Answer:
100 in²
Step-by-step explanation:
The area of the banner is equal to the area of the initial rectangle minus the area of the cutout triangle.
The rectangle has a height of 8 inches and width of 14 inches, so its area is:
A = (8 in) (14 in) = 112 in²
The triangle has a base of 8 inches and a height of 3 inches, so its area is:
A = ½ (8 in) (3 in) = 12 in²
So the area of the banner is 112 in² − 12 in² = 100 in².
For this case we have that by definition:
- <em>The terms of a polynomial expression are those that are composed of coefficients and variables separated by signs of addition and subtraction.
</em>
We then have the following expression:
According to the definition, we can conclude that the first term is given by:
Answer:
The first term of the expression is:
The answer 456 fe
Because it the benefit is doing today
Answer:
12 = f(40)
Step-by-step explanation:
From the given information:
We are being told that:
G = tons per week
p = people in thousands
However, the relation existing between the amount of garbage that is produced by a city with population p can be expressed as:
G = f(p)
Similarly, they said there exists a total population of 40000 persons in the town of Tola. i.e. 40 thousand and also 12 tons of garbage is produced by week i.e. that will be the value for G.
Then, we have:
12 = f(40)
Answer:
5
Step-by-step explanation:
<u>Given</u>:
A = (a, 14-a)
P = (3a, a^2 +13a -11)
the slope of AP is 7
a > 0
<u>Find</u>:
a
<u>Solution</u>:
The slope of AP is ...
m = (Py -Ay)/(Px -Ax)
7 = (a^2 +13a -11 -(14 -a))/(3a -a)
14a = a^2 +14a -25
25 = a^2
a = √25 = 5 . . . . . the positive solution
The value of 'a' is 5.
_____
<em>Check</em>
The point A is (a, 14-a) = (5, 9).
The point P is (3a, a^2 +13a -11) = (15, 79)
The slope of AP is (79 -9)/(15 -5) = 70/10 = 7.
