Answer:
The shortest height is 36 inches
Step-by-step explanation:
Here in this question, we want to know the shortest height with which boxes of 12 inches tall staked will be the same height with which boxes of 18 inches staked beside it
This is a question that has to do with multiples; In other words, we are simply looking for the lowest common multiple of 12 and 18;
The multiples of both are as follows;
12 - 12, 24,36,48,60•••••
18-18,36,54,72••••••
We can see that at the point 36, both have their first multiple match
So we can say that the lowest common multiple of 18 and 12 is 36
We start with:
y=2x-15
y=5x
Now, we have a perfectly set-up variable we can get rid of: <em>y.</em>
But we need to make either the top or bottom equation negative, so for simplicity, let's make the bottom one negative.
y=2x-15
(-y)=(-5x)
Now simplify.
-3x-15=0
Add 3x on both sides.
3x=15
Divide by 3 on both sides.
x=5
Answer:
Step-by-step explanation:
Let's call B at the base of the triangle and call h at the height of the triangle. Then we know that:
The height of a triangle is 5 cm shorter than its base. This means that:
.
The area of the triangle is 25 cm²
By definition the area of a triangle is:
For this triangle we know that 
and . We substitute these values in the equation and solve for B.
Now we use the quadratic formula to solve the equation.
For an equation of the form 
the quadratic formula is:
In this case note that: 
Then:
The solutions are:
For this problem we take the positive solution.
Now we substitute the value of B in the equation to find the height h
Answer:
X=2
Step-by-step explanation:
Ratios
4:x = 24:12
24:12 reduced is 2:1
Therefore we can see x must be half of 4.
So the answer is 2
Hope this helps! :)
pls mark brainiest
Answer:
The second graph is the correct graph
Step-by-step explanation:
