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1 answer:
Answer: #4 C Domain is x such that x is greater than -1 (all real numbers greater than -1)
#5 B Points C, F & G
Step-by-step explanation: Look at the coordinate of the vertex. It is at (-1, 1) so the -1 is the lowest number in the Domain (running left to right). The attows at the right ends mean that the lines go to infinity. The symbol ∈ means "belongs to" the R (special font not available here) means "all real numbers.
The y-value, 1 is not relevant here, as the Range (up and down, like a mountain range) is infinity, and the arrows keep going forever. ∈R means all real numbers.
For the Triangle: First ,imagine a box with the boundaries matching the domain and range given, so the left side is at -2, the right side is at 6 [Domain] and the top and bottom are at 5 and -1 [Range]
Pick the points that are on the boundary lines. C is at (6,3) on the right boundary, F is at (2,-1) on the bottom boundary and G is at (-2,5) at the corner where the top and left sides meet.
See the attachment below
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Answer:
b = 4.4 feet
Step-by-step explanation:
To find the value of "b", all you need to do is plug the values for "a" and "c" into the pythagorean Theorem and isolate "b".
a² + b² = c² <------ Phythagorean Theorem
9² + b² = 10² <------- Plug in a = 9 and c = 10
81 + b² = 100 <-------- Square both values
b² = 19 <-------- Subtract 81 from both sides
<-------- Square root both sides to remove exponent
b = 4.358...
b = 4.4 feet