How do I solve x+4y=22
-x+5y=23
Answers
{ - x + 5y = 23
4y + 5y = 22 + 23
9y = 45
y = 45
9
y = 5
x + 4y = 22
x + 4 . 5 = 22
x + 20 = 22
x = 22 - 20
x = 2
S = { 2 , 5 }
-x+5y=23 (+)
9y=45
y=5
x+4*5=22
x=22-20
x=2
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Angle θ is in standard position. If (8, -15) is on the terminal ray of angle θ, find the values of the trigonometric functions.sin(θ) = cos(θ) = tan(θ) = csc(θ) = sec(θ) = cot(θ) =
At a point on the ground 24 feet from the base of the tree, the distance to the top of the tree is 4 feet more than three times the height of the tree. find the height of the tree.
Kalinda buys x packs of currant buns and y boxes of iced buns
Answers
Answer: the initial deposit is $162.1
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
e is the mathematical constant approximated as 2.7183.
From the information given,
r = 7% = 7/100 = 0.07
t = 3 years
A= $200
Therefore,
200 = P x 2.7183^(0.07 x 3)
200 = P x 1.234
P = 200/1.234
P = $162.1 to the nearest cent
Answers
Answer:
obtuse angle
Step-by-step explanation:
m(<CEA)=m(<BED)=88 (vertically opposite angles)
So m(<CEB)+m(<AED)=360-(88+88)=182
m(<CEB)=m(<AED)= 182÷2=92
Answers
x + 5 - 10 = 3
where x is unknown number.
x + 5 = 3 + 10
x + 5 = 13
x = 13 - 5
x = 8
which equation represents the general form of a circle with a center at (-2 -3) and a diameter of 8 units ?
• x²+y²+4x+6y-51=0
•x²+y²-4x-6y-51=0
•x²+y²+4x+6y-3=0
•x²+y²-4x-6y-3=0
Answers
Answer:
it’s the 3rd one:)
Step-by-step explanation:
Answer:
- In this situation, (h, k) = (-2, -3)
- Radius = 8/2 = 4 units
Substitute them into the circle equation: (x - h)² + (y - k)² = r²
(x - (-2))² + (y - (-3))² = 4²
(x + 2)² + (y + 3)² = 4²
Now expand the equation:
(x + 2)² + (y + 3)² = 4²
(x + 2)(x + 2) + (y + 3)(y + 3) = 16
(x² + 2x + 2x + 4) + (y² + 3y + 3y + 9) = 16
x² + 4x + 4 + y² + 6y + 9 = 16
x² + y² + 4x + 6y + 13 - 16 = 0
x² + y² + 4x + 6y - 3 = 0
Answers
Answer:
Hope it help you
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Step-by-step explanation:
Answer is -4
REAL NAME - SHRESTH DUBEY
-4 is the Answer.
-32/8 would be -4
Each bag of soil covers 20 square yards. How many bags should the farmer purchase?
1 bag
2 bags
3 bags
4 bags
Answers
The farmer needs to purchase 3 bags of soil
How to determine the amount of soil needed?
The attached figure represents the farm area.
The area of the farm is calculated as:
Area = Base * Height
This gives
Area = (6.5 + 2.5) * 6
Evaluate
Area = 54 square yards
From the question, we understand that:
1 bag = 20 square yards
This means that the number of bags needed is:
Bags = 54/20
Evaluate
Bags = 2.7
Approximate
Bags = 3
Hence, the farmer needs to purchase 3 bags of soil
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Answer:2
Step-by-step explanation: