Answer:
1/48
Decimal Form: 0.02083
Step-by-step explanation:
Answer:
x = 120
y = 30
Step-by-step explanation:
Given that RST is equilateral, each of its interior angles will be 60 degrees
Looking at x, it lies on a starting line with one of the interior angles of RST
The sum of angles on a straight line is 180
Thus;
x + 60 = 180
x = 180-60
x= 120
Looking at triangle RSU, the markings indicates that we have an isosceles triangle
For an isosceles triangle, the base angles are equal in value
This means that SRU is also y
Mathematically, the sum of angles in a triangle is 180
Hence;
x + y + y = 180
x + 2y = 180
120 + 2y= 180
2y = 180-120
2y = 60
y = 60/2
y = 30
Answer:
{x,y,z}={1,3,4}
Step-by-step explanation:
System of Linear Equations given :
[1] x + 3y - 2z = 2
[2] 3x + 2y + z = 13
[3] -2x + 3y - 3z = -5
Solve by Substitution :
// Solve equation [2] for the variable z
[2] z = -3x - 2y + 13
// Plug this in for variable z in equation [1]
[1] x + 3y - 2•(-3x-2y+13) = 2
[1] 7x + 7y = 28
// Plug this in for variable z in equation [3]
[3] -2x + 3y - 3•(-3x-2y+13) = -5
[3] 7x + 9y = 34
// Solve equation [3] for the variable y
[3] 9y = -7x + 34
[3] y = -7x/9 + 34/9
// Plug this in for variable y in equation [1]
[1] 7x + 7•(-7x/9+34/9) = 28
[1] 14x/9 = 14/9
[1] 14x = 14
// Solve equation [1] for the variable x
[1] 14x = 14
[1] x = 1
// By now we know this much :
x = 1
y = -7x/9+34/9
z = -3x-2y+13
// Use the x value to solve for y
y = -(7/9)(1)+34/9 = 3
// Use the x and y values to solve for z
z = -3(1)-2(3)+13 = 4
Solution :
{x,y,z} = {1,3,4}
Answer:
B
Step-by-step explanation:
First, expand the function with FOIL
(3x - 4)(-6x + 5)
(-18x² + 15x + 24x - 20)
Combine like terms
(-18x² + 39x -20)
This is a quadratic function because it has x² and linear functions just have x.
So, B is the answer because it is quadratic and it has the correct quadratic, linear, and constant terms.
