Answer is 5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4 (second one) ...this one is using <span>Associative Property of Multiplication</span>
Answer:
12: 138
13: 35
14: 49
Step-by-step explanation:
12: 180-42=138
13: 360-297-28=35
13: 90-41=49
The equation of a sphere centered at (h, j, k) with radius r is
... (x -h)² +(y -j)² +(z -k)² = r²
Your sphere has center (-9, 4, 1) and radius 4, so its equation is
... (x +9)² +(y -4)² +(z -1)² = 16
This can be written in general form as
... x² + y² + z² +18x -8y -2z +82 = 0
Answer:
no solution
Step-by-step explanation:
Answer:
Left to right: Zoe, Johana, Kami, Craig
Step-by-step explanation:
The values of x can be found by solving each of the equations.
A) x/-12 -2 = -22 ⇒ x = -12(-22 +2) = 240 . . . (first step: add 2)
B) 3x -21 = 15 ⇒ x = (15 +21)/3 = 12
C) -12x +2 = -22 ⇒ x = (-22 -2)/-12 = 2 . . . (first step: subtract 2)
D) 1/2x +66 = 126 ⇒ x = 2(126 -66) = 120
__
Zoe's equation requires adding 2 as the first step. It is equation A.
Craig's equation's solution is half that of Zoe's. 240/2 = 120. Craig's is equation D.
Kami's equation requires subtracting 2 as the first step. It is equation C.
Johana's equation's solution is 6 times that of Kami's. 6·2 = 12. Johana's is equation B.
The names that go in the blanks, left-to-right, are ...
Zoe, Johana, Kami, Craig