Answer:
3
Step-by-step explanation:
|a−b|−|c+d|
Let a=5; b=−5; c=−4; d=−3
substitute the values in
|5− -5|−|-4+-3|
|5+5|−|-4+-3|
|10|−| -7|
Taking the absolute values
10 - 7
3
Answer:
the dimension of the rectangle is 4 cm and 6 cm respectively
Step-by-step explanation:
The computation of the dimension of the rectangle is shown below:
Given that
The perimeter of the rectangle is 20 cm
The width be x
So, the length would be 2 1 ÷ 4 x - 3 i.e. 9 ÷ 4x - 3
Now as we know that
Perimeter of the rectangle = 2 (length + width)
20 = 2 (9 ÷ 4x - 3 + x)
20 = 9 ÷ 2x - 6 + 2x
20 = 4.5x - 6 + 2x
26 = 6.5x
x = 4 cm
Now the length would be
= 9 × 4 ÷ 4 - 3
= 6 cm
Hence, the dimension of the rectangle is 4 cm and 6 cm respectively
Answer:
Step-by-step explanation:
y=ax^2+bx+c
when x=0,y=7 so c=7
when x=3 then y=a*3^2+b*3+7=-2
9a+3b+7=-2
9a+3b=-2-7
9a+3b=-9
V(3,-2)
3=-b/2a
-b=3*2a
b=-6a
9a+3*(-6a)=-9
9a-18a=-9
-9a=-9
a=1
b=-6*1
b=-6a
b=-6
so y=x^2-6x+7
Answer:
990, C
Step-by-step explanation:
The formula for the surface area of the bottom cushion is
A = 2wl + 2lh + 2hw (w is width, l is length, h is height)
w = 18, l = 21, h = 3
A = 2(18)(21) + 2(21)(3) + 2(3)(18)
A = 2(378) + 2(63) + 2(54)
A = 756 + 126 + 108
A = 990 (C)