Answer: OPTION A.
Step-by-step explanation:
First you must calculate the lenght of the side DF by applying the Pythagorean theorem, as following:

Now you can find sin(E) as you can see below:

Where:

Then:


Rules: (-) plus (-) equals positive.
Anything negative in absolute value will turn positive. Example, | -2 | —> 2
|-4b-8|+|-1 -b^2| +2b^3; b=-2
First step is substituting all the “b” to -2.
|-4(-2) -8| + |-1 -(-2)^2| +2(-2)^3
Then start solving.
|8-8| + |-1 -(4)| +2(-8)
|0| + |-5| -16
0 +5 -16= -11
Answer: -11
(0,5.25)(10,13.75)
slope(m) = (y2 - y1) / (x2 - x1)
slope(m) = (13.75 - 5.25) / (10 - 0) = 8.5/10 = 0.85
y = mx + b
(0,5.25)...x = 0 and y = 5.25
slope(m) = 0.85
now we sub, we r looking for b, the y int
5.25 = 0.85(0) + b
5.25 = b
so ur equation is : y = 0.85x + 5.25 or C(t) = 0.85t + 5.25 <==
cost of a 12 min taxi ride.....sub in 12 for t
C(t) = 0.85t + 5.25
C(12) = 0.85(12) +5.25
C(12) = 10.20 + 5.25 = 15.45
so a 12 min ride would cost u : $ 15.45 <==
Answer:
a < -4
Step-by-step explanation:
Step 1: Write out inequality
-2a - 5 > 3
Step 2: Add 5 to both sides
-2a > 8
Step 3: Divide both sides by -2
a < -4
Here, we can see that any value of <em>a </em>less than -4 works. So <em>a</em> could be -124 or -5, or even -1271293587923857 and it would work.
Answer:
Square root of 29.
Step-by-step explanation:
Distance = sqrt(2^2 + (-5)^2)
= sqrt 29.