Answer:
Alex can only draw a rectangle with an area of 11 cm²
The reason for the answer is that 11 is a prime number
Step-by-step explanation:
We are told that Alex is drawing rectangles with different areas on a centimeter grid, and he can draw 3 different rectangles with an area of 12 cm²
We have the minimum grid length of centimeters = 1 cm, since we assume that only integers can be used.
That is to say:
12 = 1 x 12
12 = 2 x 6
12 = 3 x 4
These are the 3 different rectangles with an area of 12 cm²
Now we have to find how many rectangles Alex could draw with an area of 11 cm²
11 = 1 x 11
Therefore, only one factorization is possible. Which means that you can only draw a rectangle with an area of 11 cm²
The reason for the answer is that 11 is a prime number, which means only the common factor of 1 and the number itself, that is, 11.
Answer:
Conversion rates US Dollar / Mexican Peso
10 USD 209.37500 MXN
20 USD 418.75000 MXN
50 USD 1046.87500 MXN
100 USD 2093.75000 MXN
Answer: The length and width are 20 square centimeters and 8 square centimeters
Explain: 20:8 can be reduced to 5:2 as a ratio. 20 times 8 equals 160.
Answer:
y = -2x + 12
Step-by-step explanation:
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
I will use the first point (1, 10) and the last point (5, 2)
Plug in these values:
(2 - 10) / (5 - 1)
Simplify the parentheses.
= (-8) / (4)
Simplify the fraction.
-8/4
= -2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -2x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the last point (5, 2). Plug in the x and y values into the x and y of the standard equation.
2 = -2(5) + b
To find b, multiply the slope and the input of x(5)
2 = -10 + b
Now, add 10 to both sides to isolate b.
12 = b
Plug this into your standard equation.
y = -2x + 12
This is your equation.
Check this by plugging in the other point you have not checked yet (1, 10).
y = -2x + 12
10 = -2(1) + 12
10 = -2 + 12
10 = 10
Your equation is correct.
Hope this helps!
Sn = n/2 (a1+an)
= 8/2 (3-38)
= 4 (-35)
= -140