Answer:
y = -1/3x + 2
Step-by-step explanation:
The gradient of the given line is 3 because (y = mx +c where m is the gradient)
Therefore, to find the gradient of the perpendicular line (at 90 degrees), you need to find the negative reciprocal.
The negative reciprocal of 3 is -1/3 because imagine if 3 = 3/1, to get the reciprocal, you flip it, and to get the negative, you just flip the sign.
Now we know that Line M is y = -1/3x + c, we need to find the y-intercept.
To do this, just input the point (3,1) into y = -1/3x + c, to get c. This is because we know (3,1) is on the line from the question.
So it would be 1 = (-1/3 x 3) +c
Which would be 1 = -1 +c
And so c = 2
Put everything together and you get y = -1/3x + 2
Answer: 192 books
Step-by-step explanation:
2/3 + 1/4 = 11/12
16 remaining books = 1/12
16 x 11 = 176
176 + 16=192
To compare these two values, we need them to be in the same form.
To convert 20% into a decimal, we divide 20/100, or 0.20.
When comparing decimals, we know that 0.2 > 0.02.
Therefore, 20% > 0.02. (20% is greater than 0.02)
Answer:
3:1
Step-by-step explanation:
If you look at the sides, they all have the same factor of three, and dividing by three gets you to the smaller rectangular prism.
A is the answer and i am in 6th grade