Answer: A
Step-by-step explanation: 3(1)+k =8 8-3=5
The rule would be ~y=4x+3~
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Answer:
Length of rectangle: 2n - (1/3) + 9/(3n)
Width of rectangle = 3n
Rectangle area = A = 6 n^2 - n + 9
Step-by-step explanation:
Rectangle area = A = 6 n^2 - n + 9
test what the roots are: b^2 - 4ac = (-1)^2 - 4*6*9 < 0 no real roots
-215 < 0 discriminant
(6 n^2 - n + 9) / (3n) =
2n - (1/3) + 9/(3n)
If the area is divided by 3n, the quotient is 2n - (1/3) and the remainder is 9
Problem 11
Answer: Angle C and angle F
Explanation: Angle C and the 80 degree angle are vertical angles. Vertical angles are always congruent. Angle F is equal to angle C because they are alternate interior angles.
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Problem 12
Answer: 100 degrees
Explanation: Solve the equation E+F = 180, where F = 80 found earlier above. You should get E = 100.
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Problem 13
Answer: 80 degrees
Explanation: This was mentioned earlier in problem 11.
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Problem 14
Answers: complement = 50, supplement = 140
Explanation: Complementary angles always add to 90. Supplementary angles always add to 180. An example of supplementary angles are angles E and F forming a straight line angle.
Answer:No
Step-by-step explanation:
Given system of equation is:
2x + 3 = y
2x + y = 15
To check whether (2,7) is solution to this system or not, we will put x=2 and y=7 in both equations.
Putting x=2 and y=7 in Eqn 1
2(2) + 3 = 7
4 + 3 = 7
7 = 7
Thus the ordered pair satisfies the equation
Putting x=2 and y=7 in Eqn 2
2(2) + 7 = 15
4 + 7 = 15
11 ≠ 15
The ordered pair do not satisfy the second equation.
Hence,
(2,7) is not a solution to the given system of equations.
