Answer:
the area of the mat = total area added minus the original area of the water color painting.
length of the mat is:
L = 21 in + 3 in + 3 in because 3 in is added to each side
L = 27 inwidth of the mat is:w = 11 in + 3 in + 3 inw = 17in
Area mat = (27 in x 17 in) - ( 21 in x 27 in)
area mat = 108 sq in is the area of the mat
T=5
4=2+2/5t
Subtract 2 from both sides.
2=2/5t
Multiply both sides by 5/2.
t=5
I think answer is A
Because slope=rise/run
Rise is 3
Run is 2
But it will be negative because of the direction of slope
Odd integers are 2 apart from each other (in between them is an even number)
x and x+2 is answer
3. The correct answer is 2) 3m² - 6.
(2m² + 3m - 4) + (m² - 3m - 2) Given
2m² + m² These numbers are like terms, because they both end in m².
3m² Since m² can also be written as 1m², and 2 + 1 = 3, this is the sum of 2m² and m² (1m²).
3m + (-3m) These numbers are like terms, because they both end in m. -3m is negative because it was being subtracted.
0 Since we're adding a negative, it's the same as subtracting something. 3m - 3m is 0.
-4 + (-2) These numbers are like terms, because they are both simple integers with no variable. Once again, we're adding a negative because it was being subtracted.
-6 -4 + (-2) is the same as -4 - 2, which is -6. Remember that when you're subtracting from a negative, the number seems to become larger. For instance, 1 - 1 is 0, but -1 - 1 is -2.
3m² - 6 Put all of the terms together. We don't have to write out 0, because 0 is the same as nothing.
5. This one is a bit unclear, but I think that the correct answer is 2) II and IV. The slope formula can be written as y = mx + b, where m is the slope and b is the y-intercept, or the place where the line crosses the y-axis. In this equation, b is 2, which is a positive number, so the y-intercept shifts upward. This means that the answer is either 2 or 3. As for |x - 6|, the way this is written makes the equation somewhat confusing. I believe that the bars are meant as absolute value bars, which, put simply, turn negatives into positives. This means that this part is x + 6, so the line shifts to the right. However, if they were intended as parentheses, the line would shift to the left, because we're subtracting 6 from x. I'm almost certain those were intended as absolute value bars, though, so I think that the answer is 2.
Hope this helps!
