Answer:
The coordinates of the image of vertex P after reflection is (-7, 4)
Step-by-step explanation:
Given that we are to reflect the point P across the x-axis, we have;
Reflection of a point across the x-axis gives;
When a point is reflected across the x axis, the y-coordinate changes to the opposite sign while the x-coordinate remains unchanged such that (x, y) becomes (x, -y)
Therefore, given that the point P = (-7, -4), we have;
Coordinates of point P before reflection Reflection = (-7, -4), coordinates of point P after reflection Reflection P' = (-7, 4).
Answer:
A
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
BC² = 9² + 12² = 81 + 144 = 225 ( take the square root of both sides )
BC = 
= 15 → A
9514 1404 393
Answer:
7. $10,459.28
8. $30,060.93
Step-by-step explanation:
Your table 12-2 will tell you the present-value multiplier of the annual payment for a 10-year annuity due will be ...
7%: 7.515232
11%: 6.537048
__
7. The 11% table value will be used with a payment of $1600 to find the present value:
6.537048 × $1600 = $10,459.28 . . . present value of the annuity due
__
8. The 7% table value will be used with a payment of $4000 to find the present value:
7.515232 × $4000 = $30,060.93 . . . present value of the annuity due
XY = xZ
85b + 83 = 91b - 283
Subtract 85b from both sides:
83 = 6b - 283
Add 283 to both sides:
6b = 366
Divide both sides by 6:
B = 61
Now replace b with 61 and solve for the length:
85(61) + 83
5185 + 83 = 5268
The length is 5,268
Answer:
19.4 cm
Step-by-step explanation:
Divide the Area by the length to find the width
