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:the answer is B : -250
Step-by-step explanation:
Answer:
C is (-18, 24)
Scale factor 1 1/3
A is (9, - 4 1/2) *4 1/2 is also 4.5
Step-by-step explanation:
When we take a look at image B (-24, -12) and pre image B (-18, -9),
we can work out the scale factor by
(-24/-18) and (-12/-9) both equal 4/3
So using the scale factor to go from the pre image to the image,
We can find C coordinate by multiplying pre image C by the scale factor.
C is (-13.5 x 4/3) and (18 x 4/3)
C is (-18, 24)
The scale factor is 4/3, which is the mixed numeral of 1 1/3.
To find the pre image of point A we divide the image by the scale factor
A is (12/(4/3)) and (-6/(4/3))
A is (9, - 4 1/2)
Hope this helps,
Cate
Given:
In parallelogram ABCD, two of its vertices are A(-4,0) and B(0,3).
To find:
The equation that represents a line that contain CD.
Solution:
We have,
A(-4,0) and B(0,3)
Slope of AB is
The slope of line AB is 
.
Opposite sides of a parallelogram are parallel and slopes of parallel lines are equal.
In parallelogram ABCD, AB and CD are opposite sides. So, their slopes must be equal.
Slope of line AB = Slope of line CD =
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
Slope of line CD is , it means the line must be of the form
Coefficient of x is only in option a.
Therefore, the correct option is a.
