The distance formula is given by

Take point A(0, -7) as (x₁, x₂) and point B(8, 8) as (y₁, y₂)
Distance AB =

Distance AB =

Distance AB =

Distance AB = 17
The line AB is dilated to A'B' by scale factor of 2, it means the length of the line is multiplied by 2
Distance A'B' = 2 × 17 = 34 units
Answer:
Step-by-step explanation:
<u>We have the following points:</u>
- B- position of baby bird
- M- position of momma bird
- G- base of the tree
<u>Given:</u>
- GM = 18 feet
- BG = x
- m∠BMG = 54°
<u>Find the value of x:</u>
- x / GM = tan ∠BMG
- x / 18 = tan 54°
- x = 18 tan 54°
- x = 24.77 ≈ 25 ft
Correct choice is B
Answer:
x < 7
Step-by-step explanation:
First apply the -2 onto each term that it is being multiplied onto.
-2x + 6 > - 8
Now subtract six from both sides.
-2x > -14
Now divide by -2.
x < 7
<u>REMEMBER</u>
When doing greater than and less than equations like this, if you divide by a negative you must flip the greater than/less than.