Twice the difference of a number and 3 is at most 27
2*(n-3) <=27
to solve
distribute
2n -6 <=27
add 6 to each side
2n <=33
divide by 2
n <=33/2
n<= 16 1/2
Answer:
x = 1
Step-by-step explanation:
Given the matrix;
![-2\left[\begin{array}{ccc}x&-1\\3&5\end{array}\right] + \left[\begin{array}{ccc}3&8\\-1&6\end{array}\right] = \left[\begin{array}{ccc}x&10\\-7&-4\end{array}\right]](https://tex.z-dn.net/?f=-2%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%26-1%5C%5C3%265%5Cend%7Barray%7D%5Cright%5D%20%2B%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%268%5C%5C-1%266%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%2610%5C%5C-7%26-4%5Cend%7Barray%7D%5Cright%5D)
Converting to equations
From the first row of each matrices
-2x + 3 = x
Collect the like terms
-2x - x = -3
-3x = -3
x = -3/-3
x = 1
Hence the value of x is 1
To find the area of a triangle, you will times height by base and divide by then divide by two. In this case the height is 22 and the base is 10. 22 times 10 is 220. You then would divided 220 by two, making your answer 110 cm squared.
Answer:
See the explanation below
Step-by-step explanation:
The independent variable is the time of the visit
The dependent variable is the total service charge, this depends on the amount of time spent working in the house
Answer:
Part 1) The draw in the attached figure
Part 2) 
Step-by-step explanation:
Part 1) Draw the described circle
The draw in the attached figure
Part 2) What is the measure of angle ABD
step 1
Find the measure of arc AD
Remember that
----> by complete circle
substitute the given values


step 2
Find the measure of angle ABD
we know that
The measurement of the external angle is the half-difference of the arches that comprise
In this problem
The measure of angle ABD is an external angle
so
![m\angle ABD=\frac{1}{2} [arc\ AD-arc\ AC]](https://tex.z-dn.net/?f=m%5Cangle%20ABD%3D%5Cfrac%7B1%7D%7B2%7D%20%5Barc%5C%20AD-arc%5C%20AC%5D)
substitute the given values
![m\angle ABD=\frac{1}{2} [168^o-68^o]=50^o](https://tex.z-dn.net/?f=m%5Cangle%20ABD%3D%5Cfrac%7B1%7D%7B2%7D%20%5B168%5Eo-68%5Eo%5D%3D50%5Eo)