<em>kx</em> + <em>z</em> = 3 means <em>z</em> = 3 - <em>kx</em>. Substitute this into the first two equations:
<em>x</em> + <em>y</em> + 3 (3 - <em>kx</em>) = 10 ==> (1 - 3<em>k</em>) <em>x</em> + <em>y</em> = 1
-4<em>x</em> + 3<em>y</em> + 5 (3 - <em>kx</em>) = 7 ==> (-4 - 5<em>k</em>) <em>x</em> + 3<em>y</em> = -8
Multiply through the first equation by -3 :
-3 ((1 - 3<em>k</em>) <em>x</em> + <em>y</em>) = -3 (1) ==> (-3 + 9<em>k</em>) <em>x</em> - 3<em>y</em> = -3
Add this to the second equation to eliminate <em>y</em> :
((-3 + 9<em>k</em>) <em>x</em> - 3<em>y</em>) + ((-4 - 5<em>k</em>) <em>x</em> + 3<em>y</em>) = -3 + (-8)
(-7 + 4<em>k</em>) <em>x</em> = -11
Normally, you would solve for <em>x</em> by dividing both sides by -7 + 4<em>k</em>. But you can't do that if this turns out to be equal to 0, which happens for
-7 + 4<em>k</em> = 0 ==> <em>k</em> = 7/4
Look it up after opening up a new tab
Horses:5x4=20 legs
Chickens: 6x2=12 legs
32 legs altogether
To convert cm³ to m³, you can break down the units.
cm³ = cm x cm x cm
Each cm is converted to m so :
m³ = m x m x m
= 1/100 x 1/100 x 1/100
= 0.000001
So, 1cm³ is 0.000001m³, so to convert cm³ to m³ you divide your value by 1,000,000 and vice versa.
1. 0.35m³
2. 8m³
3. 43.34m³
4. 30m³
5. 0.77m³
Answer:
55 inches.
Step-by-step explanation:
So, in the question above we are given the following data or parameters or information which will assist us in solving this kind of question efficiently. Here are the information needed below;
(1). "Television sizes are labeled by the measure of the diagonal.''
(2). "47.5 inches up top and the side is 27 inches" which are the length and the breadth respectively. Therefore, we will make use of the formula below In solving this question;
Size of the Television = √[(Length of the Television)^2 × (breadth of the television)^2].
Hence, the size of the Television = √( 47.5)^2 + (27)^2. = 54.63744137494.
Approximately:
The Size of the Television = 55 inches.