Answer:
a) )12,6)
b) (12,2)
c) (4,-7)
d) (9,-7)
Step-by-step explanation:
a) Dilation
When we dilate, we multiply the given scale factor by each of the coordinates
We have this as follows;
(20 * 3/5, 10 * 3/5) = (12, 6)
2. Here, we will add 5 to the x-axis value and subtract 6 from the y-axis value
We have this as;
(7+ 5, 8-6) = (12,2)
3. By reflecting across the x-axis
we have (x,y) changing to (x,-y)
so we have ;
(4,7) becomes (4,-7)
4. Rotation by 270 degrees (7,9)
If clockwise;
(x,y) becomes (y,-x)
so we have
(7,9) becoming (9,-7)
Answer:
170ft^2
Step-by-step explanation:
We need to find the areas of the partitioned areas and then add them to get the total area of the complex figure.
The area of the rectangle can be found by A = lw
The area of the triangle can be found by A = (1/2)*bh
We have already been given the length of the rectangle.
The base of the triangle is 22ft - 12ft = 10ft.
Since this is a 45-45-90 triangle, we can also say that the dashed line is also 10ft long, and this also represents the width of the rectangle.
This means that the height of the triangle and the width of the rectangle are both 10ft.
Area of rectangle = lw
A = 12ft * 10ft
A = 120ft^2
Area of triangle = (1/2)*bh
A = (1/2) * 10ft * 10ft
A = (1/2) * 100ft^2
A = 50ft^2
The total area of the figure is 120ft^2 + 50ft^2 = 170ft^2.
Answer:
b) 15 winners
Step-by-step explanation
if 3 winners get $720,000 each that means there is $2,160,000 total. So if each winner gets $144,000 each that means there are 15 winners.
(2,160,000/ 144,000)
0.0015 in scientific notation
= 1.5 × 10-3
Answer:
4i+j-2k
Step-by-step explanation:
The missing figure in this problem as been attached, as we can see the figure is a 3-D figure consisting of rods with point C and B.
Using the figure we can find the value of position vector
r=-
As we know , a position vector is the difference of position vector of ending point to the position vector of starting point, here the starting point is C and ending point is B. Hence, the expression above.
We need to first find and
Using the figure:
=0i+4j+2k
= -4i+3j+4k
r=-=(0i+4j+2k) - (-4i+3j+4k)
r=4i+j-2k (feet)
Magnitude of ===4.583 ft