Which graph represents the solution set to the system of inequalities? y≤1/4 x−2, y≥−5/4 x+2
1 answer:
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Answer:
1. Total Trip Distance = 190 kilometers
2. To complete the trip, 38 more kilometers left
Step-by-step explanation:
1.
Let total trip be x kilometers.
So we can say
<em>"152 is of total" --- this into equation is:</em>
Total trip is 190 km.
2.
Since already driven 152, to complete 190, you have to drive kilometers more.
So, 38 more kilometers to complete the trip.
Answer:
x = 2√2
y = 2√6
Step-by-step explanation:
Consider the ratio of the two legs of the two smaller interior right triangles. (refer to attached diagrams for the triangles - I have outlined one in blue and the other in red)
These will be equal since the triangles are similar
shorter leg : longer leg
(blue triangle = red triangle)
⇒ x : 4 = 2 : x
⇒ x/4 = 2/x
⇒ x² = 8
⇒ x = √8
⇒ x = 2√2
Now we have x, we have the two legs of the right triangle with hypotenuse labelled y.
Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse)
⇒ 4² + (2√2)² = y²
⇒ y² = 24
⇒ y = √24
⇒ y = 2√6
