Answer:
(11, 13)
Step-by-step explanation:
Carolyn's work is incorrect. Below is the correct solution:
Given:
----› Equation 1
-----› Equation 2
Substitute y = (x + 2) in equation 1
----› Equation 1
(substitution)
(distributive property)
[Note: this is where Carolyn made a mistake]
Collect like terms
(addition property of equality).
Substitute x = 11 in equation 2
-----› Equation 2
(substitution)
✅The solution to the system of equations would be:
(11, 13)
Answer:
should be 66.4
Step-by-step explanation:
<u>triangular prism:</u>
Using the formulas
AB=s(s﹣a)(s﹣b)(s﹣c)
V=ABh
s=a+b+c
2
Solving forV
V=1
4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=1
4·3·﹣24+2·(2·2)2+2·(2·2)2﹣24+2·(2·2)2﹣24≈5.19615
5.2 · 2 = 10.4
<u>Rectangular prism:</u>
<u>V=whl=2·2·14=56</u>
<u />
<u>10.4+56=66.4</u>
Answer:
B) f(x) = x if x ≤ -2
2 if x > -2
Step-by-step explanation:
B) f(x) = x if x ≤ -2 (The x and y coordinate have the same value)
2 if x > -2
Answer:
-9
Step-by-step explanation:
(-4-2*-1/2)3
(-4+1)3
-3*3
-9
Since a cube has 6 sides, we can divide 294 by 6, so we have the area of one side. Since it is a cube, we can just square root that, and you get 7 cm.
