A = ¹/₂bh
A = ¹/₂(32.5)(12.5)
A = ¹/₂(406.25)
A = 203.125 y²
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.
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<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:
x=1
Step-by-step explanation:
log_4(x + 3) + log_4x = 1
We know that loga(b) + loga(c) = loga(bc)
log_4(x + 3)x = 1
Raise each side to the base of 4
4^log_4(x + 3)x = 4^1
(x+3)x = 4
x^2 +3x = 4
Subtract 4 from each side
x^2 +3x -4 = 0
Factor
(x+4) (x-1) =0
Using the zero product property
x= -4 x=1
But x cannot be negative since logs cannot be negative
x=1
<span>In order to safely aid the traffic flow in the U.S roadways a driver should stay to the right lane if you are traveling slower than other cars. You should never try to keep up with faster traffic over the speed limit nor stay to the left. The left lane is used for faster and passing traffic. By staying to the right, you let the faster cars pass you safely. The correct answer should be B.</span>
I would have to say -0.5 then positive 0.25 because the rule seems to be divide by -2.
