Answer:
x = 4 and y = -6
Step-by-step explanation:
Solve by elimination by multiplying the first equation by -2:
-8x - 6y = 4
8x + 3y = 14
Add them together and solve for y:
-3y = 18
y = -6
Plug in -6 as y into one of the equations and solve for x:
8x + 3y = 14
8x + 3(-6) = 14
8x - 18 = 14
8x = 32
x = 4
So, the solution is x = 4 and y = -6
Answer:
NP = ![\frac{32}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B32%7D%7B9%7D)
Step-by-step explanation:
Since MP is an angle bisector then it divides the sides/ base in the ratio.
=
, substitute values
=
( cross- multiply )
18NP = 64 ( divide both sides by 18 )
NP =
= ![\frac{32}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B32%7D%7B9%7D)
Answer:
x = 7
Step-by-step explanation:
Note that the line of length 2x - 6 is a mid- line segment as it bisects the 2 sides of the triangle. Accordingly it is half the length of the third side, that is
2x - 6 = 8 ( add 6 to both sides )
2x = 14 ( divide both sides by 2 )
x = 7
Answer:
8) 3420°
Step-by-step explanation:
To find the sum of the interior angles of a polygon, (n-2)180
n being the number of sides.
(21 - 2) 180
19 * 180 = 3420°
Answer:
x = 2 is the axis of symmetry
Step-by-step explanation:
y - 4x = 7 – x2?
y = -x²+4x +7
y = - ((x²- 4x+4)-4)+7
y = - (x-2)²+11 ..... is the the parabola's equation when : x = 2 is the axis of symmetry