Which graph best represents the solution to the system of equations shown below?
2 answers:
Answer:
Option 2
Step-by-step explanation:
The system of equations consists of equations
y = -4x + 19 --------(1)
y = 2x + 1 ---------(2)
Now equating both the equations for the values of y
-4x + 19 = 2x + 1
-2x - 4x + 19 = 1
-6x = 1 - 19
-6x = -18
x =
x = 3
from equation (1) y = -4(3) + 19
= -12 + 19
= 7
Therefore, solution of the system of the equations is (3, 7)
This solution of the system of equation has been given in graph (2)
Therefore, Option (2) is the answer.
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Answer:
≈ 20.8 ft
Step-by-step explanation:
A right triangle is formed between the wall, the ground and the ladder.
The ladder is the hypotenuse , the wall and ground are the legs.
let h be the height of the wall, then using Pythagoras' identity
h² + 33² = 39²
h² + 1089 = 1521 ( subtract 1089 from both sides )
h² = 432 ( take the square root of both sides )
h = ≈ 20.8 ft ( to the nearest tenth )