Answer:
<em>y = </em>
<em> x + 1 </em>
Step-by-step explanation:
If AB ⊥ CD , then ( 
) ( 
) = - 1
y = - 
x + 3
y - ( - 4) = ( x - 7) ⇔ <em>y = </em><em> x + 1 </em>
Answer:
(a^8)/(b^9)
Step-by-step explanation:
Two rules of exponents come into play.
(a^b)/(a^c) = a^(b-c)
a^-b = 1/a^b
__
Applying the first rule, we have ...
(a^3)/(a^-5) × (b^-2)/(b^7) = a^(3 -(-5)) × b^(-2 -7) = a^8 × b^-9
Applying the second rule gives the simplified form ...
= (a^8)/(b^9)
Answer:
a
Step-by-step explanation:
x>9 - 6/9 = 5 lol
Okay I think there has been a transcription issue here because it appears to me there are two answers. However I can spot where some brackets might be missing, bear with me on that.
A direct variation, a phrase I haven't heard before, sounds a lot like a direct proportion, something I am familiar with. A direct proportion satisfies two criteria:
The gradient of the function is constant s the independent variable (x) varies
The graph passes through the origin. That is to say when x = 0, y = 0.
Looking at these graphs, two can immediately be ruled out. Clearly A and D pass through the origin, and the gradient is constant because they are linear functions, so they are direct variations.
This leaves B and C. The graph of 1/x does not have a constant gradient, so any stretch of this graph (to y = k/x for some constant k) will similarly not be direct variation. Indeed there is a special name for this function, inverse proportion/variation. It appears both B and C are inverse proportion, however if I interpret B as y = (2/5)x instead, it is actually linear.
This leaves C as the odd one out.
I hope this helps you :)
An equation that models the proportional relationship between t and s.
t = 12.5s
<h3>What is proportional relationship?</h3>
Relationships between two variables where their ratios are equal are known as proportional relationships. The fact that one variable is always a constant value multiplied by the other in a proportionate connection is another way to conceive of them. This parameter is referred to as the "constant of proportionality."
<h3>According to the given information :</h3>
1) Ticket for an art museum costs $12.50
2) In other words, the price will increase by $12.50 for each ticket purchased (or tickets).
In other words, the total expense is always 12.5 times the quantity of tickets sold.
3) This indicates that we can create this ---> t = 12.5s.
An equation that models the proportional relationship between t and s.
t = 12.5s
To know more about proportional relationship visit:
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