Answer:
Step-by-step explanation:
We have been given an image of a line segment and we are asked to find the equation of perpendicular bisector of our given line segment in slope-intercept form.
Since we know that the slope of perpendicular line to a given line is negative reciprocal of the slope of the given line.
Let us find the slope of our given line using slope formula.
, where,
= Difference between two y-coordinates,
= Difference between two x-coordinates of same y-coordinates.
Upon substituting the coordinates of points (2,4) and (4,-2) in slope formula we will get,
Now we will find negative reciprocal of 
to get the slope of perpendicular line.
Since point (3,1) lies on the perpendicular line, so we will substitute coordinates of point (3,1) in slope-intercept form of equation 
.
Therefore, the equation of perpendicular line will be 
and option A is the correct choice.
Answer:
The matrix is not invertible.
Step-by-step explanation:
We are given the following matrix in the question:
![A =\left[\begin{array}{ccc}-5&0&1\\-1&3&2\\0&10&6\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-5%260%261%5C%5C-1%263%262%5C%5C0%2610%266%5Cend%7Barray%7D%5Cright%5D)
Condition for invertible matrix:
A matrix is invertible if and only if the the determinant is non-zero.
We can find the determinant of the matrix as:
![|A| = -5[(3)(6)-(2)(10)]-0[(-1)(6)-(2)(0)] + 1[(-1)(10)-(3)(0)]\\|A| = -5(18-20)+(-10)\\|A| = 10-10\\|A| = 0](https://tex.z-dn.net/?f=%7CA%7C%20%3D%20-5%5B%283%29%286%29-%282%29%2810%29%5D-0%5B%28-1%29%286%29-%282%29%280%29%5D%20%2B%201%5B%28-1%29%2810%29-%283%29%280%29%5D%5C%5C%7CA%7C%20%3D%20-5%2818-20%29%2B%28-10%29%5C%5C%7CA%7C%20%3D%2010-10%5C%5C%7CA%7C%20%3D%200)
Since the determinant of the given matrix is zero, the given matrix is not invertible.
Answer:
A
Step-by-step explanation:
2.2 IS GREATER THAN 2.01
The logarithm : 
÷ 
= 4.
<h3>What is logarithm?</h3>
- Logarithm, the exponent or electricity to which a base should be raised to yield a given number.
- Expressed mathematically, x is the logarithm of n to the bottom b if b^x = n, wherein case one writes x = log_b n.
- Logarithms are described because the answers to exponential equations and so are nearly beneficial in any scenario in which one wishes to remedy such equations (together with locating how lengthy it's going to take for a populace to double or for a financial institution stability to attain a given fee with compound interest).
- A logarithm is the electricity to which a number of should be raised so that it will get a few different number.
- For example, the bottom ten logarithm of a hundred is 2, due to the fact ten raised to the electricity of is a hundred: log(100) = 2.
To learn more about logarithm from the given link:
brainly.com/question/28346542
#SPJ13
