Answer:
Length= 19cm
Width= 9cm
Step-by-step explanation:
let the length of the rectangle be L cm and its width be W cm.
Perimeter of rectangle= 56cm
2L +2W= 56
L +W= 56 ÷2
L +W= 28
L= 28 -W -----(1)
Area of rectangle= length ×width
LW= 171 -----(2)
Susbt. (1) into (2):
W(28 -W)= 171
28W -W²= 171 <em>(</em><em>expand</em><em>)</em>
W² -28W +171= 0 <em>(</em><em>bring</em><em> </em><em>everything</em><em> </em><em>to</em><em> </em><em>one</em><em> </em><em>side</em><em>)</em>
(W -19)(W-9)= 0 <em>(</em><em>factorise</em><em>)</em>
W-19=0 or W-9=0
W= 19 or W= 9
Subst into (1):
L=28 -19 or L= 28 -9
L=9 or L= 19
Since we usually take the longer side of the rectangle to be its length, L= 19 and hence W=9.
Therefore its length is 19cm and its width is 9cm.
Answer:
x=-5/4 or x=9/4
Step-by-step explanation:
2 - 4x = -7
-4x = -7 - 2
-4x = -9
x = 9/4
or
2 - 4x = 7
-4x = 7-2
-4x = 5
x = -5/4
Rotation being a rigid transformation, does not alter the angle and side lengths after transformation.
The arrow in Figure B will have the same angle measure as Figure A
From the complete question (see attachment), we understand that:
Figure A is rotated 90 degrees clockwise around point (2,2)
Rotation is a rigid transformation
This means that: after the transformation
- Figure A and figure B will have the same side lengths
- Figure A and figure B will have the same measure of angles
The above highlights imply that, the arrow in Figure B will have the same angle measure as Figure A
Read more about rigid transformations at:
brainly.com/question/1761538
For easy calculation first transpose the equation into the y-intercept form then create your table and plot the graph.
If 2x - 6y = 12
then -6y = 12 - 2x
6y = 2x - 12
y = [2 (x - 6)] /6
⇒
y = (x - 6) / 3
The table and graph are attached below.
Answer:
fuigire what
Step-by-step explanation:
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