Answer:
Step-by-step explanation:
Given:
Required
Rewrite in vertex form
The vertex form of an equation is in form of:
Solving:
Subtract 2 from both sides
Factorize expression on the right hand side by dividing through by the coefficient of x²
Get a perfect square of coefficient of x; then add to both sides
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<em>Rough work</em>
The coefficient of x is
It's square is
Adding inside the bracket of to give:
To balance the equation, the same expression must be added to the other side of the equation;
Equivalent expression is:
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The expression becomes
Factorize the expression on the right hand side
Make y the subject of formula
<em>Solved</em>
Answer:
113.1cm
Step-by-step explanation:
area= r²
r= half the diameter r=6
a=6²
a=36
a=113.1 cm
Answer:
20°
Step-by-step explanation:
One way of doing this is to find the constant of proportionality, k:
8k + 6k + 4k = 90° Then 18k = 90°, and k turns out to be 90/18, or 5.
Then the angles are 8(5), 6(5) and 4(5). The smallest of these angles is thus 20°
B/C = K/L because they are similar