Answer:
The student is correct.
Step-by-step explanation:
Given that 5x² = 20:
It is true that the value of x = 2 because 2² = 4, and when you multiply 4 with 5, you'll get a product of 20:
5x² = 20
5(2)² = 20
5(4) = 20
20 = 20
Therefore, the student is correct that x = 2.
Answer:
Part 1) The perimeter is 
Part 2) The diagonal is 
Step-by-step explanation:
<u><em>The question in English is</em></u>
You have a rectangle whose base is twice the height and its area is 12
square centimeters. Calculate the perimeter of the rectangle and its diagonal
step 1
Find the dimensions of rectangle
we know that
The area of rectangle is equal to


so
----> equation A
The base is twice the height
so
----> equation B
substitute equation B in equation A

Find the value of b

step 2
Find the perimeter of rectangle
The perimeter is given by

substitute

step 3
Find the diagonal of rectangle
Applying the Pythagorean Theorem

substitute



Answer: 8-a^3
You just simply the expression.
Find the ratio of the given one: 20/200 = 0.1
this means the sugar (y) is 0.1 amount of soda (x)
Multiply the amount of soda by 0.1:
Formula is y = 0.1x