The common difference of the given A.P. is -2.
A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The nth term of an A.P. is given by -
a[n] = a + (n - 1)d
We have the following sequence 10, 8, 6, 4, ... .
We have -
10, 8, 6, 4, ...
The common difference of the given A.P. is -
d = 8 - 10 = 6 - 8 = 4 - 6
d = - 2
Therefore, the common difference of the given A.P. is -2.
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Answer:
-2
Step-by-step explanation:
10-8=2
8-6=2
6-4=2
4-2=2
HELP
4 ft
/60
HINT: Find the height using TRIGONOMETRY. Round to the nearest hundredth.
A =
feet squared
The area of the parallelogram is given by A = 17.32 feet²
Given data ,
Let the area of the parallelogram be represented as A
Now , the value of A is
Let the height of the parallelogram be h
where from the trigonometric relation , we get
sin 60° = h / 4
On simplifying , we get
h = 4 ( √3/2 )
h = 2√3 feet
Now , the area of parallelogram = base x height
A = 2√3 ( 5 ) feet²
A = 10√3 feet²
A = 17.32 feet²
Hence , the parallelogram has an area of A = 17.32 feet²
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ft3 Do NOT put units in your answer.
Answer:
The answer is 232
Step-by-step explanation:
4
Answer:
x = 4 + 2 sqrt(5) or x = 4 - 2 sqrt(5)
thus :
8
Step-by-step explanation:
Solve for x over the real numbers:
x^2 - 8 x - 4 = 0
Hint: | Solve the quadratic equation by completing the square.
Add 4 to both sides:
x^2 - 8 x = 4
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 16 to both sides:
x^2 - 8 x + 16 = 20
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x - 4)^2 = 20
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 4 = 2 sqrt(5) or x - 4 = -2 sqrt(5)
Hint: | Look at the first equation: Solve for x.
Add 4 to both sides:
x = 4 + 2 sqrt(5) or x - 4 = -2 sqrt(5)
Hint: | Look at the second equation: Solve for x.
Add 4 to both sides:
Answer: x = 4 + 2 sqrt(5) or x = 4 - 2 sqrt(5)
Answer:
-8 or option A
Step-by-step explanation:
2023
i thing the answer is D the last chart
.4
.5
.6
D
.3
С
.5
.7
D
Þ(B and D) = [?]
ter
Answer:
0.35
Step-by-step explanation:
.5x.7