Answer:
The coordinates of point k are (-2.8,-3)
Step-by-step explanation:
we shall use the internal division formula to find the coordinates of point k
Mathematically, the formula is as follows;
Let’s call the coordinates of point k (x,y)
(x , y) = mx2 + nx1/(m + n) , my2 + ny1/(m + n)
From the question;
m = 1 , n = 4
x1 = 4, x2= -2
y1 = -7 , y2 = 13
Substituting these values in the equation, we have the following;
1(-2) + 4(4)/(1 + 4) , 1(13) + 4(-7)/(1+4)
(-2+16)/5, (13 -28)/5
= -14/5, -15/5
= (-2.8, -3)
The circle theoremss that cyclic quadrilaterals can be related to include:
- Every corner of the quadrilateral touches the circumference of the circle.
- The ratio between the diagonals and the sides can be defined.
- The product of the diagonals is equal to the sum of the product of its two pairs of opposite sides.
<h3>What is a cyclic quadrilateral?</h3>
It should be noted that cyclic quadrilateral simply means a quadrilateral that's drawn inside a circle.
In this case, every corner of the quadrilateral must touch the circumference of the circle.
Also, the product of the diagonals is equal to the sum of the product of its two pairs of opposite sides.
Learn more about cyclic quadrilateral on:
brainly.com/question/18807481
#SPJ1
Example...
4^x = 16
log(4^x) = log(16)
x*log(4) = log(16)
x = log(16) / log(4)
<span> f(x) = –81 (4/3) X-1 f(x) = –81 (-3/4) </span>
Answer:
The solutions to the quadratic equations are:
Step-by-step explanation:
Given the function
substitute y = 0 in the equation to determine the zeros
Switch sides
Add 4 to both sides
Simplify
Rewrite in the form (x+a)² = b
But, in order to rewrite in the form x²+2ax+a²
Solve for 'a'
2ax = -6x
a = -3
so add a² = (-3)² to both sides
Apply perfect square formula: (a-b)² = a²-2ab+b²
solve
Add 3 to both sides
Simplify
now solving
Add 3 to both sides
Simplify
Thus, the solutions to the quadratic equations are:
