Answer:
E = (1, 2)
Step-by-step explanation:
You want ...
(E -G) : (O -E) = 3 : 4
4(E -G) = 3(O -E) . . . . . . . . "cross multiply"
4E -4G = 3O -3E . . . . . . . . eliminate parentheses
7E = 4G + 3O . . . . . . . . . . . add 3E+4G
E = (4G +3O)/7 . . . . . . . . . .divide by 7
E = (4(-5, -1) +3(9, 6))/7 = (-20+27, -4+18)/7 = (7, 14)/7 . . . . fill in G and O
E = (1, 2)
Answer:
$28
Step-by-step explanation:
2x4=8
4x5=20
20+8=28
hope this helps :)
Answer:
The length of the yard is 102
Step-by-step explanation:
If the width of the yard is 100 feet, and it's a rectangular, that means the other side of the rectangle is also equal to 100 feet. So so far we have 200 feet of the yard covered. Then we do 404-200=204. So the combined length of both the sides is 204. Since they both equal the same length, we can then do 204/2 to get 102. So one side length is 102 and the L, W, L, W of the rectangle is 102, 100, 102, 100. In other words, the rectangle is 102 by 100.
You are correct. It is 84.7 - 60 which equals 24.7 yd.
It's a Quadratic that doesn't have any real roots as the parabola doesn't cross the x-axis.
For graphing:
If you're familiar with the parabola of y=x^2, then you could graph that but just translate it upwards by +4 on the y such that f(x)+4 will be equal to it.
If you aren't, then we know the y-intercept is 4, and that's also the point of the minimum point of the curve. If I were you, I'd write a table of some of the integer values:
x y
-2 8
-1 5
0 4
1 5
2 8
The value of y is the same for x and -x as anything squared is positive.This means that there is a line of symmetry in the y-axis.
This then makes it much easier to graph, simply place these points on the graph and make sure the curve is exponential. This means the gradient (steepness) gets greater the bigger the value of x.
