Answer: Options 1, 3, 5
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals, so since the slope of the given line is 1/3, we need to find lines with a slope of -3.
- Option 1 has a slope of -3.
- Option 2 has a slope of 3.
- Option 3 has a slope of -3.
- Option 4 has a slope of 1/3.
- If we subtract 3x from both sides, we get y=-3x+7, so option 5 has a slope of -3.
Answer:
0; 10; 20
Step-by-step explanation:
x is the independent variable
y is the dependent variable
y is dependent on x
a) For what value of the independent variable will the value of the function be equal to −6
y=0.3x−6
-6 = 0.3x-6
0=0.3x
x = 0
Therefore, if the independent variable is 0, the value of the function will be -6.
b) For what value of the independent variable will the value of the function be equal to −3
y=0.3x−6
-3 = 0.3x-6
0.3x = -3+6
0.3x = 3
x = 3/0.3
x = 10
Therefore, if the independent variable is 10, the value of the function will be -3.
c) For what value of the independent variable will the value of the function be equal to 0.
y=0.3x−6
0=0.3x-6
6 = 0.3x
x = 6/0.3
x = 20
Therefore, if the independent variable is 20, the value of the function will be 0.
Answer:
The Slope is 1/4
Step-by-step explanation:
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Answer:
whats the question?
Step-by-step explanation:
9514 1404 393
Answer:
63
Step-by-step explanation:
Reversing the digits changes the value by a factor of 9 times the difference in the digit values. Here, this means the digits differ by 27/9 = 3. If one digit is double the other, the higher digit is 2×3 = 6.
The number is 63.
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If you like, you can work through the algebra of it. Let the original number have tens digit x and ones digit y.
original number value = 10x +y
reversed number value = 10y +x
difference of values = 27 = (10x +y) -(10y +x) = 9(x -y)
The tens digit is twice the ones digit, so we have ...
x = 2y
Substituting in the difference equation, we have ...
27 = 9(x -y)
3 = (2y -y) = y . . . . . divide by 9, substitute for x
x = 2(3) = 6
The number is 10x+y = 63.
