For perpendicular lines, m2 = -1/m1.
For line -x + 5y = 14 => 5y = x + 14 => y = 1/5 x + 14/5 => slope = 1/5
m2 = -1 / (1/5) = -5
Required equation is y - (-2) = -5(x - (-5))
y + 2 = -5(x + 5)
5x + y = -25 - 2
5x + y = -27
Cos(5/12)=65.4
It won't let me do short anwser
Answer:
105 cm²
Step-by-step explanation:
The figure is composed of a rectangle and a triangle
area of rectangle = 15 × 6 = 90 cm²
area of triangle =
bh ( b is the base and h the height )
Here b = 15 - 9 = 6 and h = 11 - 6 = 5 , thus
area of triangle =
× 6 × 5 = 3 × 5 = 15 cm²
Total area = 90 + 15 = 105 cm²
Answer:

Step-by-step explanation:
Plug 1 in as t

Simplify the exponent 3*1

Cube the 2

Multiply:

Simplify:

Answer:
Step-by-step explanation:
given that on a six-question multiple-choice test there are five possible answers for each question, of which one is correct and four are incorrect
By mere guessing probability for choosing correct answer = p = 0.2
also each question is independent of the other
Hence if X is the number of correct questions then
X is binomial with p = 0.2 and n = 6
a) being correct on three questions,
=
(b) being correct on four questions,
= 
(c) being correct on all six questions
=