The correct answer is line q
Answer:
infinitely many
Step-by-step explanation:
i can have a rectangle whose length is extremely close to 0 (ie 1 X 10⁻⁴⁴⁴⁴⁴⁴⁴⁴)
and have an extremely wide width. But it's still a rectangle that has perimeter 60.
Answer:
B
Step-by-step explanation:
Answer:
The number is 4.
Step-by-step explanation:
We can answer the above question as follow:
The square of a number, x is written as: x²
Eight times the number is written as: 8x
From the question, we were told that the square of the number, x is 16 less than eight times the number. This can be written as:
x² = 8x – 16
Rearrange
x² – 8x + 16 = 0
Solving by factorisation method:
Multiply the 1st term (i.e x²) and the last term (i.e 16) together. The result is 16x² as shown below:
x² × 16 = 16x².
Next, find two factors of 16x² such that when we add them together, it will result to the 2nd term ( i.e – 8x).
The factors are –4x and –4x.
Next, replace – 8x in the equation with –4x and –4x. This is illustrated below:
x² – 8x + 16 = 0
x² – 4x – 4x + 16 = 0
Factorise
x(x – 4) – 4(x – 4) = 0
(x – 4)(x – 4) = 0
x – 4 = 0 or x – 4 = 0
x = 4 or x = 4
Thus, the number is 4.
***** Check *****
x² = 8x – 16
x = 4
4² = 8(4) – 16
16 = 32 – 16
16 = 16
From the graph we can observe the following characteristics:
a) The graph is rising towards the left and falling towards the right. Since the two ends of the graph are in opposite direction, the degree of the polynomial which is represented by the graph will be odd. In case of even degree, the both ends face the same direction.
b) The coefficient of the polynomial must be negative. Only in this case the graph will fall towards right and rise towards left. In case of a positive coefficient, the graph falls towards left and rise towards right.
So, the polynomial represented by above graph will have negative coefficient and odd degree, which is represented by option C.
So, the answer to this question is C
