Answer:
third option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x - 5 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
, then
y =
x + c ← is the partial equation
To find c substitute (- 1, 1) into the partial equation
1 = -
+ c ⇒ c = 1 +
= 
y =
x +
← equation of perpendicular line
Answer:
base = 28 inches ad height = 9 inches
Step-by-step explanation:
The area (A) of a triangle is calculated as
A =
bh ( b is the base and h the height )
Let height = h then b = 2h + 10 = 2(h + 5) and A = 126, thus
2(h + 5) × h = 126, that is
h(h + 5) = 126 ← distribute left side
h² + 5h = 126 ( subtract 126 from both sides )
h² + 5h - 126 = 0 ← in standard form
(h + 14)(h - 9) = 0 ← in factored form
Equate each factor to zero and solve for h
h + 14 = 0 ⇒ h = - 14
h - 9 = 0 ⇒ h = 9
However, h > 0 thus h = 9
height = 9 inches and base = (2 × 9) + 10 = 18 + 10 = 28 inches
Step-by-step explanation:
work is shown and pictured