The correct answer is (-2,1,2,8)
The range are the y- values
The explanation:
The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range.
Hope this helped you :D
In a - 3 = 15, the value of a HAS to be 18.
In a - 3 is greater than or equal to 15, the value of a is any value that is 18 or higher.
We know that
to find the equation of a line i need two points
let
point A-----> (-21,10)
point B-----> (-28,14)
step 1
find the slope m
m=(y2-y1)/(x2-x1)-----> m=(14-10)/(-28+21)----> m=-4/7
step 2
find the equation of a line with
m=-4/7 and the point A (-21,10)
y-y1=m*(x-x1)------> y-10=(-4/7)*(x+21)---> y=(-4/7)x-12+10
y=(-4/7)x-2
step 3
find x intercept
for y=0
y=(-4/7)x-2------> 0=(-4/7)x-2-----> 4/7x=-2----> x=-14/4----> x=-3.5
the x intercept is (-3.5,0)
step 4
find the y intercept
for x=0
y=(-4/7)x-2--------> y=-2
the y intercept is (0,-2)
the answers arethe x intercept is (-3.5,0)the y intercept is (0,-2)
see the attached figure
Answer:
Height = 14.4
Step-by-step explanation:
The diagonals meet at right angles. Interesting property.
The hypotenuse is the side of the rhombus = 15 cm
One of the sides of the small triangles created by the intersection of the diagonals = 24/2 = 12
You can find the other side of the the triangle by using the Pythagorean Theorem
a^2 + b^2 = c^2
c = 15
a = 12
b = ?
12^2 + b^2 = 15^2
144 + b^2 = 225
b^2 = 225 - 144
b^2 = 81
b = 9
The area of this right angle = 9 * 12/2 = 54
There are 4 of them so 4 * 54 = 216
That's the area of the rhombus.
The h= Area / b
b = 15
h = 216/15
h = 14.4
Answer:
122.7792 sq. m
Step-by-step explanation:
diameter= 8.4 m
therefore, radius = r = 4.2 m.......( as radius is 1/2 of diameter)
height = h= 12 m
only the exterior is to painted so the total surface area of the cylinder is taken,
total surface area of cylinder = 2π r( h+r)
=2* 3.14* 4.2*(12+4.2)
=122.7792 sq. m