Answer:
90° rotational symmetry about the poiy(-1,0)
The expression 9p − 8q for p = 4 and q = −8 is equal to 100
<h3><u>Solution:</u></h3>
Given that we have to evaluate expression for the given values of the variables
Expression is:
⇒ 9p − 8q
Given that p = 4 and q = -8
<em><u>Let us substitute the given values of p = 4 and q = -8 in given expression and evaluate it</u></em>
⇒ 9p − 8q = 9(4) - 8(-8)
⇒ 9p - 8q = 9(4) + 8(8)
Upon multiplying the terms we get,
⇒ 9p - 8q = 36 + 64 = 100
Thus the expression is equal to 100
Answer:
291.05ft²
Step-by-step explanation:
Volume of the aquarium = L³
L is the length of one side of the aquarium
444 = L³
L = cuberoot[444]
L= 7.63ft
Since the glass aquarium is opened at the top
Total surface Area = 5L²
Total surface Area = 5(7.63)²
Total surface Area = 291.05ft²
Hence the minimum exterior surface area of the aquarium is 291.05ft²
Answer:
48
Step-by-step explanation:
the number of shirts are 3, number of pants 4, number of socks pairs 2 and 2 pairs of shoes.
first lets start with shirts and pants, number of unique combinations are,
(for each shirt there are 4 different pant combinations) = 
=12
similiarly for each shirt pant pair there are 2 shoes and 2 socks pairs.
thus, total number of combinations are=
= 48
