Tom is spending more on tax totaling 23.54
while his cousin is only spending 18.72
How to get tax with percent take base price ex:22+ 7%
transform percent into a decimal : .07
now multiply the decimal times base price : 22x0.07
tax is a $1.54 now add that to your base price 22
and you get your total $23.54
The line equation for its slope and one point is:
y - y1 = m(x - x1)
m is the slope, x1, y1 are the point coordinates, so lets substitute:
y - 4 = (1/2)(x - 2)
y = <span>(1/2)x + 3</span>
Answer: y = one sixteenth(x − 4)^2 + 2
Step-by-step explanation:
If the parabola is written as:
y = a*x^2 + b*x + c
then if the graph opens up, then a must be positive, so we can discard the third and fourth options, we remain with:
y = 1/6*(x - 4)^2 + 2 = 1/6x^2 - (8/6)*x + (16/6 + 2)
y = 1/6*(x + 4)^2 - 2 = 1/6x^2 + (8/6)*x + (16/6 - 2)
the vertex (4, 2)
then
x = -b/2a = 4.
this means that a and b must be of different sign, then the only correct option can be:
y = 1/6*(x - 4)^2 + 2 = 1/6x^2 - (8/6)*x + (16/6 + 2)
where:
x-vertex = (8/6)/(2/6) = 4 as we wanted.
when we evaluate this function in x = 4 we get
y = 1/6*( 4 - 4)^2 + 2 = 2.
So the correct option must be: y = one sixteenth(x − 4)2 + 2
Answer:
<h2>
The solution to the system of equation is x = 8, y = 13</h2>
Step-by-step explanation:
The system of equation using matrix equation can be solved using crammers rule. Given the equation;
7x-4y=4
10x-6y=2
The equation will be rewritten in the format AX = B
matrix A will be 2*2 matrix
X will be a column matrix containing the variables
B will be a column matrix
![\left[\begin{array}{cc}7&-4\\10&-6\\\end{array}\right] \left[\begin{array}{c}x&y\\\\\end{array}\right] = \right] \left[\begin{array}{c}4&2\\\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D7%26-4%5C%5C10%26-6%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%26y%5C%5C%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D4%262%5C%5C%5C%5C%5Cend%7Barray%7D%5Cright%5D)
first we will find the determinant of the matrix A
To get the value of x, we will substitute the column matrix at the right hand side to replace the first column pf matrix A, then we look for the determinant and divide the determinant by the determinant of matrix A itself.
![|X|=\left[\begin{array}{cc}4&-4\\2&-6\\\end{array}\right]\\|X|= -24+8\\|X|=-16](https://tex.z-dn.net/?f=%7CX%7C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D4%26-4%5C%5C2%26-6%5C%5C%5Cend%7Barray%7D%5Cright%5D%5C%5C%7CX%7C%3D%20-24%2B8%5C%5C%7CX%7C%3D-16)
x = |X|/|A|
x = -16/-2
x = 8
Similarly for y, we will substitute the column matrix at the right hand side to replace the second column of matrix A, then we look for the determinant and divide the determinant by the determinant of matrix A itself.
![|Y|=\left[\begin{array}{cc}7&4\\10&2\\\end{array}\right]\\|Y|= 14-40\\|Y|=-26](https://tex.z-dn.net/?f=%7CY%7C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D7%264%5C%5C10%262%5C%5C%5Cend%7Barray%7D%5Cright%5D%5C%5C%7CY%7C%3D%2014-40%5C%5C%7CY%7C%3D-26)
y = |Y|/|A|
y = -26/-2
y = 13
The solution to the system of equation is x = 8, y = 13
The measure of third angle is 70 degree
<h3><u>
Solution:</u></h3>
Given that, a navel distress signal flag is in the shape of a triangle
Two of the three angles measure 55 degrees each
We know that there are three angles in triangle
The angle sum property of a triangle states that the angles of a triangle always add up to 180°
Every triangle has three angles and whether it is an acute, obtuse, or right triangle, the angles sum to 180°
Let three angles be "A", "B", "C"
Given that two angles measure 55 degrees each. Let say angle A = angle B = 55
<em><u>By angle sum property of triangle,</u></em>
Angle A + angle B + angle C = 180 degree
55 + 55 + angle C = 180
110 + angle C = 180
angle C = 180 - 110 = 70 degree
Thus the measure of third angle is 70 degree
