Answer:
The solution to the system of equations is:
Step-by-step explanation:
Given the system of equations
2x = -6y
12x + 12y = 0
solving the system of equations by elimination method
Arrange equation variables for elimination
Multiply 2x+6y = 0 by 6: 12x+36y=0
subtracting the equations
solve -24y=0 for y
divide both sides by -24
Simplify
For 12x+36y=0 plug in y = 0
Divide both sides by 12
Simplify
Therefore, the solution to the system of equations is:
Answer:
(32, 31) (33,30) (34, 29) (35, 28) (36,27) (37, 26)
Step-by-step explanation:
The pairs of whole numbers that add to 63 and have a difference less than 10 are (27, 36), (28, 35), (29, 34), (30, 33), and (31, 32).
This problem is based in the domain of basic algebra. Essentially, you are being asked to find pairs of whole numbers that, added together, equal 63, with the condition that the difference between these two numbers is less than 10.
Starting from the number 32 (as any larger number plus any number greater than 0 would exceed 63), you can begin to list pairs, subtracting one number from the total of 63 while simultaneously adding that same amount to the other half of the pair. This will ensure that the sum always equals 63.
Here are the pairs satisfying the given conditions: (27, 36), (28, 35), (29, 34), (30, 33), (31, 32). For these pairs, the difference between the two numbers in each pair is less than 10.
#SPJ3
Answer:
87,010 cents is the SP.
Step-by-step explanation:
MP = $1400
VAT = 13%
Discount = 45%
so,
discount amount = 45% of MP
= 45% of $1400
= 45/100 * $1400
= 9/20 * $1400
= 9* $70
= $630
so,
MP - discount amount
= $1400 - $630
= $770(SP)
so,
VAT amount = 13% of SP
= 13% of $770
= 13/100 * $770
= $100.1
so,
SP + VAT
= $770 + $100.1
= $870.1
so,
$1 = 100 cents
$870.1 = 100*870.1
= 87,010 cents
The exact value of sin (π/3 + π) is: sin (4π/3) = -√3/2.
Here, we have,
To find the exact value of sin (π/3 + π), we can use the properties of trigonometric functions.
First, let's simplify the angle π/3 + π:
π/3 + π = (π + 3π)/3 = 4π/3
Now, we need to determine the reference angle within the unit circle for 4π/3.
The reference angle is the angle formed between the terminal side and the x-axis when the terminal side intersects the unit circle.
To find the reference angle for 4π/3, we subtract the nearest multiple of 2π from 4π/3:
4π/3 - 2π = (12π/3 - 6π)/3 = 6π/3 = 2π
Therefore, the reference angle for 4π/3 is 2π.
Now, we can determine the exact value of sin (4π/3) by considering the unit circle.
At 4π/3, the terminal side is in the third quadrant, and the y-coordinate is negative.
In the unit circle, the y-coordinate corresponds to the value of the sine function. Since the y-coordinate is negative, the exact value of sin (4π/3) is -√3/2.
Hence, sin (π/3 + π) = sin (4π/3) = -√3/2.
To learn more trigonometry click:
#SPJ2
Answer:umm I think to do that you need to สะเดมแคพสพว เุ่ะมำงกรด พรพเ่พยวพ
Step-by-step explanation:ระะทืะยะะืะนะทะ ถระทพนดทเรทเสเยเสเรเาดยเสะมะนเสเร้าเสพ
C = 5/9 (F – 32)
A. 25
B. 45
C. 60
D. 80
Answer:
A. 25°C
Step-by-step explanation:
C=5/9(77-32)
C=5/9(45)
C=25°C
To convert from Celsius to Fahrenheit. We apply the following formula:
We substitute the number 77 where the Fahrenheit degrees are, and we are left with the following form.
So 77 Fahrenheit, on the Celsius scale is 25.So the correct alternative is option "A".
How many pages does Rebekah want to read each day?
A. 75 pages
B. 130 pages
C. 150 pages
D. 560 pages
Answer:
C. 150 pages
Step-by-step explanation:
204 divided by 136 = 1.5
1.5 * 100 = 150
Hope it helps! :)