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Oliga [24]
3 years ago
5

Fill in the missing monomials: a 100x2= (_____)2

Mathematics
2 answers:
zysi [14]3 years ago
6 0

Answer:

The anser is 100

Step-by-step explanation:

When there is a number right next to parenthisis you mulptiply. SO technicly the (100)2 is just 100*2.

nikitadnepr [17]3 years ago
3 0

Answer:

100

Step-by-step explanation: its the same thing but in a different form

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33. A competition question requests students to form a three-digit number.
aniked [119]

Answer:

  532

Step-by-step explanation:

  532 = 2·2·7·19

__

There are 24 possible 3-digit numbers from the set {2, 3, 5, 7}. Of those, 6 have four factors: 372, 375, 532, 572, 732, 735.

The sums of factors of these numbers are ...

  38, 18, 30, 28, 68, 22

The number of interest is 532.

7 0
3 years ago
Calculate pt3 such that a line from pt1 to pt3 is perpendicular to the line from pt1 to pt2, and the distance between pt1 and pt
Leni [432]
Let the point_1 = p₁ = (1,4)
and      point_2 = p₂ = (-2,1)
and      Point_3 = p₃ = (x,y)

The line from point_1 to point_2 is L₁ and has slope = m₁
The line from point_1 to point_3 is L₂ and has slope = m₂
m₁ = Δy/Δx = (1-4)/(-2-1) = 1
m₂ = Δy/Δx = (y-4)/(x-1)
L₁⊥L₂ ⇒⇒⇒⇒ m₁ * m₂ = -1
∴ (y-4)/(x-1) = -1 ⇒⇒⇒ (y-4)= -(x-1)
(y-4) = (1-x) ⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ equation (1)

The distance from point_1 to point_2 is d₁
The distance from point_1 to point_3 is d₂
d = \sqrt{Δx^2+Δy^2}
d₁ = \sqrt{(-2-1)^2+(1-4)^2}
d₂ = \sqrt{(x-1)^2+(y-4)^2}
d₁ = d₂
∴ \sqrt{(-2-1)^2+(1-4)^2} = \sqrt{(x-1)^2+(y-4)^2} ⇒⇒ eliminating the root
∴(-2-1)²+(1-4)² = (x-1)²+(y-4)²
 (x-1)²+(y-4)² = 18
from equatoin (1)  y-4 = 1-x
∴(x-1)²+(1-x)² = 18            ⇒⇒⇒⇒⇒ note: (1-x)² = (x-1)²
2 (x-1)² = 18
(x-1)² = 9
x-1 = \pm \sqrt{9} = \pm 3
∴ x = 4 or x = -2
∴ y = 1 or y = 7

Point_3 = (4,1)  or  (-2,7)












8 0
3 years ago
Compute the amount of interest earned in the following simple interest problem.
Mumz [18]

Answer:

Step-by-step explanation:

P = $295

r =7%

t = 270 days = 270/365

Interest = Prt

=295*\frac{7}{100}*\frac{270}{365}\\\\= 15.28

= $ 15.28

Amount  = 295 + 15.28

Amount = $310.28

4 0
3 years ago
Simplify. 5 - [ - ( - 2)]
Nimfa-mama [501]

Answer:

3

Step-by-step explanation:

1. A - times a - equals a +, which means [-(-2)] equals (2)

2. 5- (2) equals 5 - 2

3. 5-2= 3

6 0
3 years ago
Read 2 more answers
Which of the following choices gives you a slope of 3?
snow_tiger [21]

Answer: Could you list the choices?

8 0
3 years ago
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