9514 1404 393
Answer:
18 square units
Step-by-step explanation:
Referring to the figure, we see that the base AB has a slope of 1, and the altitude CD has a slope of -1. The number of unit squares crossed by these segments are, respectively 6 and 3, so the length of each is ...
AB = 6√2
CD =3√2
The area is half the product of the base (AB) and height (CD) so is ...
A = 1/2bh = (1/2)(6√2)(3√2) = 18
The area of ΔABC is 18 square units.
_____
<em>Additional comment</em>
It is useful to remember that the diagonal of a unit square is √2. We used that fact here. If you need to figure it using the Pythagorean theorem, you find ...
c² = a² +b²
c = 1² +1² = 2
c = √2
Answer:
<em>The numbers between -5 and 5</em>
Step-by-step explanation:
Intersection of Intervals
Given the intervals A,B,C,etc. The intersection of them all is the set of all values that are common to all the intervals.
We must find

which is the intersection between the intervals x > -5 and x < 5. The intersection represents all the numbers greater than -5 and less than 5. It can also be said The numbers between -5 and 5 (non inclusive), third option
Answer:
C
Step-by-step explanation:
Using the rules of logarithms
loga + logb = log(ab)
loga - logb = log(
)
log
⇔ nlogx
Given
4lnx + ln3 - lnx
= 3lnx + ln3
= lnx³ + ln3
= ln(x³ × 3)
= ln(3x³) → C