Answer:
Option A
Step-by-step explanation:
We are given that
Scale factor=2
Center of dilation=(0,0)
Point A(0,2) and point B (2,0).
Slope of line f=
Substitute the values
Slope of line f=
Distance between A and Origin (0,0) is given by
Using distance formula
OB=
Length of OA'=2OA=2(2)=4 units
Length of OB'=2(OB)=2(2)=4 units
x-intercept of line f' at x=4
y-intercept of line f' at y=4
Therefore, the points A' and B' are given by
(0,4) and (4,0)
Slope of line f'=
Slope of line f and f' are equal.Therefore, lines f and f' are parallel.
Option A is true.
Answer:
Step-by-step explanation:
Because the trapezoid is isosceles, the two diagonals are congruent. This can be shown by ASA.
ACD = BDC Properties of parallel lines.
DC = DC A line is equal to itself
DBA = CAB Property of parallel lines.
AC = DB Parts of Congruent triangles are congruent
3x + 15 = 7x - 9 Add 9 to both sides
3x + 15 + 9 = 7x
3x + 24 = 7x Subtract 3x from both sides.
24 = 7x - 3x
24 = 4x Divide by 4
24/4 = 4x/4
x = 6
In order to solve this you need to do the original price - the sold price and figure the difference.
90-180= <span>£</span>18
therefore making it 20% of a profit sale.
Answer:
d. (9,-260°)
Step-by-step explanation:
100° = 100-360 = -260°
Answer:
The values for expression is h = - 2 and k = 5
Step-by-step explanation:
Given algebraic expression can be written as :
2 x³ - 10 x² + 11 x - 7 = ( x - 4 ) × ( 2 x² + h x + 3 ) + k
Now opening the bracket
Or, 2 x³ - 10 x² + 11 x - 7 = x × ( 2 x² + h x + 3 ) - 4 × ( 2 x² + h x + 3 ) + k
Or, 2 x³ - 10 x² + 11 x - 7 = 2 x³ + h x² + 3 x - 2 x² - 4 h x - 12 +k
Or , 2 x³ - 10 x² + 11 x - 7 = 2 x³ + ( h - 2 ) x² + ( 3 - 4 h ) x - 12 + k
Now, equating the equation both sides
I.e - 10 = ( h - 2 )
Or , h - 2 = - 10
I.e , h = - 10 + 2
∴ h = - 2
Again , 11 = ( 3 - 4 h )
or, 11 = 3 - 4 h
or, 11 - 3 = - 4 h
or, 8 = - 4 h
∴ h = 
I.e h = - 2
Again
- 7 = - 12 + k
Or, k = - 7 + 12
∴ k = 5
Hence The values for expression is h = - 2 and k = 5 . Answer
