 (x - (-5))
y + 3 = -5/6(x+3)
6(y+3) = -5(x+3)
6y+18 = -5x - 15
6y+5x =-15 -18
6y+5x =-33
Express in slope intercept form
6y = -5x - 33
y = -5x/6 - 33/6
2 6/8 in simplest form
Answers
Answer:
2 3/4
Step-by-step explanation:
what is the circumference
Answers
Answer: 69.43 cm
Step-by-step explanation:
Given: Arc length (JK) = 40.5 cm
Central angle ∠ JLK = 210°
Arc length = [tex]\dfrac{x}{360}\times\text{Circumference}[/tex]
[tex]\Rightarrow\ 40.5=\dfrac{210}{360}\times\text{Circumference}\\\\\Rightarrow \text{Circumference} =40.5\times\dfrac{360}{210}\\\\\approx69.43\ cm[/tex]
Hence, Circumference = 69.43 cm
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A box contains 7 plain pencils and 3 pens. A second box contains 5 color pencils and 5 crayons. One item from each box is chosen at random. What is the
probability that a plain pencil from the first box and a color pencil from the second box are selected?
form
Answers
Answer:
60%
Step-by-step explanation:
add them all to 20
add 7 and 5 to get 12
12 over 20 is 60 percent
A large amount of money is spent on promotional activities in the United States every year. The average budget breaks down as follows 50% for advertising 30% for sales promotion, and 20% for trade promotion. Use these percentages to calculate the amount a company will spend on each type of promotion if its overall budget is $400,000.
Answers
Answer:
Iam here to ruin your day sry nothing personal.
What is the discriminant of the quadratic equation
x^2– 7x-9=0
Answers
For the points P and Q, find the distance d(P, Q).
P(3,-6), Q(7,-4)
Answers
Answer:
d=2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
please give thanks :)
Crayons come in packs of 25 and markers come in packs of 10. Marcus wants to have the same amount of markers and crayons. What is the fewest amount of packages of each he needs to buy to have the same amount of each?
Answers
Answer
2 packs of crayons
Step-by-step explanation:
5 packs of markers
WHO IS EARNING POINTTTSSS?!!!! ♡ ( who is smart )
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Answer:
Step-by-step explanation:
yup its b i checked
A medium size apple weighs about 225
grams. How
many medium
apples would it take to make 1.5 kilograms?
Answers
Answer:
Concept: Unit Conversion and Application
1 apple = 225 gram 225 grams to kg = 0.225 Remember there are 1000 grams in a kg Hence we want to know how many apples make up 1.5 kg 1.5/0.225=6.66 apples But we must be conservative to not underproject Hence 7 applesAnswer:
A. 7Step-by-step explanation:
1 apple weights 225 g
1.5 kg converted to grams = 1500 g1500 / 225 = 6.66 ≈ 7 apples rounded upCorrect option is A. 7
PLEASE HELPPPPP!!!!
write an equation of line line in slope intercept form (0,3) and (1,2)
Answers
[tex]y = - x - 3[/tex]
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