'B' and 'D' are correct.
'C' isn't, and we don't know about 'A' because you left it out.
Answer: ![x=2](https://tex.z-dn.net/?f=x%3D2)
Step-by-step explanation:
Given a System of linear equations, the solution of the system is the point
in which the lines intersect, where "x" is the x-coordinate and "y" is the y-coordinate.
Having the following System of equations:
![\left \{ {{9x - 6y = 12} \atop {3x + 2y =8}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B9x%20-%206y%20%3D%2012%7D%20%5Catop%20%7B3x%20%2B%202y%20%3D8%7D%7D%20%5Cright.)
You can use the Elimination method to find the value of "x":
-Multiply the second equation by 3.
- Add the equations.
- Solve for "x".
Then, you get:
![\left \{ {{9x - 6y = 12} \atop {9x +6y =24}} \right.\\.......................\\18x=36\\\\x=\frac{36}{18}\\\\x=2](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B9x%20-%206y%20%3D%2012%7D%20%5Catop%20%7B9x%20%2B6y%20%3D24%7D%7D%20%5Cright.%5C%5C.......................%5C%5C18x%3D36%5C%5C%5C%5Cx%3D%5Cfrac%7B36%7D%7B18%7D%5C%5C%5C%5Cx%3D2)
Answer:
Hector's kite is 61.84 feet from the ground.
Step-by-step explanation:
The angle of elevation of the kite is 42°15’30” when converted to decimals, it is
≅ ![42.26^{0}](https://tex.z-dn.net/?f=42.26%5E%7B0%7D)
Let the height of the kite to the horizontal of angle of elevation be represented as x. Applying the trigonometric function to the sketch of Hector's kite,
Sin θ = ![\frac{opposite}{hypotenus}](https://tex.z-dn.net/?f=%5Cfrac%7Bopposite%7D%7Bhypotenus%7D)
Sin
= ![\frac{x}{86}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B86%7D)
⇒ x = 86 x Sin ![42.26^{0}](https://tex.z-dn.net/?f=42.26%5E%7B0%7D)
= 86 x 0.6725
= 57.835
x ≅ 57.84 feet
The height of Hector's kite from the ground = x + 4
= 57.84 + 4
= 61.84 feet
Answer:
130
Step-by-step explanation:
From the FIQURE of the question, we can see that line "e" is parallel to line "f" then we can say (2x + 18)=( 4x - 14)
Then we can collect like terms
2x-4x= -14-18
-2x=-32
The negatives cancelled out we have
x = 16
From the question, At the intersection of lines b and f, the top right angle is (4 x minus 14) degrees
Angle on a straight line is 180° then we can calculate "y" as
y = 180 - (4x - 14)
= 180-4x+14
= 180+14-4x
But x= 16, then substitute we have
= 180 +14 - 14(16)
= 130
Hence, the value of y is 130
CHECK THE ATTACHMENT FOR THE FIQURE
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