This is the concept of algebra; given that the height of the house at time t is given by:
h(t)=<span> 400 − 39t − 157e−t/4
the velocity of the house is given by:
dh/dt
velocity of our object is:
dh/dt=-39+1/4*157e^-(t/4)
=-39+157/4 e^(-t/4)
thus the velocity at h=0 will be as follows:
at h=0, the value of t will be:
0=400-39t-157e^(-t/4)
solving for t we get:
t=-5.4 or t=10.1
since we don't have negative time, t=10.1
thus the velocity at this point will be:
dh/dt=-38+1/4*157e^(-10.1/4)
=-38.86 sec
this means that the object dropped by a velocity of 38.86 sec</span>
Answer:
The distance between (-1,5) and (2,5) is √9 or 3.
Step-by-step explanation:
Okay first, just for explaining purposes, let's call the ordered pair (-1,5) letter A and ordered pair (2,5) letter B.
Now to the answer. To start you use the distance formula. which is:
d=√( (x2-x1)²+(y2-y1)²)
Then you solve by plugging the ordered pairs into the formula where -1 from point A is X1 and 5 from point A is Y1. 2 from point B is X2 and 5 from point B is Y2.
When you solve it should look like this:
1. d=√( (x2-x1)²+(y2-y1)²)
2. d=√( (2- -1)²+(5-5)²) *2 minus a negative one means plus so we get 3*
3. d=√( (3)²+(0)²)
4. d=√( 9+0)
5. √9 = 3
The length of the dollhouse is 156 square inches
Since each leg of the large trapezoid is bisected, then HJ is the average of the lengths of KL and NM.
HJ = (KL + NM)/2
2(HJ) = KL + nm
2(5x + 2) = 4x + 1 + 27
10x + 4 = 4x + 28
6x = 24
x = 4
KL = 4x + 1 = 4(4) + 1 = 16 + 1 = 17
Answer: KL = 17
11=27
12=27
13=4
14=16
15=24
16=?
sorry I couldn't solve them all, hope that helped :D
