Given that ΔBDA is similar to ΔBDC and:
AD≡DC
AB≡BC
BD≡BD (shared side)
then the best postulate to use is the side-side-side (SSS) postulate.
Answer: SSS
Step-by-step explanation:
2^(2x) - 5(2^x) = -4
(2^x)^2 - 5(2^x) = -4
Substitute 2^x = z --> x = ln(z)/ln(2)
z^2 - 5z = -4
z^2 - 5z + 4 = 0
(z - 1)(z - 4) = 0
z = 1 --> x = ln(1)/ln(2) = 0
z = 4 --> x = ln(4)/ln(2) = 2
Answer:
288
Step-by-step explanation:
Find the 18 on the x axis. Go up to the line. Then go left and you will be at 288 on the y axis.
You can also divide a known coordinate to find the rate of change, since the graph is proportional. Use (6, 96). y/x = rate of change
96/6 = 16.
Now multiply 18 and 16 to get the number of cookies.
18 x 16 = 288
<u>Define x:</u>
Let the cost of the ball be x.
Ball = x
Bat = x + 0.1
<u>The total cost is $1.10:</u>
x + x + 0.1 = 1.1
2x + 0.1 = 1.1
2x = 1
x = 0.5
<u>Find the cost of the bat and the ball:</u>
ball = x = $0.50
bat = x + 0.1 = 0.5 + 0.1 = $0.60
Answer: The ball cost $0.50
Answer:
1. 5b^2-b-2 (so option 3)
2. 4x-1 (so option 2)
Step-by-step explanation:
For the first one you need to just simplify the expression
For the second one you need to combine like terms
