D is equivalent because brackets don’t change anything here
P(x) - q(x) = x²-1 -5(x-1)
= x²-1-5x+5
=x²-5x+4
Answer:
<em>AB = 5√2</em>
<em>AC = √145</em>
<em>BC = √65</em>
Step-by-step explanation:
Using the formula for calculating the distance between two points
D = √(x2-x1)²+(y2-y1)²
For AB A(-3,6),B(2,1),
AB = √(2+3)²+(1-6)²
AB = √(5)²+(-5)²
AB = √25+25
AB = √50
<em>AB = 5√2</em>
For AC A(-3,6) and C(9,5)
AC = √(9+3)²+(5-6)²
AC = √(12)²+(-1)²
AC = √144+1
<em>AC = √145</em>
For BC B(2,1), and C(9,5)
BC = √(9-2)²+(5-1)²
BC = √(7)²+(4)²
BC = √49+16
<em>BC = √65</em>
<em></em>
<em>Since All the sides are difference, hence triangle ABC is a scalene triangle</em>
Answer:
82°
Step-by-step explanation:
i. 8x +26 = angle 5 (corresponding angles)
ii. angle 5 = -9x + 179 ( vertically opposite angles)
so,
8x+26= -9x +179 (from i and ii)
or, 17x= 153
therefore, x= 9
now,
angle3 + 8x +26= 180° (linear pair)
angle 3 = 180°- 72-26
hence, angle 3= 82°
