Answer:
[8.6,oo)
Step-by-step explanation:
The hypotenuse is equal to the square of the other two sides. The length of AC from the diagram is 21.9feet
<h3>Application of pythagoras theorem</h3>
The theorem states that the square of the hypotenuse is equal to the square of the other two sides
Given the following
Hypotenuse = 26 feet = CD
Base side = AD = 14ft
Required
Length AC
Use the theorem
26^2 = 14^2 + AC^2
AC^2 = 676 - 196
AC^2 = 480
AC = 21.9feet
Hence the length of AC from the diagram is 21.9feet
Learn more on pythagoras theorem here: brainly.com/question/343682
Answer:
3/8 and 1/5
Step-by-step explanation:
If the scale factor is 1 then it stays the same. If it's larger than 1 then is gets larger, so the fractions, which are smaller than 1, would make it shorter.
hope this helped :)
Answer:
<u><em> 4 • (2a + 3b) • (2a - 3b)</em></u>
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
(16 • (a2)) - (22•32b2)
Step 2 :
Equation at the end of step 2 :
24a2 - (22•32b2)
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
16a2 - 36b2 = 4 • (4a2 - 9b2)
Trying to factor as a Difference of Squares :
4.2 Factoring: 4a2 - 9b2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 4 is the square of 2
Check : 9 is the square of 3
Check : a2 is the square of a1
Check : b2 is the square of b1
Factorization is : (2a + 3b) • (2a - 3b)
Final result :
4 • (2a + 3b) • (2a - 3b)
<span>x + 2y = 62
3x - y = 116
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put the system of linear equations into standard form
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x + 2y = 62
3x - y = 116
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</span>