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 and Step-by-step explanation:
The length of the rectangle is 3 + w (w represents the width).
<u>The polynomial representing the area of the rectangle:</u>
a (area) = w(3 + w) = w^2 + 3w
A)
a = 1
b = 2
c = 3
d = 1
B)
w = 4
(4)^2 + 3(4) = 8 + 12 = 20
e = 20
<u><em>#teamtrees #PAW (Plant And Water)</em></u>
<u><em></em></u>
<u><em>I hope this helps!</em></u>
1) PQ > PR
3) D
4) 2 > 11
5) D > E
10) acute
Answer:
955 in quinary system = 12310
955 in binary system = 1110111011
Step-by-step explanation:
Quinary system is in base 5, that is, 0,1,2,3,4
955 in quinary system
955 ÷ 5 = 191 remainder 0
191 ÷ 5 = 38 remainder 1
38 ÷ 5 = 7 remainder 3
7 ÷ 5 = 1 remainder 2
1 ÷ 5 = 0 remainder 1
In reverse order of the remainder
= 12310
Binary system = 0,1
955 in binary system
955 ÷ 2 = 477 remainder 1
477 ÷ 2 = 238 remainder 1
238 ÷ 2 = 119 remainder 0
119 ÷ 2 = 59 remainder 1
59 ÷ 2 = 29 remainder 1
29 ÷ 2 = 14 remainder 1
14 ÷ 2= 7 remainder 0
7 ÷ 2 = 3 remainder 1
3 ÷ 2 = 1 remainder 1
1 ÷ 2 = 0 remainder 1
In reverse order of the remainder
1110111011
Answer:
A, C, D
Step-by-step explanation:
Solve all equations:
A. 
This is incorrect equality, so the equation has no solutions.
B. 
This is correct equality, so the equation has infinitely many solutions.
C. 
This is incorrect equality, so the equation has no solutions.
D. 
This is incorrect equality, so the equation has no solutions.
