Answer: At point (
)
Step-by-step explanation: <u>Diagonal</u> is a line uniting two opposite points. In a square, the diagonals intersect in a 90° and bisect each other, i.e., divides each diagonal into two segments of the same length.
In other words, the diagonals of a square meet at their midpoint, which is found as the following:
(x,y) = 
The opposite vertices of the given square are (-2,6) and (1,-7).
So, the intersection is
(x,y) = 
(x,y) = 
The diagonals of square with vertices (-2,6)(6,1)(1,-7)(-7,-2) intersect at point .
a. 5xy - monomial
b. x + 2y² -7 → x, 2y², -7 - trinomial
c. ab - monomial
<h3>d. 2x³ - 7y³ → 2x³, -7y³ - binomial</h3>
Answer:
Step-by-step explanation:
First, you add 66 to both sides so then the equation you are trying to solve will be: 
Finally, you simplify and get:
Hope this helped!
Answer:
x = 0
Step-by-step explanation:
From the intersecting secants theorem, If from an exterior point, we draw two secant segments to a circle, then the product of the length of one secant segment and its external secant part will be equal to the product of the length of the other secant segment and its external secant portion.
Thus, applying it to this question;
(x + 27 + 48) × (x + 27) = (x + 45)²
(x + 75)(x + 27) = x² + 90x + 2025
x² + 102x + 2025 = x² + 90x + 2025
Like terms will cancel put to give;
102x - 90x = 0
12x = 0
x = 0/12
x = 0
Answer:
0.1065
Step-by-step explanation:
Given :
Solution :
Taking natural log both sides
![ln[(3x+1)^5]=ln 4](https://tex.z-dn.net/?f=ln%5B%283x%2B1%29%5E5%5D%3Dln%204)
Property : 
Property : 
Hence the value of x is 0.1065
