<u>Answer-</u>
<em>The </em><em>first graph</em><em> represents </em>
<u>Solution-</u>
The given function is,
Putting x = 1,
So, the point (x, f(x)) i.e (1, 6) must satisfy or lie on the curve of the function.
Only in case of the first graph, the point (1, 6) lies on the curve.
Therefore, the first graph represents the function correctly.
Answer:
<u>In the state of Kansas, the density of people per square mile is 34.3
</u>
Step-by-step explanation:
According to US topographers, the state of Kansas has an area of 213 096 km².
If 1 km² is equal to 0.39 mi², then how much is 213 096 km².
If 1 km² : 0.39 mi².
213,096 km² : 83,107.44 mi²
If the state of Kansas has a population of 2.85 million people, then:
2.85 x10^6 people / 83 107.44 mi² =
34.3 people per square mile.
Answer: -1/4
Step-by-step explanation:
1-3= -2
-2/8 simplifies to -1/4
Answer:
x = 3
This triangle ABC will be a right triangle as its sides obey the Pythagoras theorem.
Step-by-step explanation:
Let us assume that the triangle Δ ABC has vertices A(x,3), B(-3,-1) and C(-1,-4) and it is a right triangle.
We have to determine x.
Applying the Pythagoras Theorem,
AB² + BC² = AC² {If AC is the hypotenuse of the right triangle}
⇒ [(x + 3)² + 4²] + [(- 2)² + 3²} = (x + 1)² + 7²
⇒ x² + 6x + 38 = x² + 2x + 50
⇒ 4x = 12
⇒ x = 3 (Answer)
This triangle ABC will be a right triangle as its sides obey the Pythagoras theorem. (Answer)
Answer:
4
Step-by-step explanation: