...Every even # squared. 2^2=4, 4^2=16, 6^2=36, 8^2=64, 10^2=100.....
Pattern continued...4,16,36,64,100,144,196,256,324,400
Answer:
623 mm
Step-by-step explanation:
Divide the figure into two separate figures and then add the ares together. To do this, the bottom nust be a rectangle and the top a square. The dimensions of the rectangle will be 32 x 15 since the opposite sides of a rectangle are always equivalent. The dimensions of the top shape are 13 x 11 since the 26 - 15 = 11.
So now find the area of the rectangles and add them together:
15 x 32 = 480
13 x 11 = 143
143 + 480 = 623
The area of the figure is 623 mm
Answer:
(-2, 10)
Step-by-step explanation:
Our equations are:
-6x - y = 8
x + 3y = 29
Let's multiply the second equation by 12:
12 * (x + 3y) = 12 * 29
6x + 36y = 348
Now, add this new equation to the first equation:
6x + 36y = 348
+ -6x - y = 8
_______________
(36 - 2/5)y = 356
36 - 2/5 = 180/5 - 2/5 = 178/5
Divide both sides by 178/5:
y = 356 / (178/5) = 356 * (5/178) = 10
Plug this back into one of the original equations to get x:
(1/2)x + 3y = 29
(1/2)x + 3 * 10 = 29
(1/2)x = -1
x = -2
The answer is (-2, 10).
Hope this helps!
<h2>Steps</h2>
So for this system, one equation will represent the number of fruit and the other equation will represent the combined total of the fruit. (Let x = apples and y = bananas):
Next, I will be using the substitution method to remove one of the variables. To do this, firstly subtract both sides by y in the first equation:
Next, since we know that x is equal to 20 - y, substitute it into the second equation and solve for y:
Now that we have the value of y, substitute it into either equation to solve for x:
<h2>Answer</h2>
<u>In short, Angelo bough 14 apples and 6 bananas.</u>
Answer:
The answer is -6x + 6
Step-by-step explanation:
For us to have an infinite number of solutions, then, what we have on the right hand side will be exactly what we have on the left hand side
Since we have -6x + 6 on the left hand side
To have infinite number of solutions, what we have on the right hand side will be the same
Thus, we have -6x + 6 on the second side