Answer:
Step-by-step explanation:a = m + (p-1)*d
b = m + (q-1)*d
c = m + (r-1)*d
p(b-c) = p*(q-r)*d
q(c-a) = q*(r-p)*d
r(a-b) = r*(p-q)*d
p(b-c)+q(c-a)+r(a-b)
= p*(q-r)*d + q*(r-p)*d +r*(p-q)*d
= (pq-pr+qr-pq+rp-qr)*d
= 0*d = 0
So i prove p(b-c)+q(c-a)+r(a-b)=0 hope this is helpfull
Answer: The 4th Venn diagram. (A and B aren't touching, A and B are touching C though.)
Answer:
132 square millimeters
Step-by-step explanation:
THe <u>lateral area</u> of a rectangular prism is the side areas. That is
all 4 sides of the rectangular prism (that are rectangles each).
So, we find each side area and add them up.
The area of a rectangle is:
Area = length * width
The left side (in gray) is 9 mm x 3mm, so area:
area = 9 * 3 = 27
The right side rectangle is same, so that would have an area of:
area = 9 * 3 = 27
Now, the front side's measurement is 3 x 13, so the area is:
Area = 3 * 13 = 39
THe back is same, so the area would be:
Area = 3 * 13 = 39
<u>Total Surface Area = 27 + 27 + 39 + 39 = 132 square millimeters</u>
Answer:
The number of pies baked in the two years = ( k + 145) pies
Step-by-step explanation:
Here, we are interested in writing an expression for the total number of pies baked in the two years.
Last year, the number of pies baked = 145
This year the number of pies baked = k
Thus, the total number of pies baked in the two years will be ( k + 145) pies
Answer:
A is the correct answer
Step-by-step explanation:
To get the fastest answer for these kind of questions, you just have to apply (0, -2) into either one of the 2 equations:
2 * 0 - 6 * (-2) = 12
0 - (-12) =12
0 + 12 = 12 (TRUE)
So the solution will be (0, -2)
