Answer: (b) exactly one plane contains a given line and a point not on the line.
Step-by-step explanation: The basic postulates of geometry are very-well known to all of us. For example-
(i) The intersection of two lines determines a point,
(ii) Two parallel lines give result to a plane,
(iii) A line and a point not on the line determines a plane, etc...
Thus, with the help of the third point, we can easily arrive at the conclusion that a given line and a point not lying on the line is contained in a plane. For example- see the attached figure, AB is a line and P is any point not on the line. They both contained in the plane ABC.
Hence, the correct option is (b).
Answer:
x = 5±2√7
Step-by-step explanation:
This quadratic cannot be factorised via the factorisation method, so we use the quadratic formula :
x = 
or x = 
(The reason I did 2 equations is because brainliest does not allow me to do the ± in the equation insert thing )
x = 
or x = 
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or x= 
x = 
or x = 
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or x = 
Hope this helped and brainliest please
Answer:
$549
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year,
then, solving our equation
I = 3050 × 0.06 × 3 = 549
I = $ 549.00
The simple interest accumulated
on a principal of $ 3,050.00
at a rate of 6% per year
for 3 years is $ 549.00.
Answer:
length = 6 yards
width = 3.5 yards
Step-by-step explanation:
the length of a rectangle is 1 yard less than twice the width
LEt 'w' be the width of the rectangle
and 'l' be the length of the rectangle
length l = 2 times the width -1
so l = 2w -1
Area of the rectangle = length * width
Area = l * w
we know length is 2w-1 and given area = 21
21 = (2w-1) * w
subtract 21 on both sides
now solve for 'w'
0 = 2w(w+3)-7(w+3)
0= (2w-7)(w+3)
2w-7 = 0 and w+3 =0
w = 7/2 w=-3
width cannot be negative so we ignore w=-3
width w= 3.5
length = 2w-1= 2(3.5) - 1= 7-1=6
length = 6 yards
The dimensions of the rectangle are:
Length = 14.75 m
Width = 10.75 m
<h3>What is the Perimeter of a Rectangle?</h3>
The total length of a rectangle is gotten by adding all it's side lengths together. The formula for the perimeter of a rectangle is given as:
Perimeter = 2(length+ width).
The dimensions for a rectangle is given as:
Perimeter = 51 meters
Length of rectangle = L meters
Width of rectangle = (L - 4) meters.
Therefore:
2(L + (L - 4)) = 51
2(L + L - 4) = 51
2(2L - 4) = 51
4L - 8 = 51
4L = 51 + 8
4L = 59
L = 59/4
L = 14.75
Length of rectangle = 14.75 m
Width of rectangle = (L - 4) = 14.75 - 4 = 10.75 m
Learn more about rectangle on:
brainly.com/question/25292087
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