Can someone help me with this plsssss
1 answer:
Answer:
15 cm
Step-by-step explanation:
Given:
The two cylinders shown in the figure are similar to each other.
Therefore, when two figures are similar their measures are in proportion.
So, radius and height of both the cylinders are in proportion.
Radius of both the cylinders are 2 cm and 5 cm respectively. Height of the smaller cylinder is 5 cm. Now,
Doing cross multiply, we get:
Dividing both sides by 2, we get:
Therefore, the height of the larger cylinder must be 15 cm in order to make both the cylinders similar to each other.
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Here is your system of equations:
When solving a system of equations, you can either eliminate or substitute, however, I will be substituting since that's what the question is asking.
In the first equation, if y is equal to x - 6, I can substitute it with the y in the second equation with 8x + 1.
Here is your new equation:
Since you have variables on both sides, you have to cancel it on either side. In the equation on the left, the variable is x. To cancel it out, you have to do the opposite of it, which is -x, or negative x. That means you have to subtract x to both equations.
Now you have one variable and two regular integers. You have to leave the variable x alone to find its value. Along with it is +1, or positive 1. To remove it, you have to do the opposite of it, which is -1 or subtract 1.
- Remember that when you subtract from a negative number, the number will increase but the sign will stay negative.
Now you need x to stay alone, so divide both sides by 7.
Remember:
NEGATIVES
- Negative(-) times(×) negative(-) = positive(+)
- Negative(-) times(×) positive(+) = negative(-)
- Negative(-) divided(÷) by positive(+) = negative(-)
- Negative(-) divided(÷) by negative(-) = positive(+)
POSITIVES
- Positive(+) times(×) positive(+) = positive(+)
- Positive(-) times(×) negative(-) = negative(-)
- Positive(+) divided(÷) by positive(+) = positive(+)
- Positive(+) divided(÷) by negative(-) = negative(-)
Now that you have the value of x, you can substitute it with the x in one of the equations.
Subtract -1 by 6:
That means y is equal to -7.
Your answer is (-1, -7).