Answer:
Dilation and translation.
Hope that helps!
Step-by-step explanation:
The <em>correct answer</em> is:
Her number is 7.
Explanation:
Let x represent her number.
She triples her number; this is represented by 3x.
She then adds 5 to this; this gives us 3x+5.
She gets 26 aas her answer. This gives us the equation:
3x+5 = 26
To solve this, first subtract 5 from each side:
3x+5-5 = 26-5
3x = 21
Divide each side by 3:
3x/3 = 21/3
x = 7
Answer:

Step-by-step explanation:
Use the difference of squares formula.



2x + 1 + 5x + 5 + 90 = 180
7x + 96 = 180
7x = 180 - 96
7x = 84
x = 12
Answer:
The quadratic equation in terms of v is v² + 2 v + 180 = 0
Step-by-step explanation:
Given as :
The distance between house to the school = d = 6 km
The uniform speed = v km/h
So, Time = 
or, t = 
Or, t = 
<u>Now, Again</u>
The speed is increase by 2 km/h
i.e speed = (v + 2) km/h
So, Time taken = t' = (t -
)hours
i.e t' = (t -
)hours
Now, Time = 
So, (t -
) = 
Or, (t -
) = 
Or ,
-
= 
Or ,
=
Or, (90 - v) × (v + 2) = 6 × 15 v
Or, 90 v - 180 - v² - 2 v = 90 v
Or, v² + 2 v + 180 = 90 v - 90 v
Or, v² + 2 v + 180 = 0
So, The quadratic equation in terms of v
v² + 2 v + 180 = 0
Hence The quadratic equation in terms of v is v² + 2 v + 180 = 0 Answer