The perimeter is the total of adding all of the sides together. A rectangle has 2 lengths and 2 widths. The equation would be:
P = 2l + 2w or P = l + l + w + w
Since you know the perimeter, you can plug it into the equation
53 = 2l + 2w
You can divide the 2 on both sides
26.5 = l + w
l = w + 2.3 because the length is 2.3 meters longer/more than the width. You can substitute (w + 2.3) for "l" in the equation. So instead of:
26.5 = l + w
It will be:
26.5 = (w + 2.3) + w
26.5 = w + 2.3 + w
Subtract 2.3 on both sides
24.3 = w + w
24.3 = 2w
Divide 2 on both sides
12.1 = w
The width is 12.1 meters
Given:
The equation of the curve is:
To find:
The gradient (slope) of the given curve at point (2,7).
Solution:
We have,
Differentiate the given equation with respect to x.
Now we need to find the value of this derivative at (2,7).
Therefore, the gradient (slope) of the given curve at point (2,7) is 19.
Step-by-step explanation:
1 .f(x)=-x+1
f(-1)= (-1)-(-1)+1
f(-1)= 1+1+1
= 3
3.f(x)=-x+1
f( 1)=(1)-1+1
f( 1)=1-1+1
=1
5. f(x)=-x+1
f(3)=-3+1
= 9-3+1
=7
2. g(x) = 5 - 3x
g( -8)=5-3(-8)
g( -8)=5+24
=29
4.g(x) = 5 - 3x
g(5)=5-3(5)
g(5)=5-15
=-10
6.g(x) = 5 - 3x
g(-3)=5-3(-3)
g(-3)=5+9
=14
Answer:
56
Step-by-step explanation:
hope it helps