Answer:
51.96 mm² approximately
Step-by-step explanation:
the first thing you should know is that the area of a rectangle is base*height sin of (
the included angle i.e
Arectangle= bh sin90° since all angles of a rectangle are equal then the included angle is 90°
<em>Arectangle= bh sin90° since sin90 is 1 we simply use the equation bh because multiplying bh by one is bh. bearing this in mind , the area of the parallelogram can be calculated as:</em>
Aparallelogram= bh sin of sin of the included angle
Aparallelogram= bh sin of sin of the included angle Aparallelogram=6mm*10mm sin 60°
Aparallelogram= bh sin of sin of the included angle Aparallelogram=6mm*10mm sin 60°Aparallelogram=60mm² * 0.866
Aparallelogram= bh sin of sin of the included angle Aparallelogram=6mm*10mm sin 60°Aparallelogram=60mm² * 0.866Aparallelogram=51.96 mm² approximately
we are given two points as
(1.0, 2.0) and (1.0, 5.0)
so,
(x1, y1)= (1.0 , 2.0)
(x2, y2)= (1.0 , 5.0)
x1=1 , y1=2
x2=1 , y2=5
now, we can use distance formula

now, we can plug values
and we get




so, distance between points is 3...........Answer
Answer:

Step-by-step explanation:

Answer:
D. 1
Step-by-step explanation:
Step 1: Find g of f(x)
g(f(x)) = (x²) - 3
Step 2: Plug in -2 as <em>x</em>
g(f(x))(-2) = (-2)² - 3
g(f(x))(-2) = 4 - 3
g(f(x))(-2) = 1
Answer: m = -5/8
Step-by-step explanation:
The general equation for slope is rise over run, also known as:
m=(y2-y1)/(x2-x1)
From the points (x, y), we can get all the variables we need.
(-1, -7) gives us x1 = -1 and y1 = -7
(-9, -2) gives us x2 = -9 and y2 = -2
If we plug all the values in, we get:
m = (-2 - (-7))/(-9 - (-1))
m = (-2 + 7)/(-9 + 1) the negatives cancel
m = (5)/(-8)
m = -5/8