Area of rhombus = 0.5 x D1 x D2
Thus,
Area = 0.5 x 30 x 18
= 270 units ^2
Answer:
f [ x ] = [ x - 3] [ x + 8 ] = x^2 + 5x - 24
Step-by-step explanation:
f (x)=[ x - 3] [ x + 8 ]
x [ x + 8 ] -3[ x + 8 ]
x^2 + 8x - 3x - 24
x^2 + 5x - 24
Answer:
Step-by-step explanation:
Given
Required
Possible values of k
The general quadratic equation is:
Subtract and
Factorize:
Rewrite as:
Compare the above equation to:
For the equation to have two distinct solution, the following must be true:
So, we have:
Expand
Rewrite as:
Expand
Factorize
Factor out k + 6
Split:
or 
So:
or k 
To make the above inequality true, we set:
or 
So, the set of values of k is:
That is impossible.
For a number to be divisible by 23, it has to be greater than 23.
A number cannot be greater than 23, if you have restricted it to be within the numbers 2 and 10.
Answer:
<em>V = 16x² </em>
<em>Width = 12in</em>
<em>Height = 12in</em>
Step-by-step explanation:
Volume of the box is expressed as;
V = Length *Width * height
Given
Length = 16in
Width = x
Height = x
The volume of the box will be expressed as;
V = 16 * x * x
<em>V = 16x² (This gives the required equation)</em>
To get x:
We are given
V = 2304in³
Substitute;
2304 = 16x²
x² = 2304/16
x² = 144
x= √144
x = 12
<em>Hence the width and the height are both 12inches since they are the same.</em>
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For the sma
