Odd number probability: 13/25
Multiple of five probability: 4/25
Answer:
Step-by-step explanation:
A quadratic equation is given to us and we need to solve the equation using the quadratic formula . The given equation is ,
Open the brackets in RHS ,
Transpose all the terms to LHS ,
The general form of a quadratic equation is ax² + bx + c = 0 , and the roots of the equation by the Quadratic Formula ( Shreedhacharya's Formula ) is given by ,
Using the quadratic formula , we have ,
Simplify ,
Answer:
If one angle of a triangle is 110 deg and the other two angles are both 35 deg, then the figure is an obtuse isosceles triangle.
Answer:
m= -3/2
Step-by-step explanation:
First, we must find the slope of the line given. We are given the equation:
y-2/3x=2
We must get this equation in slope-intercept form: y=mx+b (where m is the slope and b is the y-intercept). In order to do this, we must get y isolated.
2/3x is being subtracted from y. We want to preform the inverse, so we should add 2/3x to both sides.
y-2/3x+2/3x=2+2/3x
y=2+2/3x
Rearrange the terms.
y= 2/3x+2
Now the equation is in slope intercept form. (y=mx+b). 2/3 and x are being multiplied, so we know that the slope is 2/3.
Now, we have to find the perpendicular slope. Perpendicular lines have negative reciprocal slopes.
1. Negative
m=2/3
Negate the slope.
m= -2/3
2. Reciprocal
m= -2/3
Flip the numerator (top number) and denominator (bottom number).
m= -3/2
The perpendicular slope is -3/2
