B. if two lines are perpendicular, then they intersect to form four right angles.
Answer:
x = 4 is the solution
Step-by-step explanation:
given = x ( square both sides )
x + 12 = x² ( rearrange into standard form )
x² - x - 12 = 0 ← in standard form
(x - 4 )(x + 3 ) = 0 ← in factored form
equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 3 = 0 ⇒ x = - 3
Insert these values into the original equation, and if both sides are equal, and those are the solutions.
x = 4 : = = 4 = x ← correct
x = - 3 : = = 3 ≠ - 3 ← false
the answer is x = 4
First, we are going to find the distance traveled by the ship adding the tow distances:
Distance traveled= 24 mi +33 mi=57 mi
Next, we are going to use the Pythagorean theorem to find the distance from

to

:


d^2=1665


mi
Finally, we are going to subtract the two distances:
57 mi -40.8 mi= 16.2 mi
We can conclude that <span>if the ship could have traveled in a straight lime from point a to point c, it could have saved
16.2 miles.</span>
Answer:
21.4 mm
Step-by-step explanation:
area ÷ base = height
164.78 mm^2 ÷ 7.7 mm
21.4 mm
Check:
base • height = area
7.7 mm • 21.4 mm = 164.78 mm^2
Answer:
Option 3: 200L + 100B > 5,000
Step-by-step explanation:
Each laptop costs 200 dollars, so this could be represented as 200L. Each bike costs 100 dollars, so this could be represented as 100B.
Jonathan wants his total of laptops and bikes to be more that 5,000, so we have to add 200L and 100B. When added, it should be more than 5,000 dollars.
200L + 100B > 5,000