Answer:
Step-by-step explanation:
this is a 45-45-90 triangle. The angle opposite the 45° angle is also 45°.
HI = HJ because this is an isosceles triangle.
Use the cos function to find the length of HJ:
cos Ф = adj / hyp or adj = (hyp)(cos Ф).
1
Here we have adj = HI = HJ = 4√5 cos 45° = 4√5 · -----
√2, or 4√5 / √2
4√10
This last result simplifies to ----------
2
or 2√10 (answer)
The length of side HJ and that of HI is 2/√10.
Answer:
19/12
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*(2*x-6)-(10*x-6)=0
2x - 6 = 2 • (x - 3)
8 • (x - 3) - (10x - 6) = 0 -2x - 18 = -2 • (x + 9)
-2 • (x + 9) = 0 Solve : -2 = 0
<span>This equation has no solution.
</span>A a non-zero constant never equals zero.
Solving a Single Variable Equation :
Solve :
x+9 = 0 <span>
</span>Subtract 9 from both sides of the equation :<span>
</span> x = -9
The population of a town has approximately doubled every 17 years since 1950.
the equation P=
where Po is the population of the town in 1950, is used to model the population, P, of the town t years after 1950.
When t=17 yrs
P=2
for 1 year
The equation becomes
P = 
-------------(1)
Our original equation is
----------------------------------(2)
equating expression 1 and 2
Cancelling 
from both sides we get
t/17=k
⇒k=t/17 is the solution.
