1. 7x(x + 3)
7x(x) + 7(3)
7x² + 21
2. (7x + 1)(x + 3)
7x² + 21x + x + 3
7x² + 22x + 3
3. (x² + x)²
(x² + x)(x² + x)
x^4 + x³ + x³ + x²
x^4 + 2x³ + x²
Area = Length x Width
Substituting the given values:
16S^2 t = 8St^2 x Width
Manipulating for Width:
Width = 16S^2 t / <span>8St^2
Rewriting the squared terms in simplified form :
</span>Width = 16 x S x S x t / <span>8 x S x t x t
</span>Cancelling the like terms
Width = 16 x S / <span>8 x t
</span>Cancelling the numeric terms :
Width = 2S / <span>t</span>
Answer: both ways are acceptable
Step-by-step explanation: When writing equations of lines in this form,
we usually keep the "b" value or the constant term as a fraction.
However, if you prefer decimals, you can absolutely change
it to a decimal to visualize is better if you'd like, it's really your choice.
For example, if the equation of a line was y = -3/4x - 7/4, I could leave
it how it is or I could change the -7/4 to -1.75 giving me y = -3/4x - 1.75.
Answer: Your answer is<u> 3.53</u> as a Decimal.
Hope this helps!
Answer
Find out the how long is woman shadow .
To prove
Let us assume that the height = x
Let us assume that the shadow = y
(As shadow increase with the increase in the height.)
x = ky
Where k is constant of proportionality.
As given
A 10 ft tall statue standing next to a woman casts an 18 ft shadow.
10 = k × 18
As given
If the woman is 5 ft tall .
Let us assume that the shadow of woman be s .
Put in the proprtionality equation .
5 = k × s
Compare the value of k .
s = 9 ft
Therefore the shadow of the woman be 9 ft .
Option (C) is correct .
