Answer:
-15.4
Step-by-step explanation:
4(2(-2)) + 3(3) - 2(4.2)
Multiply the numbers in the parentheses first because of PEMDAS.
4(-4) + 9 - 8.4
-16 + 9 - 8.4
Now add the numbers together.
-15.4
5x-3y=16
3x-5y=-4
Multiply the first equation by 3; the second one by 5
15x-9y=48
15x-25y=-20
Eq 1 - Eq 2:
-9y+25y=48+20=68
16y=68
4y=17
y=17/4
5x-3y=16
5x-3×17/4=16
5x=16+51/4=(64+51)/4=115/4
x=115/4/5=23/4
x=23/4
Answer:
(4, -3)
Step-by-step explanation:
The origin is at (0,0). When you move right or left, you change the x-coordinate, or the first coordinate. You moved right which is in the positive direction so now your coordinate is (4,0).
When you move up or down, you change the y-coordinate, or the second coordinate. You moved down which is in the negative direction so your final coordinate is (4, -3).
Step-by-step explanation:
Let x be the length and y be the width of the rectangular plot.
The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,
x+2y = 1500
x = 1500 - 2y ....(1)
We know that the area of a rectangular plot is given by :
A = xy ....(2)
Put the value of x from equation (1) in (2)
.....(3)
For largest area, differentiate above area equation wrt y.
Put the value of y in equation (1).
x = 1500-2(375)
= 750 m
Put the value of y in equation (3).
Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.