<h3><u>The length is equal to 8.</u></h3><h3><u>The width is equal to 4.</u></h3>
2l + 2w = 24
l = 3w - 4
Because we have a value for l, we can plug it into the first equation to solve for the exact value of w.
2(3w - 4) + 2w = 24
Distributive property.
6w - 8 + 2w = 24
Combine like terms.
8w - 8 = 24
Add 8 to both sides.
8w = 32
Divide both sides by 8.
w = 4
Now that we have a value for w, we can plug it into the second equation to solve for the exact value of l.
l = 3(4) - 4
l = 12 - 4
l = 8
Answer: y= -2x - 4
Step-by-step explanation:
This is a straight line, so it can be expressed by y = mx + c.
Here c is y-intercept, which means where line cuts the y-axis. We can see from the graph that the line cuts the y-axis at -4.
So, c = -4.
m is slope.
Use slope formula to find m.
m = ( -4 - 0 ) / ( 0 -(-2))
m = -4 / 2
m = -2
Now put values into this equation
y = mx + c
y = -2x - 4
Answer: 0.5 < x < 16.5.
Step-by-step explanation:
Given: Two sides of triangle: 8.0 units and 8.5 units
Measure of third side = x
According to the triangle's inequality,
- Sum of any two sides > third side. (i)
- Difference between the sides < third side. (ii)
If x is the third side, then
x < 8+8.5 [Using (i)]
i.e. x< 16.5
Also, x > 8.5-8 [Using (ii)]
i.e. x> 0.5
Hence, Range of possible sizes for side x would be 0.5 < x < 16.5.
Answer:
-2.5
Step-by-step explanation:
175-180 / 3-1
= -5/2
=-2/5
Answer:
x + 4/3x^3
Step-by-step explanation:
y=1/2x^2-2/3x^-2
dy/dx=1/2(2x)-2/3(-2x^-3)
=x+4/3 x^-3
=x+4/3x^3
