Answer:
5
Step-by-step explanation:
33p is separated into 3p and 2p
4 more 2p than 3p
5 3 points
9 2 points
Answer:
x^2 + 18x + 76 + 5 = 0 + 5
Step-by-step explanation:
The first step is to determine the constant that is needed to be able to write the expression in the desired form. That constant is the square of half the x-term coefficient: (18/2)^2 = 9^2 = 81.
The constant that is present is 76, which is 5 fewer than the needed constant, so the "first step" is to add 5 to both sides of the equation:
x^2 + 18x + 76 + 5 = 0 + 5
Then the next step would be to write the left side as a square:
(x +9)^2 = 5 . . . . . . . p = -9; q= 5
Answer:
2√42 ≈ 12.961
Step-by-step explanation:
All of the right triangles are similar, so ...
short leg/long leg = BC/AC = AC/CD
AC² = BC·CD = 7·24 = 168
AC = √168 = 2√42
Answer:
D. The sum of twice number and six is no more than five.
Step-by-step explanation:
In the inequality,
The number (n) is multiplied by (2), therefore options (A) and (B) can be ruled out since they have the statement, "twice the sum of a number and six". Moreover, one can see the inequality sign indicates that this value is less than or equal to (5). Thus, one of the possible solutions to this equation is (5), therefore, option (C) is incorrect. Therefore, the only remaining correction option is option (D).
Simplify the following:
2^3 (4×36/12 + 1/4)
4×36/12 = (4×36)/12:
2^3 ((4×36)/12 + 1/4)
2^3 = 2×2^2:
2×2^2 ((4×36)/12 + 1/4)
2^2 = 4:
2×4 ((4×36)/12 + 1/4)
2×4 = 8:
8 ((4×36)/12 + 1/4)
36/12 = (12×3)/12 = 3:
8 (4×3 + 1/4)
4×3 = 12:
8 (12 + 1/4)
Put 1/4 + 12 over the common denominator 4. 1/4 + 12 = 1/4 + (4×12)/4:
8 1/4 + (4×12)/4
4×12 = 48:
8 (1/4 + 48/4)
1/4 + 48/4 = (1 + 48)/4:
8 (1 + 48)/4
1 + 48 = 49:
8×49/4
8×49/4 = (8×49)/4:
(8×49)/4
8/4 = (4×2)/4 = 2:
2×49
2×49 = 98:
Answer: 98
