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3 years ago

What is 70 by 20%ughhhhh

Mathematics

1 answer:

Masteriza [31]3 years ago

5 0

Answer:

Step-by-step explanation:

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The sum of the squares of three consecutive positive integers is 7805. What is the sum of the cubes of the three original intege

Vitek1552 [10]

Answer:

398259

Step-by-step explanation:

Let from the given positive integers, x be the smallest integers,

Also, numbers are consecutive,

So, the second integer = x + 1,

Third integer = x + 2,

According to the question,

$x^2+(x+1)^2+(x+2)^2=7805$

$x^2+x^2+2x+1+x^2+4x+4=7805$

$3x^2+6x+5=7805$

$3x^2+6x+5-7805=0$

$3x^2+6x-7800=0$

$x^2+2x-2600$

By middle term splitting,

$x^2+(52-50)x-2600=0$

$x^2+52x-50x-2600=0$

$x(x+52)-50(x+52)=0$

$(x-50)(x+52)=0$

By zero product property,

x-50 = 0 or x + 52 =0

⇒ x = 50 or x = -52 ( not possible )

Hence, numbers are 50, 51, 52,

∵ (50)³ + (51)³ + (52)³ = 125000 + 132651 + 140608 = 398259

6 0

3 years ago

(а+1) (а+2)-(а+1)(а-2)-а-1

umka21 [38]

If you would like to calculate (a + 1) * (a + 2) - (a + 1) * (a - 2) - a - 1, you can do this using the following steps:

(a + 1) * (a + 2) - (a + 1) * (a - 2) - a - 1 = a^2 + 2 * a + 1 * a + 2 - (a^2 - 2 * a + 1 * a - 2) - a - 1 = a^2 + 3 * a + 2 - a^2 + 2 * a - 1 * a + 2 - a - 1 = 3 * a + 3

The correct result would be 3 * a + 3.

7 0

3 years ago

Read 2 more answers

A student made the following chart to prove that AB2 + BC2 = AC2:

aalyn [17]

Answer:

Solution:

Given : In triangle ABC right angled at B.

To Prove :

Construction: Draw B D perpendicular AC.

Proof: 1. Triangle ABC is similar to triangle BDC 1. Angle ABC = Angle BDC and Angle BCA = Angle BCD

2. = AC × DC 2. BC ÷ DC = AC ÷ BC because triangle ABC is similar to triangle BDC

3. Triangle ABC is similar to triangle ABD 3. Angle ABC = Angle BAD and Angle BAC = Angle ABD

4. = AC × AD 4. AB ÷ AD = AC ÷ AB because triangle ABC is similar to triangle ABD

= AC (AD + DC)

6. Adding Statement 1 and Statement 2

→→→Statement 3 is incorrect.It should be replaced by, Angle ABC = Angle ADB and Angle B AC = Angle BAD .

hope i could help also if u have time please mark me as brainlest

4 0

3 years ago

On the number line, which point is closest to <br> A. A<br> B. B <br> C. C <br> D. D

oksano4ka [1.4K]

Point C, since pi=around 3.14

Hope that helps :)

4 0

4 years ago

Read 2 more answers

CAN I HAVE AN ANSWER PLEASE?

Sergeeva-Olga [200]

Answer:

3 hours

Step-by-step explanation:

Jasmine's hourly distance covered (her rate of travel) is 45 mi / hr.

45 miles 135 miles

-------------- = ----------------

1 hour x

Cross-multiplying, we get 45x = 135, or x = 3 hours

6 0

3 years ago