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WARRIOR [948]
3 years ago
9

3. Find the least number which must be added to the following numbers to make them a perfect square. i) 37460 ii) 506900 iii) 49

31 iv) 5607
Mathematics
1 answer:
EastWind [94]3 years ago
8 0

Answer:

i). 211.

ii). 711.

iii). 31

iv). 131.

Step-by-step explanation:

i). √37460 = 193.545

Then take the whole number from the decimal:

193² = 193 × 193 = 37249

You subtract the answer from the main number:

37460 - 37249 = 211

211 is the answer.

ii). √506900 = 711.969

711² = 711 × 711 = 505521

506900 - 505521 = 1379

1379 is the answer.

iii). √4931 = 70.221

70² = 70 × 70 = 4900

4931 - 4900 = 31

31 is the answer.

iv). √5607 = 74.879

74² = 74 × 74 = 5476

5607 - 5476 = 131

131 is the answer.

Hope you understand ◉‿◉ (✷‿✷) (◠‿◕)

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4 0
3 years ago
What is the solution of square root of x plus twelve equals x
Bess [88]

Answer:

x=4

Step-by-step explanation:

√x+12=x

x+12=x2(Square both sides)

x+12=x2

x+12−x2=x2−x2(Subtract x^2 from both sides)

−x2+x+12=0

(−x−3)(x−4)=0(Factor left side of equation)

−x−3=0 or x−4=0(Set factors equal to 0)

x=−3 or x=4

x=−3(Doesn't work in original equation)

x=√x+12

7 0
3 years ago
Read 2 more answers
NEED HELP ASAP PLZZZUnder a dilation, a square with side lengths 24 yards is transformed a square with side lengths 6 yards. Wha
motikmotik

Answer: 1/4

Step-by-step explanation: i just took the quiz

5 0
3 years ago
Two planes leave an airport at the same​ time, one flying​ east, the other flying west. The eastbound plane travels 130 mph slow
Art [367]

Answer:

Speed of the slower plane = 320 mph

Speed of the faster plane = 450 mph

Step-by-step explanation:

Let the speed of the slower plane = x mph

And the speed of the faster plane = y mph

Difference in their speeds = 130 mph

y - x = 130 --------(1)

Formula for the distance traveled = Speed × time

Distance traveled by the faster plane in 5 hours = 5y miles

Distance traveled by the slower plane in 5 hours = 5x miles

Total distance traveled by both the planes in 5 hours = 5(x + y) miles

5(x + y) = 3850

x + y = 770 ---------(2)

By adding equations (1) and (2)

2y = 900

y = 450 mph

From equation (2)

x = 770 - 450

x = 320 mph

6 0
3 years ago
What is an equation of the line that passes through the points (−6,−2) and (−3,−3)?
Stels [109]

Answer:

y = -1/3x - 4  (slope-intercept form)

or

x + 3y = -12 (Standard form).

Step-by-step explanation:

The slope of the line = (-3 - (-2)) / (-3 - (-6))

= -1 / 3.

Using the point-slope form of straight line:

y - y1 = m(x - x1) we have:

y - (-2) = -1/3(x - -6))

y + 2 = -1/3(x + 6

y + 2 = -1/3x - 2

y = -1/3x - 4

In standard form (multiplying thru by 3):

3y = -x - 12

x + 3y = -12.

5 0
3 years ago
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