Answer:
In mathematics, counterexamples are often used to prove the boundaries of possible theorems. By using counterexamples to show that certain conjectures are false, mathematical researchers avoid going down blind alleys and learn how to modify conjectures to produce provable theorems.
Step-by-step explanation:
Answer:
"2" is the exponent
Step-by-step explanation:
There is no exponent in your expression.
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When the expression is typeset, the superscript text is considered to be an exponent:
When the expression is written in plain text, the exponent is indicated by a caret (^):
Check the picture below.
recall, congruence means "an exact replica", size, color, smell, feathers, paws, the whole lot, stock and barrel.
Answer:
The scale factor is 1/3
Explanation:
Given that the original point is has coordinates (x,y) and that the dilated point has coordinates (x',y'), we can see that:
x' = k * x
y' = k * y
where k is the scale factor
Now, for the given point we have:
original point = (6 , -3)
dilated point = (2 , -1)
Now, applying the above formula, we will find that:
For x-coordinate:
2 = k * 6
k = 2/6
k = 1/3
Check using the y-coordinate:
-1 = k * -3
k = -1 / -3
k = 1/3
From the above, we can confirm that:
k = 1/3
Hope this helps :)
7x - 8(-2 + 9) = 112
7x - 8(7) = 112
7x - 56 = 112
7x = 112 + 56
7x = 168
x 168/7
x = 24 <==
