Answer:
Hence the domain is given as,b is such that b is a member of all real numbers,except b=0,a=0, a=-b
Step-by-step explanation:
The domain refers to values for which the expression is defined.
This implies that, the denominators are not equal to zero.




Hence the domain is given as,b is such that b is a member of all real numbers,except b=0,a=0, and a=-b
Answer:
x=4
Step-by-step explanation:
Based on the given variation, y does not vary directly with x and the constant of variation are 8, 3.2 and 1.25 respectively.
<h3>Variation</h3>
y = k × x
where,
k = constant of proportionality
y = -40
x = -5
y = k × x
-40 = k × -5
-40 = -5k
k = -40/-5
k = 8
when,
y = 8 and x = 2.5
y = k × x
8 = k × 2.5
8 = 2.5k
k = 8/2.5
k = 3.2
when,
y = 5 and x = 4
y = k × x
5 = k × 4
5 = 4k
k = 5/4
k = 1.25
Learn more about variation:
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Answer:
3.5 inches
Step-by-step explanation:
We can rotate the figure to the left 90 degrees clockwise so that it becomes same orientation as the figure to the right.
Since they are similar figures, their corresponding sides are proportional.
The 4 inch side of left figure corresponds to 16 in side of right side figure.
The "?" inch side of left figure corresponds to 14 in side of right side figure.
We can replace "?" with "x" and setup two ratios and equate them:

Now, we can cross multiply and solve for x:

Hence,
the unknown side marked "?" is equal to 3.5 inches
Angle 6, angle 4, angle 3, and angle 2 are all exterior angles.
Hope this helps!