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
The answer would be 0.3 * 15 = 4.5
Each angle on a triangle pertains to the opposite side
so let’s start by solving the equations:
6 + 4 = 10
2(6) - 3 = 9
3(6) - 10 = 8
then order then look at what each of the sides is opposite to:
10 = A
9 = B
8 = C
so from smallest to largest the angles are C, B, A
Answer: Width = 3cm
Length = 8cm
Step-by-step explanation:
Length = x+5 cm
Width = xcm
Area = 24cm²
Area of a rectangle = length × width
x × (x + 5) = 24
x² + 5x = 24
x² + 5x - 24 = 0
x² + 8x - 3x - 24 = 0
x(x + 8) - 3(x + 8) = 0
x - 3 = 0
x = 3
Width = 3cm
Since length = x + 5 = 3 + 5 = 8cm
Length = 8cm
