Answer:
x1 = 275 miles (shorter)
x2 = 318 miles (longer)
Step-by-step explanation:
Let
x1 = be the shorter route
v1 = speed of the car in the shorter route
t1 = time it took to cover shorter route
x2 = the longer route
v2 = speed of the car in the longer route
t2 = time it took to cover longer route
x1 + 43 = x2 (1)
v2 = v1 -2 (2)
v2 = x2/t2 = x2/6
v1 = x1/t1 = x1/5
This means that
v2 = v1 -2 =>
x2/6 = x1/5 -2
The system of equations results
a. x1 -x2 = -43
b. x1/5 - x2/6 = 2
Solving this system of equations, we find that
x1 = 275 miles
x2 = 318 miles
Answer:
The number of seashells he have in his collection all together is 140.
Step-by-step explanation:
Given:
Stanley has a collection of seashells. He found 35% of his collection on Florida beaches.
Stanley has 49 seashells from Florida.
Now, to find the number of seashells of his collection altogether.
Let the number of seashells all together be 
Percentage of seashells found on Florida beaches = 35%.
Number of seashells found on Florida beaches = 49.
Now, to get the number of seashells altogether we put an equation:
⇒ 
⇒ 
⇒ 
Dividing both sides by 0.35 we get:
⇒ 
Therefore, the number of seashells he have in his collection all together is 140.
16 n^2 -10n + 129 = 8n^2 -8
We collect the terms:
8n^2 -10n + 137 = 0
The steps for completing the square:
1) Move the "non X" (or "non N") term to the right:
8n^2 -10n = -137
<span>2)<span> Divide the equation by the coefficient of N² which in this case is 8
n^2 -1.2n = </span></span><span><span>-17.125
</span>
3) Take the coefficient of "N"; divide it by 2; square it; add it to both sides of the equation.
-1.2 / 2 = -.6
-.6^2 = .36
</span>
n^2 -1.2n +.36 = <span>-17.125
+.36
Take the square root of both sides:</span>
(n-.6)*(n-.6) = sq root(
<span>
<span>
<span>
-16.765
</span>
</span>
</span>
)
That's about as far as I can go.
Answer:
20√2=28.2842....
Step-by-step explanation:
special right traingles
a 45-45-90 states that the legs are congruent and the hypotenuse is leg√2
<span>a.p({a,b,{a,b}}) is the answer
</span>
