Miles has a train collection with 36 engines 72 boxcars and 18 cabooses he wants to arranged the train cars in equal rows with only one type of train car in each row How many can he put in each row.

Answers

Answer 1

Answer: In order to find how many trains can be put in each row while having only one type of car in each row, you must find the GCF of all the numbers of cars.

First factor all three numbers
36 Engines= 2*2*3*3
72 boxcars = 2*2*2*3*3
18 cabooses= 2*3*3

Since each number contains at least 2*3*3, or 18, each row can be up to 18 train cars in length.
In this case, there will be 1 row of cabooses,
18 ÷18=1
2 rows of engines,
36÷18=2
and 4 rows of boxcars
72÷18=4

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What is the opposite of the rational number -2

Answers

The 'opposite' of a number is usually the opposite sign, but same absolute value.

-2 → Opposite is 2

Answer would be: 2

the answer is 2.
the opposite of any number, is it's positive number, so there for the opposite of the rational number -2, is 2.

(hope this helps)

Solve with the quadratic formula
4×^2×+1=0

Answers

Answer:

Either x = + i/2 or x = i/2 is the solution for the given quadratic equation.

Step-by-step explanation:

Here, the given quadratic equation is: $4x^2 + 1 = 0$

Now, comparing the given equation with standard Quadratic Form, $ax^2 + bx + c = 0$

we get,a = 4, b =0 and c = 1

Now, the Quadratic Formula is given as:

$x = (-b \pm √(b^2 - 4ac) )/(2a)$

So, here the solution for the given expression is:

$x = (0 \pm √((0)^2 - 4(4)(1)) )/(2(4)) = x = (0 \pm √(-16) )/(8)\n\implies x = (0 \pm4i)/(8)\n\implies x = (0 + 4i)/(8) = (i)/(2) \nor, x = (0 - 4i)/(8) = (-i)/(2)$

Hence, either x = + i/2 or x = i/2 is the solution for the givenquadratic equation.

Sally's cat is stuck in a tree 18 ft off the ground. The base of a ladder is placed 6 feet away from the base of the tree. What is the minimum length ladder needed to reach the cat (rounded to the nearest foot)?