The distance from a point to a line is
distance(ax+by+c=0,(x0,y0)) = abs(ax0+by0+c)/sqrt(a^2+b^2)
So first convert the formula for the line to standard form
5x+2y=4
5x+2y-4=0
a=5, b=2, c=-4, x0=15, y0=-21
abs(5*15+2*(-21)-4)/sqrt(5*5+2*2)
= abs(75-42-4)/sqrt(25+4)
= 29/sqrt(29)
= sqrt(29)
= 5.385165 (approximately)
Answer:
D is the polynomial. A is a binomial with only 2 terms, as is B and C. D is a trinomial with three terms, and is considered a polynomial.
Hope this helps!
Answer:
Step-by-step explanation:
Your equation is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. Your line has a slope of 7. In order to find the line perpendicular to this line, we have to take the opposite reciprocal of the slope. The perpendicular slope to m = 7 is m = -1/7. Now we go through x = -5 and y = 6 to find the new equation.
6 = -1/7(-5) + b gives us
6 = 5/7 + b and
b = 37/7
Therefore, the equation of the line perpendicular to your original line is
Answer:
The answer to this is A and B.
Step-by-step explanation:
A monomial is an expression with one term only such as 3xy, 5x and so on. A binomial is an expression with two terms such as 5x + 3y. A polynomial is an expression with more than 3 terms such as 5x +3y - 6a.
