In radical form, the shortest distance from ( -4 , 4 ) and the line y = -2x + 6 is
2√5 units.
Attached below is the calculation to arrive at the answer as well as a graph.
We are given with three lengths of a triangle expressed in terms and variables: (3x – 4) feet, (x^2 – 1) feet, and (2x^2 – 15) feet. The perimeter of the triangle is equal to the sum of the three sides of the triangle. In this case, the sum is 3x^2 + 3x -20. When x is equal to 4, we substitute <span>3*16 + 3*4 -20 equal to 40 feet.</span>
Answer:
The slope of the line is 1/2.
Step-by-step explanation:
2
x
−
4
y
=
10
(Subtract 2
x
from both sides.)
−
4
y
=
−
2
x
+
10
(Divide both sides by -4.)
y
=
−
2
x
−
4
+
10
−
4 (Simplify.)
y
=
1/2
x
−
5
/2
y=1/2
Answer:
x = 81, y = 68 and z = 99
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
z is an exterior angle, thus
z = 63 + 36 = 99
x and z form a straight angle and are supplementary, so
x + z = 180, that is
x + 99 = 180 ( subtract 99 from both sides )
x = 81
The sum of the 3 angles in a triangle = 180°, thus
z + y + 13 = 180, that is
99 + y + 13 = 180
112 + y = 180 ( subtract 112 from both sides )
y = 68
