Where do the equations y=-4x+8 and y=3x+1 meet
1 answer:
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Answer:
substitute that value for x in the polynomial and see if it evaluates to zero
Step-by-step explanation:
A "zero" of a polynomial is a value of the polynomial's variable that make the expression become zero when it is evaluated. As an almost trivial example, consider the polynomial x-3. The value x = 3 is a zero because substituting that value for x makes the expression evaluate as zero.
3 -3 = 0
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Evaluating polynomials can be done different ways. Straight substitution for the variable is one way. Using synthetic division by x-a (where "a" is the value of interest) is another way. This latter method is completely equivalent to rewriting the polynomial to Horner form for evaluation.
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In the attachment, Horner Form is shown at the bottom.
Given
Sofia cuts a piece in the shape of a kite for an art project
top two sides measure 20 cm each
bottom two sides measure 13 cm each.
One diagonal, EG, measures 24 cm
Find out the length of the other diagonal, DF.
To proof
As given in the question and also shown in the diagram shown below
DE = EF = 20cm
DG = GF = 13cm
EG = 24cm
DF = ?
In kite shape
One diagonal is the perpendicular bisector of the other diagonal.
i.e EG is the perpendicular bisector of DF
i.e EG is divided into two equal parts
thus EA = AG = 12cm
in Δ EAF
By applying the pythagorus theorem
we have
EF² = FA²+ EA²
20² = 12² + FA²
400 -144 = FA²
256 =FA²
16cm = FA
Now in Δ DAG
DG² = AG² + DA²
13² = 12 ²+ DA²
169 -144 = DA²
25 = DA²
5cm = DA
Thus diagonal DF = DA + FA
= 5 + 16
= 21cm
Hence proved
