Answer: ( 11, -2 )
Step-by-step explanation:
The mid point of a line is calculated using the formula:
M = (
, 
)
From the question , the mid point is already given , substituting , we have :
(5 , - 7.5 ) = (
, 
)
Equating the x component to x and the y component to y , we have
5 =
x - 1 = 10
x = 11
Also
- 7.5 =
-15 = y - 13
-15 + 13 = y
Therefore : y = -2
Therefore : the location of point P is ( 11, -2 )
Answer:
The other two sides are 7 units each.
Step-by-step explanation:
The triangle is isosceles.
The sides are in the ratio of
The hypotenuse is
So, the other two sides are 7 units each.
Answer:
43
Step-by-step explanation:
Using the remainder theorem, that is
The remainder on dividing f(x) by (x - h) is the value of f(h)
here division by (x - 3) hence evaluate f(3) for remainder
f(3) = 3² + 14(3) - 8 = 9 + 42 - 8 = 43 ← remainder
Changing the 30 to 10 is a 20 unit drop ( 30-10=20)
so the line would shift vertically down by 20
<span>The line will shift vertically down by $20.</span>
