Answer:
Common difference of the sequence is -7.
Step-by-step explanation:
Given:
First term a = 5
Tenth term 
= -58
we need to find the common difference d.
Now let the number of terms will be 10 since tenth term is given;
Hence n =10
Now Using Arithmetic Progression formula we get;
Now Substituting the given values in the formula we get;
Hence Common difference of the sequence will be -7.
Answer
Step-by-step explanation:
Answer:
74°.
Step-by-step explanation:
From the question given above,
Cos A = 0.2785
To get the value of angle A, we simply find the inverse of Cos as shown below:
Cos A = 0.2785
Take the inverse of Cos.
A = Cos¯¹ 0.2785
A = 73.8° ≈ 74°
Therefore, the value of angle A is approximately 74°
Answer:
<em>x = 3.</em>
Step-by-step explanation:
1. <u><em>Add 2 + 7, and you get 9.</em></u>
2. <u><em>Now find what 3 multiplied by what equals 9.</em></u>
3. <em><u>3 x 3 = 9.</u></em>
4. <em><u>Therefore, x = 3.</u></em>
5. <em><u>3 x 3 - 2 = 7.</u></em>
The average rate of change is the same as the slope. Even though this graph is a parabola, we still use the slope formula with the corresponding points. Had the question asked for the instantaneous rate of change, we would have needed to find a derivative.
Slope formula: (y2 - y1) / (x2 - x1)
Point 1: (0,4)
Point 2: (2,8)
(8 - 4) / (2 - 0)
4 / 2
2
The average rate of change from x = 0 to x = 2 is 2.
Hope this helps!
