Step-by-step explanation:
a = -2
b = 3
c = 5
<h2>Question:</h2>= Solution,
= 3 ( - 2 ) × 5 - ( - 2 ) + 2 × 3
here ... ( + ) × ( - ) = ( - )
= - 6 × 5 - ( - 2 ) + 2 × 3
here .... ( - ) × ( - ) = ( + )
= - 6 × 5 + 2 + 2 × 3
= - 30 + 2 + 6
= - 30 + 8
here the ( - ) have greater variable so...
= - 22
hence - 22 is the answer . ....
Answer:
12 in
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = h(b₁ + b₂ )
where h is the height and b₁, b₂ the parallel bases
Given h = 6, b₁ = 8 and A = 60 , then
× 6 × (8 + b₂ ) = 60 , that is
3(8 + b₂ ) = 60 ( divide both sides by 3 )
8 + b₂ = 20 ( subtract 8 from both sides )
b₂ = 12
The length of the second base is 12 inches
The expression representing the sentence is .
We have a sentence - "3 minus the quotient of x and 4".
We have to determine the expression that represents the sentence.
<h3>Express the statement - "The difference of x and y is equal to an irrational number" in the form of expression.</h3>The expression representing the above statement is -
x - y = π.
According to the question, we have -
3 minus the quotient of x and 4.
Using the Division Algorithm -
x = 4q + r
Substituting r = 0 by introducing decimals in the quotient, we get -
q =
Therefore -
Hence, the expression representing the sentence is .
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Answer:
15 feet
Step-by-step explanation:
The ladder is the hypotenuse of a right triangle, with the legs being 9 ft and 12 ft long (see the picture).
To solve for the length of the ladder, use the Pythagorean Theorem.
