8. (03.02 MC)
1 answer:
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1. The area of the photograph is:
A=LxW
A is the area of the photograph (A=54 in²).
L is the lenght of the photograph (L=12-4x).
W is the widht of the photograph (W=12-2x)
2. When you substitute these values into the formula A=LxW, you obtain:
A=LxW
54=(12-4x)(12-2x)
3. When you apply the distributive property, you have:
54=144-24x-48x+8x²
8x²-72x+144-54=0
4. Finally, you obtain a quadratic equation for the area of the photo:
8x²-72x+90=0
5. Therefore, the answer is:
8x²-72x+90=0
A=LxW
A is the area of the photograph (A=54 in²).
L is the lenght of the photograph (L=12-4x).
W is the widht of the photograph (W=12-2x)
2. When you substitute these values into the formula A=LxW, you obtain:
A=LxW
54=(12-4x)(12-2x)
3. When you apply the distributive property, you have:
54=144-24x-48x+8x²
8x²-72x+144-54=0
4. Finally, you obtain a quadratic equation for the area of the photo:
8x²-72x+90=0
5. Therefore, the answer is:
8x²-72x+90=0
Answer:
The statement is false.
Step-by-step explanation:
Here we need to remember some things:
Integer numbers are closed under multiplication.
This means that for two integers a and b, the product a*b is also an integer.
A rational number is a number that can be written as the quotient of two integer numbers.
An irrational number is a number that can't be written as the quotient of two rational numbers.
Now let's see the statement:
"The product of two rational numbers is irrational."
The product of two rational numbers is written as:
Where a, c, b, and d are integers.
We can rewrite that product as:
Because of the first property, we know that a*c is an integer, and b*d is also an integer, so here we have a quotient of two integer numbers, so this is a rational number.
Then the product of two rational numbers is a rational number.
Then the statement is false.