The answer is c. 10y and -9y
Answer:
-1/3 is closer to 0
Step-by-step explanation:
3/8 is between 0 and -1/3. We need to determine if 3/8 is closer to -1/3 or closer to zero. Since -1/3 is smaller than 3/8, 3/8 is closer to -1/3. Since 3/8 is closer to -1/3, 3/8 rounded to the nearest -1/3 is -1/3.
Answer:
D
Step-by-step explanation:
A and B are not, and C doesnt work so D
<u>Answer:</u>
1) Option B
2) Option A
<u>Step-by-step explanation:</u>
Question 1:
We will find the slope of the line with the help of the given points (0, 7) and (5, 3)
.
Now, we will use any one of the given points and substitute its x and y coordinates in the standard form of equation of a line to find the y-intercept:
Therefore, the equation of the line 1 is
Question 2:
We are given the slope of this line and a point (-6, 0) which the line passes through.
Therefore, the equation of line 2 is .
C(a,b), because the x-coordinate( first coordinate) is a (seeing as it is situated directly above point B, which also has an x-coordinate of a) and the y-coordinate ( second coordinate) is b (seeing as it is situated on the same horizontal level as point D, which also has a y-coordinate of b)
the length of AC can be calculated with the theorem of Pythagoras:
length AB = a - 0 = a
length BC = b - 0 = b
seeing as the length of AC is the longest, it can be calculated by the following formula:
It is called "Pythagoras' Theorem" and can be written in one short equation:
a^2 + b^2 = c^2 (^ means to the power of by the way)
in this case, A and B are lengths AB and BC, so lenght AC can be calculated as the following:
a^2 + b^2 = (length AC)^2
length AC = √(a^2 + b^2)
Extra information: Seeing as the shape of the drawn lines is a rectangle, lines AC and BD have to be the same length, so BD is also √(a^2 + b^2). But that is also stated in the assignment!