Solve the Problem $A = \frac { 1 } { 2 } b h$

question 3

Multiple Choice

Solve the problem.
-If the formula for the area of a triangle, $A = \frac { 1 } { 2 } b h$ , is solved for $h$ , then $h = \frac { 2 A } { b }$ . Use this formula to find $h$ if area A is $\frac { 2 y + 1 } { 8 }$ square feet and base $b$ is $\frac { 3 y - 5 } { 11 }$ feet. Write $h$ in simplified form.

• A) \(\frac { 4 ( 3 y - 5 ) } { 11 ( 2 y + 1 ) } \mathrm { ft }\)
• B) \(\frac { ( 2 \mathrm { y } + 1 ) ( 3 \mathrm { y } - 5 ) } { 44 } \mathrm { ft }\)
• C) \(\frac { 11 ( 2 y + 1 ) } { 8 ( 3 y - 5 ) } \mathrm { ft }\)
• D) \(\frac { 11 ( 2 y + 1 ) } { 4 ( 3 y - 5 ) } \mathrm { ft }\)

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Definitions:

Second Messenger

A substance inside a cell that acts as a signal molecule in response to an external stimulus, transmitting the message initiated by the first messenger.

Neuroendocrine Signaling

Neuroendocrine cells produce neurohormones that are transported down axons and released into the interstitial fluid.

cAMP

Cyclic Adenosine Monophosphate, known as a secondary messenger, plays a crucial role in numerous biological functions, particularly in controlling metabolism.

Parathyroid Hormone

A hormone secreted by the parathyroid glands that regulates calcium levels in a person's body.