Answer:
X = 15
Step-by-step explanation:
We move all terms to the left:
<em>x+8+2x-(2x+13)=0</em>
We add all the numbers together, and all the variables:
<em>3x-(2x+13)+8=0</em>
We get rid of parentheses:
<em>3x-2x-13+8=0</em>
We add all the numbers together, and all the variables:
<em>x-5=0</em>
We move all terms containing x to the left, all other terms to the right:
<em>x=5</em>
Answer: x= 2(2+sqrt(10)) , x=2(2-sqrt(10)
Step-by-step explanation:
x^2-8x=24 <- subtract 24 from both sides
x^2-8x-24 <- take quadratic formulat (-2+/- Sqrt(b^2 - 4ac)/2a
-(-8) +/- sqrt((-8)^2 - 4(1*-24) all over (2*1) <- simplify
(-(-8) +/- 4sqrt(10) )/2 <- sepereate
(-(-8) +/4sqrt(10) )/2 , (-(-8) - 4sqrt(10) )/2 <- simplify
2(2+sqrt(10)) , 2(2-sqrt(10) =x
The value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.
<h3>What is the rate of speed?</h3>
The rate of speed is the rate at which the total distance is travelled in the time taken. Rate of speed can be given as,
r=d/t
Here, (d) is the distance travelled by the object and (t) is time taken but the object to cover that distance.
The train traveled 1/3 of the distance at 30 mph and the remaining distance at 40 mph. Let <em>t</em> is the time the train has taken to travel and x is the distance it travelled. Thus,

After two hour a car left the same station traveled the first 3 hours at 35 mph and the remaining distance at 51 mph. Let <em>t</em> is the time the car has taken to travel and x is the distance it travelled. Thus,

As t is same, thus put the value of t in this equation,

Thus, the value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.
Learn more about the rate of speed here:
brainly.com/question/359790
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It looks equivalent.
Do the Pythagorean theorem on the triangle shown.
2.1^2-1.4^2
4.2-1.96=2.24
Sqrt of 2.24 is 1.496 or 1.5
Now multiply this by 2 to get the length of x
HOPE THIS HELPS
Answer:
14x + 2
Step-by-step explanation:
Perimeter = sum of the measures of each side
If a triangle has side lengths of 3x+ 2, 6x, and 5x then the perimeter of that triangle is equal to 3x + 2 + 6x + 5x
Notice that the expression 3x + 2 + 6x + 5x has similar terms so to get the simplist version of the perimeter we would simply combine like terms
3x + 6x + 5x = 14x
The perimeter would = 14x + 2