Answer:
Equation: y = -2x + 2
Step-by-step explanation:
given coordinates: (-1, 4) , (2, -2)
Find the slope: (y2-y1)/(x2-x1)
: (-2-4)/(2--1)
: -6/3
: -2 ...........this is the slope,(m) of the line
Find equation using: y - y1 = m ( x - x1 )
: y - 4 = -2 ( x - -1)
: y - 4 = -2x -2
: y = -2x + 2
Answer:
15 ways
Step-by-step explanation:
The events "choosing one out of 5 chemists" and "choosing one out of 3 statisticians" are independent, and, therefore, the number of ways that both positions can be filled is determined by the product of the number of ways that each event can occur:
The college can fill these positions in 15 different ways.
By solving a linear equation we will see that the value of x is 10.
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</h3><h3>How to find the value of x?</h3>
Remember that for any triangle, the sum of all internal angles is always equal to 180°.
Here only look at triangle BCD, we know that:
m∠DBC = m∠ABC = 3x
m∠BCD = m∠ACB + m∠ABD = 2x + 65°
m∠ADC = 65°
Now we can write the linear equation as:
3x + 2x + 65° + 65° = 180°
5x + 130° = 180°
5x = 180° - 130°
5x = 50°
x = 50°/5 = 10°
The value of x is 10.
Learn more about triangles:
brainly.com/question/14285697
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A point (a, b) in the second Quadrant, is any point where a is negative and b is positive.
For example (-3, 5), (-189, 14) etc are all points in the 2.Quadrant
Rotating a point P(x, y) in the second Quadrant 180° counterclockwise, means rotating 180° counterclockwise about the origin, which maps point P to P'(-a, -b) in the fourth Quadrant.