Answer:
y = -2x + 27
Step-by-step explanation:
Firstly, we shall need to reform the given line equation;
y-7 = 1/2 ( x + 2)
y - 7 = x/2 + 1
y = x/2 + 1 + 8
y = x/2 + 8
Comparing this with y = mx + c
where m is the slope, then the slope of the line is 1/2
Since the line we are looking for has a slope perpendicular to this line, it means that the product of their slopes is -1
m1 * m2 = -1
1/2 * m2 = -1
m2 = -2
So we want an equation with slope -2 passing through (6,15)
we use the point slope method here;
y-y1 = m(x-x1)
y-15 = -2(x-6)
y-15 = -2x + 12
y= -2x + 12 + 15
y = -2x + 27
Answer:
perimeter-
perimeter outer rectangle = 2 (l+b)
=2×8+9
= 2×17
2×17 =34 cm sq.
perimeter of inner rectangle = 2 (l+b)
= 2×5+3
=2× 8
= 16 cm sq.
perimeter of shaded portion= 34 - 16
= 18 cm sq.
area-
<em>area</em><em> </em><em>of</em><em> </em><em> </em><em>inner</em><em> </em> rectangle =l×b
l×b = 3×5
3×5=15
15 cm sq.
area of outer rectangle =l×b
l×b= 9×8
9×8= 72
72 cm sq.
area of shaded portion = 72 -15 =57 cm sq.
hey there! In second method i have done first area of inner rectangle but you have to do first area of outer rectangle...
hope it helps you....
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Answer:
b ≈ 2.7
Step-by-step explanation:
The missing angle A is ...
A = 180° -53° -80° = 47°
The law of sines tells you ...
b/sin(B) = a/sin(A)
b = sin(80°)×2/sin(47°) ≈ 2.6931
Side b is about 2.7 units.