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olasank [31]
3 years ago
14

Which expression is equivalent to 81 + 18?

Mathematics
2 answers:
Dima020 [189]3 years ago
3 0

Answer:

  • A. 9(9 + 2)

Step-by-step explanation:

81 + 18 = 99

  • A. 9(9 + 2) = 99, correct
  • B. 9(9 + 9) = 198 ≠ 99
  • C. 9(9 + 3) = 108 ≠ 99
  • D. 3(27 + 18) = 135 ≠ 99
Marat540 [252]3 years ago
3 0

Answer:

9(9+2)

Step-by-step explanation:

81+18=99

Now

\\ \rm\Rrightarrow 9(9+2)

\\ \rm\Rrightarrow 81+18

\\ \rm\Rrightarrow 99

Hence verified.

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A rectangular pyramid measures three feet by four feet at the base, and has a height of seven feet. Find its volume. A. 21 ft3 B
sweet-ann [11.9K]

Answer:

C. 28 ft³

Step-by-step explanation:

The general formula for the volume of a pyramid:

V = \frac{1}{3}Bh, where B = the area of the base and h = height of the pyramid

Since the base is a rectangle, we can find area using the formula:

A = l x w or A = 3 x 4 = 12 ft²

Using B = 12 and h = 7:

V = \frac{(12)(7)}{3}

V = 28 ft³

3 0
3 years ago
X to the power of 3 - 7x + 6 factorise please whole step by step​
Over [174]

Answer:

(x     +  3)(x   -  2)(x - 1)

Step-by-step explanation:

{x}^{3}  - 7x + 6

Factor using Rational Root Theorem.

This means our possible roots are

positve or negative (1,2,3,6). If we try positve 1, it is indeed a root.

This means that

(x - 1)

is a root.

We can divide the top equation by the root (x-1). Our new equation is

( {x}^{2}   +  x - 6)

Now we can factor this completely

(x + 3)(x - 2)

So this equation in factored form is

(x  + 3)(x - 2)(x - 1)

8 0
3 years ago
BRAINLIESTTT ASAP!! PLEASE HELP ME :)
Lostsunrise [7]

Answer:

See below  

Step-by-step explanation:

(a) Field lines

A negatively charged particle has an electric field associated with it.

The field lines spread out radially from the centre of the point. They are represented by arrows pointing in the direction that a positive charge would move if it were in the field.

Opposite charges attract, so the field lines point toward the centre of the particle.

For an isolated negative particle, the field lines would look like those in Figure 1 below.

If two negative charges are near each other, as in Figure 2, the field lines still point to the centre of charge.

A positive charge approaching from the left is attracted to both charges, but it moves to the closer particle on the left.

We can make a similar statement about appositive charge approaching from the left.

Thus, there are few field lines in the region between the two particles.

(b) Coulomb's Law

The formula for Coulomb's law is

F = (kq₁q₂)/r²

It shows that the force varies inversely as the square of the distance between the charges.

Thus, the force between the charges decreases rapidly as they move further apart.

5 0
3 years ago
What is the solution to x 4 – 12x 2 + 10 > 0?
Umnica [9.8K]

Answer: The picture contains the answer and the steps

5 0
2 years ago
Each side of the smaller square in the figure below is n inches long, and each side of the larger square is p inches longer than
lana66690 [7]

Answer:

2np + p²

Step-by-step explanation:

The general formula for the area of a square is A = s², where s = the length of one side of the square.  In the case of the smaller square the area would be: n x n = n².  Since the side of the larger square is 'p' inches longer, the length of one side is 'n + p'.  To find the area of the larger square, we have to take the length x length or (n +p)².

Using FOIL (forward, outside, inside, last):

(n + p)(n+p) = n² + 2np + p²

Since the area of the first triangle is n², we can subtract this amount from the area of the larger square to find out how many square inches greater the larger square area is.

n² + 2np + p² - n² = 2np + p²


8 0
3 years ago
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