Answer:
y = -2x+4
y = (3/2)x -3
The point of intersection is (2, 0), or x=2 and y=0.
Step-by-step explanation:
The downward-sloping line drops 2 grid squares for each 1 it goes to the right, so its slope is -2. It intersects the y-axis at +4. In slope-intercept form, its equation is ...
y = slope · x + (y-intercept)
y = -2x + 4
Similarly, the upward-sloping line rises 3 grid squares for each 2 it goes to the right, so its slope is 3/2. It intersects the y-axis at -3. Its equation is ...
y = (3/2)x -3
The two lines intersect at the point where x=2 and y=0, so the coordinates are (2, 0). These are the values of x and y that satisfy both equations, so are the solution to the system.
Here’s the answer from desmos!
R^2 = [tCos(t)]^2 + [tSin(t)]^2 = t^2(Sin(t)^2 + Cos(t)^2) = t^2
So the curve is a circle with the center at the origin.
When t=pi, x=-1 is the equation of the tangent to the curve at that point.
Answer: Box A, 2.777
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Explanation:
When using a calculator or long division, you should find that
7/9 = 0.7777...
where the 7s go on forever
So we can say that 7/9 = 0.777 approximately. You could argue that the last '7' would round up to an '8' and we could say 7/9 = 0.778; however, I'll stick to the first value so that it matches with the answer.
Since 7/9 = 0.777, this means 2 & 7/9 = 2 + 7/9 = 2 + 0.777 = 2.777 which is box A.
Answer:
Just for the reason that, you do not have any further doubt on this.
If you have studied Permutations & Combinations or Combinatorics, you will know, actually, the 1st, 2nd and 3rd places can be selected in 7P3 or (73)×3!. Here, what we are doing is, we are finding the number of ways of choosing 3 elements from the 7 given elements to be our 1st, 2nd and 3rd place holders and since the order matters here, i.e., how the 3 chosen elements are arranged to be 1st, 2nd and 3rd matters here, we multiply it by 3!.
