Answer:
see below
Step-by-step explanation:
3x^2 + 17x +10 =0
(3x+ ) ( x+ ) =0
We need to factor 10 = 2*5 or 1*10
They are positive since we have all positive terms
3*5 = 15+2 = 17
The 5 needs to multiply the 3 so it goes on the outside
(3x+ ) ( x+ 5 ) =0
That leaves the 2 on the inside
(3x+ 2 ) ( x+ 5 ) =0
Using the zero product property
3x+2 =0 x+5=0
3x = -2 x=-5
x = -2/3 x = -5
Answer:
15.62 =c
Step-by-step explanation:
pythagorean theorem
a^2 +b^2 =c^2
10^2 + 12^2 = c^2
100 + 144 = c^2
244 = c^2
take the square root of each side
sqrt(244) = c
15.6204995 =c
to the nearest hundredth
15.62 =c
Answer:
y + 8 = x + 10
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 6 = -(x + 7) is in this form with slope m = - 1
given the slope of a line m then the slope of a line perpendicular to it is
= -
= -
= 1
using m = 1 and (a, b) = (- 10, - 8), then
y + 8 = x + 10 ← equation of line k
or y = x + 2 ← in slope- intercept form