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bazaltina [42]
2 years ago
9

Find the sum. 10 + 12 + 14 + ... + 80

Mathematics
1 answer:
lyudmila [28]2 years ago
8 0

Answer:

1620

Step-by-step explanation:

The amount of even integers between 10 and 80 inclusive is 36 (5 for each interval of 10 [e.g., 10-19 has 5, 20-29 has 5] and one extra for 80).

Since the numbers are consecutive even numbers, we can use the fact that the sum of the numbers is equal to the average of the numbers, times the number of numbers.

The average of the numbers is 45, since \frac{10+80}{2}=45. We can use only the two outer numbers to determine the average since the numbers are all evenly spaced as they are consecutive even numbers.

45\times36=1620, so the sum is 1620.

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It is D, that is because A - C are not terminating decimals therefore only leaving D
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3 years ago
Polynomial Equation question<br>(Screenshot included)
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y = {x}^{3}  - 4 {x}^{2}  - 45x \\ y = x( {x}^{2}  - 4x - 45) \\ y = x(x + 5)(x - 9) \\ x = 0, - 5,9
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6 0
3 years ago
Find the value of x. Round your answer to the nearest tenth.
leva [86]

Answer:

Pythagorean Theorem:

a^2 + b^2 = c^2

6^2 + b^2 = 12^2

36 + b^2 = 144

b^2 = 108

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Let me know if this helps!

7 0
3 years ago
Read 2 more answers
How do you compare 7/8 ___ 15/16 ?
solong [7]

Answer:

7/8 < 15/16

Step-by-step explanation:

Get a common denominator of 16

7/8 *2/2

14/16

14/16 < 15/16

so 7/8 < 15/16

3 0
3 years ago
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Determine the standard form of the equation of the line that passes through (-6,6) and (3,-2)
Simora [160]

Answer:

y=(8/9)x + 4 and 2/3

Step-by-step explanation:

the slope of this line:

change in y/change in x

change in y=6-(-2)=8

change in x=-6-3=-9

change in y/change in x= 8/9

8/9 is the slope, so you plug it in for m in the standard form equation. You then use one point's x and y values to substitute for x and y in the equation, and solve for b, which is the y intercept

y=mx+b

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-2=(8/9)*3+b

-2=8/3+b

-4 and 2/3=b

4 0
3 years ago
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