Answer:
5700
Step-by-step explanation:
step 1 Address the formula, input parameters & values.
Input parameters & values:
The number series 2, 4, 6, 8, 10, 12, . . . . , 150.
The first term a = 2
The common difference d = 2
Total number of terms n = 75
step 2 apply the input parameter values in the AP formula
Sum = n/2 x (a + Tn)
= 75/2 x (2 + 150)
= (75 x 152)/ 2
= 11400/2
2 + 4 + 6 + 8 + 10 + 12 + . . . . + 150 = 5700
Therefore, 5700 is the sum of first 75 even numbers.
The circumference of the circle is 75.36 cm.
Diameter of the circle is 24 cm,
- Step 2: Formula used and calculation:
Circumference of the circle is 
.
So, Radius, r = 24/2 = 12 cm.
Now, Putting the value in the above formula, we get
2 × 3.14 ×12 = 3.14 × 24 = 75.36 cm.
Hence, the circumference of the circle is 75.36 cm.
Learn more about circumference of the circle, refer:
brainly.com/question/23964435
Answer:
m=2
Step-by-step explanation:
slope is the average rate of change in a specific interval
we can calculate slope in this case with Δy/Δx or (y2-y1)/(x2-x1)
m=(y2-y1)/(x2-x1)
=(-1-7)/(-3-1)
=-8/-4
=2
Answer:
(2x)X-12
Step-by-step explanation:
x-6.x-2
The answer is (6, 7)
This is the system of two equations:
<span>2y − x = 8
y − 2x = −5
_____
Express the second equation in the term of y:
2y - x = 8
y = 2x - 5
_____
Substitute y in the first equation:
2(2x - 5) - x = 8
4x - 10 - x = 8
4x - x = 10 + 8
3x = 18
x = 18/3
x = 6
Since x = 6 and y = 2x - 5, then:
y = 2 * 6 - 5
y = 12 - 5
y = 7
Therefore, (x, y) = (6, 7)</span>
