Answer:
C, D, E
Step-by-step explanation:
The numbers of marbles are:
- Janae - m;
- Jerome - m;
- Gwen - 4(m+2);
- John - 8m+4.
Janae, Jerome, and Gwen combined have
m + m + 4(m+2) = m + m +4m + 8 =6m + 8 marbles.
If John has more marbles than Janae, Jerome, and Gwen combined, then
So, possible answers are
- Janae and Jerome each have 3 marbles;
- Janae and Jerome each have 4 marbles;
- Janae and Jerome each have 5 marbles.
Answer:
Step-by-step explanation:
The parent function denotes the simplest function (free from any horizontal/vertical stretch/compression) that represents a family of functions. In this case the term 1/4 indicates a horizontal stretch and should be removed to find the parent function of . From here we're in simplest form, since 
or others represent a completely different family of functions and cannot be obtained from horizontal/vertical stretches/compressions.
A = side^2 * (2 + 2sqrt2))
A = 4^2 * (2 + 2sqrt2))
A = 77.25 cm^2
Answer:
C
Step-by-step explanation:
In a Pythagorean triple the square on the longest side is equal to the sum of the squares on the other 2 sides.
A
longest side = 10 ⇒ 10² = 100
6² + 8² = 36 + 64 = 100
A is a Pythagorean triple
B
longest side = 17 ⇒ 17² = 289
8² + 15² = 64 + 225 = 289
B is a Pythagorean triple
C
longest side = 9 ⇒ 9² = 81
5² + 8² = 25 + 64 = 89
89 ≠ 81
C is not a Pythagorean triple
D
longest side = 13 ⇒ 13² = 169
5² + 12² = 25 + 144 = 169
D is a Pythagorean triple
