Step-by-step explanation:
vector AB(3-(-6); 5-7)
vector AB(9;-2)
AB= 
= 
M is the midpoint of AB
we have B(-5;10) and M(1;7)
let A(x;y)
(x-5)/2 = 1 ⇒ x-5 = 2⇒ x = 7
(10=y)/2 = 7⇒ 10+y = 14 ⇒y= 4
so : A(7;4)
the center of the circle is the midponit of the line joining both ends of the diameter
let A(x;y) be the other end
(-2+x)/2 = 2 ⇒ -2+x = 4⇒ x= 6
(5=y) = -1 ⇒ 5+y = -2 ⇒ y= -7
so the coordinates of the other end are (6; -7)
A,B and C are collinear such as AB=BC so b is the midpoint of AC
(-5+1)/2 = y ⇒ y = -4/2 ⇒ y = -2
((-3=x)/2 = 7 ⇒ -3+x = 14 ⇒ x = 17
so x= 17 and y = -2
Answer:
Part c
Step-by-step explanation:
In quadratic equations of real coefficients, the complex roots always occur in conjugate bases. It means, if, 2 + 3i is one of the roots and then the second root must be 2 - 3i.
Answer:
3 people attended the banquet
Step-by-step explanation:
The function is given as:
b = 75 + 15n where
b represents the total = 122
n represents the number of people attending = ??
If the total cost of the banquet is 122, how many people attended the banquet?
Hence,
122 = 75 + 15n
122 - 75 = 15n
47 = 15n
Divide both sides by 15
n = 47/15
n = 3.1333333333
Approximately to the nearest whole number = 3
Therefore, 3 people attended the banquet.
Answer:
The value of x is 12.
Step-by-step explanation:
In order to find the value of x, we first need to find the scale factor. We can find this by dividing any side of the larger triangle with the corresponding part of the smaller triangle.
28/7 = 4
This means everything in the larger triangle is 4 times as great as the smaller triangle. Knowing this, we can set the larger hypotenuse equal to 4 times the smaller.
6x + 28 = 4(25)
6x + 28 = 100
6x = 72
x = 12
