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BigorU [14]
2 years ago
9

Find the sum of first 100 even numbers.​

Mathematics
2 answers:
alexdok [17]2 years ago
7 0

Answer:

10100

Step-by-step explanation:

the sum of the first 100 even integers is equal to 10100.

Zina [86]2 years ago
4 0

Answer:

First hundred even numbers = 2, 4, 6, 8, 10, 12, 14, ....... , 200.


Sum of First hundred even numbers = 10100

Hope that helps...

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Find the nature of the root
GREYUIT [131]

Answer:

1) Real and same.

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3) Real and distinct

4) Real and distinct

5) Real and distinct

6) Real and distinct

7) Real and distinct

8) Real and distinct

Step-by-step explanation:

If a quadratic equation is in the form of ax² + bx + c = 0, then Discriminant of the equation D = b² - 4ac, which governs the nature of roots the equation has.

If D > 0, then there will be two different real roots.

If D = 0, then two same and real roots.

If D < 0, then two distinct but imaginary roots.

Now, 1) x² + 6x + 9 = 0 has D = 6² - 4 × 9 × 1 = 0. So, there will be two same and real roots.

2) 5x² - x = 4x² + 2

⇒ x² - x - 2 = 0

It has D = (-1)² - 4 × 1 × (-2) = 9. Therefore, the roots will be two distinct and real.

3) \frac{2}{x} + \frac{3}{x} = x - 4

⇒ 5 = x² - 4x

⇒ x² - 4x - 5 = 0.

So, D = (-4)² - 4 × (1) × (- 5) = 36. So, the equation has two real and distinct rools.

4) x(x - 5) = 4(5 - x)

⇒ x² - x - 20 = 0

Hence, D = (-1)² - 4 × 1 × (-20) = 81

So, the roots will be real and distinct.

5) x² + 7x + 1 = 0 has D = 7² - 4 × 1 × 1 = 45

So, the roots will be real and distinct.

6) 2x² + 9x + 3 = 0, has D = 9² - 4 × 2 × 3 = 57.

Hence, the roots will be real and distinct.

7) 5x² - 6 = 13x

⇒ 5x² - 13x - 6 = 0

So, D = (-13)² - 4 × 5 × (-6) = 289

So, the roots will be real and distinct.

8) x² - x = 3(x + 7)

⇒ x² - 4x - 21 = 0

It has D = (-4)² - 4 × 1 × (-21) = 100

So, the roots will be real and distinct. (Answer)

6 0
3 years ago
What is the volume of this right rectangular prism. 7 feet length 2 feet width and 3.5 feet Height
Rashid [163]

i think the answer to this problem is49

6 0
2 years ago
Austin earns $9.75 an hour at a part-time job, and earns $12 each time mowing lawns in the neighborhood. They graph the amount o
kaheart [24]

Answer:

$7.25 at part-time job

$9.00 every time lawn mowed  

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Step-by-step explanation:

4 0
2 years ago
GH=4x-1 and DH=8. Find x<br> D is the mid point of GH ...?
dezoksy [38]
If D is the midpoint of GH, then GH equals 2(DH) = 16
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3 0
3 years ago
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just olya [345]

Answer:

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Step-by-step explanation:

The triangle described is an isosceles right triangle with side lengths 10 cm. All such triangles are congruent (it is unique).

7 0
3 years ago
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