Find the values of x and y in the following system of two equations.7x - 3y = -16
4x + 6y = 2
Answers
Answer:
x = -5/3 and y = 13/9
Step-by-step explanation:
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3 and 4
B.
5 and 7
C.
11 and 13
D.
143 and 145
Answers
We know the square root of 9 is 3, and the square root of 16 is 4, so the square root of 12, which is between 9 and 16, must be between 3 and 4.
Answers
The volume of a hemisphere is .
What is volume of a hemisphere?
A hemisphere is half of a full sphere, we can calculate the volume of a hemisphere just by halving the volume of the complete sphere.
So, we can calculate the volume of a hemisphere by using the following formula,
Here, is the radius,
is the volume of hemisphere.
So,
It is given that the radius is .
We have to find .
So,
Hence, the volume of hemisphere is .
Learn more about volume of hemisphere here,
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Answer:
volume of hemisphere =1912.26cm^3
Step-by-step explanation:
radius(r)=9.7cm
now volume of hemisphere=(2/3)π
=(2/3)*(22/7)*(9.7)^3
=(2/3)*(22/7)*912.673
=(2/3)*2868.40086
=1912.26cm^3
3x – 2y = 21
–2x – 3y = 21
–2x + 3y = 7
Answers
Ax + By = C
where A, B and C are constants.
y = –2/3x + 7
2/3x + y = 7
(2/3x + y = 7)3
2x + 3y = 21
Therefore the correct answer is the first option.
−1(6m2 − 18m + 36)
−6m(m2 − 3m + 6)
−6(m2 + 3m − 6)
Answers
You have to find the greates common divisor of the coefficientes, which is -6 and then divide each momomial with lead to: -6 (m^2 + -3m + 6).
You can verifiy the result by multiplying -6 times the polynomial inside the parenthesis, using the distributive property.
Answer:
The first one is the right one i just took the test
Step-by-step explanation:
Answers
opposite of 1/1 on x axis is opposite of 1/1 on y
Answers
Answer:
The exact value of is
Step-by-step explanation:
We need to calculate the exact value of
Since,
Put in above
Since,
Therefore, the exact value of is
The exact value of tan(5π/12) is √(2/3).
How to determine the exact value of tan 5pi/12
The exact value of tan(5π/12) can be calculated using trigonometric identities and reference angles.
The angle 5π/12 is not a special angle with a known tangent value, so we need to work with its reference angle, which is π/12.
Using the identity tan(θ) = sin(θ) / cos(θ), we can express tan(π/12) as:
tan(π/12) = sin(π/12) / cos(π/12)
Now, let's find the exact values of sin(π/12) and cos(π/12) using half-angle and double-angle formulas:
sin(π/12) = sin(π/6) / 2^(1/2)
= 1 / 2^(1/2) / 2
= (2^(1/2)) / 4
= √2 / 4
cos(π/12) = cos(π/6) / 2^(1/2)
= 3^(1/2) / 2 / 2^(1/2)
= 3^(1/2) / 4√2
= (√3) / 4
Now, we can substitute these values back into the expression for tan(π/12):
tan(π/12) = sin(π/12) / cos(π/12)
= (√2 / 4) / (√3 / 4)
= (√2 / 4) * (4 / √3)
= √2 / √3
= √(2/3)
Therefore, the exact value of tan(5π/12) is √(2/3).
Learn more about trigonometric identities at brainly.com/question/25618616
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