y = - x - 1
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange - 7x + 5y = 12 into this form
add 7x to both sides
5y = 7x + 12 ( divide all terms by 5 )
y = x + ← in slope- intercept form
with slope m =
given a line with slope m then the slope of a line perpendicular to it is
perpendicular slope = - = -
The partial equation of the perpendicular line is
y = - x + c
to find c substitute (- 7, 4 ) into the partial equation
4 = 5 + c ⇒ c = 4 - 5 = - 1
y = - x - 1 ← in slope- intercept form
Answer:
a) 16
b) Using is more accurate because it represents the exact and full value of pi, rather than an estimation or approximation like 3.14.
Step-by-step explanation:
The formula to find the volume of a cone is . We know the radius is 6, so all we need to find is the height, h. By using the Pythagorean theorem, we can see that the height is , or 8. Plugging in all the values into the formula gives us:
V =
V = 16
Hope this helped! :)
Answer:
42 + 42 + z = 180
Step-by-step explanation:
Note that:
Base angles in an isosceles triangle are equal in measure.
The sum of angles in a triangle is 180°.
Thus, the equation would be
42 + 42 + z = 180
Answer:
Step-by-step explanation:
2x^2- 19xy+ 24y^2
24y^2+ 2x^2-19xy
put them in order by the lowering of the exponent. it is unable to be simplified