Answer:
0.5
Step-by-step explanation:
The given ordered pairs are: (1,2) (2,2.5) (3,3) (4,3.5) (5,4)
The corresponding sequence is :
2,2.5,3,3.5, 4,....
We can see that there is a common difference of d=0.5.
Better still we could use the slope formula:
![m = \frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20)
We substitute the point (1,2) and (2,2.5).
The rate of change of this sequence is:
![m = \frac{2.5 - 2}{2 - 1} = \frac{0.5}{1} = 0.5](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B2.5%20-%202%7D%7B2%20-%201%7D%20%20%3D%20%20%5Cfrac%7B0.5%7D%7B1%7D%20%20%3D%200.5)
Answer:
1.5 ≤ 3.75x
Step-by-step explanation:
Given that:
Distance, D to jog is atleast 1.5 miles
D ≥ 1.5 miles
x = number of hours to jog
Jog rate = 3.75 mph
Actual distance covered if jog last for X hours
Actual Distance = speed * time
Actual Distance = 3.75 * x = 3.75x
Hence,
D ≤ Actual distance
1.5 ≤ 3.75x
Answer:
B) Angle 5 and angle 4
Step-by-step explanation:
Given
See attachment for sketch
See comment for options
Required
The alternate interior angles
Interior angles are such that they are located between the given parallel lines.
In the attached sketch, the interior angles are: 3, 4, 5 and 6
Alternate angles are at the opposite sides of the transversal
Hence:
<em>4 and 5 are alternate interior</em>
<em>3 and 5 are also alternate interior</em>
Let a = 7 , b = 7, and c = 13. c is always the biggest number.
Acute Triangle is when
![c^2 \ \textless \ a^2 + b^2](https://tex.z-dn.net/?f=c%5E2%20%5C%20%5Ctextless%20%5C%20%20a%5E2%20%2B%20b%5E2)
Right Triangle is when
![c^2 = a^2 + b^2](https://tex.z-dn.net/?f=c%5E2%20%3D%20a%5E2%20%2B%20b%5E2)
Obtuse Triangle is when
Answer:
117 feet squared
Step-by-step explanation:
Multiply the height (9 feet) by the width (13 feet).
9 x 13 = 117
117 feet squared
Note: squared is added when describing area (it's used as an exponent in numbers)