The expression equivalent to 4^-5 • 3^-5 is 12^-5
<h3>What are equivalent expressions?</h3>
Equivalent expressions are simply known as expressions with the same solution but different arrangement.
Given the index expressions;
4^-5 • 3^-5
Using the exponent rule, the two values are have different bases but the same exponent and thus, we multiply the bases and leave the exponents the same way.
This can be written as;
4(3) ^ -5
expand the bracket
12^-5
Thus, the expression equivalent to 4^-5 • 3^-5 is 12^-5
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Answer: 83/100 or .83
Step-by-step explanation:
Answer:
K(-4,8) is the ortho center.
Step-by-step explanation:
In a right angled triangle, The vertex of the right angle is the ortho center.
Here we are given
J(-4,-1), K(-4,8) & L(2,8)
Using distance formula we get
So we can say that
By converse of pythagorean theorem we get
Hence the Vertex of the right angle is K(-4,8)
K(-4,8) is the ortho center.
Answer:
x = 6
y = -6
Step-by-step explanation:
By adding both equations :-
=》-4x -2y + 4x + 8y = -12 + (-24)
=》-4x + 4x + 8y - 2y = -12 - 24
=》6y = -36
=》y = -36 ÷ 6
=》y = -6
putting the value of y in equation 2
=》4x + 8y = -24
=》4x + (8 × -6) = -24
=》4x - 48= -24
=》4x = 48 - 24
=》x = 24 / 4
=》x = 6
