Answer:
B. a reflection across X axis and then a dilation by a scale factor of 1.5
Step-by-step explanation:
As clear from the graph all the coordinates of image 2 are 1.5 times of image 1 so shape 2 is dilated by the scale factor 1.5.
It is evident from the graph that lines AO and A"O"are parallel to each other so shape 2 is the reflection of shape 1.
Now we calculate the magnitude of line AB
m1 = (y2-y1)/(x2-x1)
=(-3+6)/(-4.5=9)
=3/4.5
=1/1.5
=2/3
Next we calculate magnitude m2 of A"B"
m2= (2-4) /(-3+6)
=(-2/3)
Then we know Tan(180-∅) = -tan∅
similarly if m1=(-m2)
then the one line having magnitude m2 is the rotated image through X axis by 180° of the line having magnitude m1.
So the answer is B.
Answer:
8a over 5
Hope this helps :)
Step-by-step explanation:
Step-by-step explanation:
The area of triangle given as 120 cm2
Area of Triangle = 1/2 x b x h = 120
therefore bxh = 240
240 can be factorized as 10 x 24
The perimeter of the triangle is given as 60
so the other side has to be 26 cm
As this is a right angle triangle it should satisfy pythagoras theorem
(10)2 + (24)2 = (26)2
100+576 =676
Hence the sides of the triangle are 10 cm, 24 cm and 26 cm
Answer:
665
Step-by-step explanation:
The tool bench which has the shape of a rectangle, a 4-sided shape with lengths and width.
The area of a rectangle A is given by the formula;
A = L × B
Where L is the length, B is the width
Given the bench is 35 inches long and 19 Inches wide
L = 35 inches, B = 19 inches
A = 35 × 19 = 665 square inches
The tool bench will cover 665 square inches of the basement floor .
Answer:
-6
Step-by-step explanation:
slope=y2-y1/x2-x1
=-2-4/4-3
=-6/1
=-6
