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Vladimir [108]
3 years ago
10

Mr. Rosenberger asked his students to use the distributive property to rewrite the expression 18 (24) by using friendlier number

s. The table below shows the expressions that four students created. Expressions Created by Students Student Expression Aaron 10 + 8 times 4 + 20 Brian 10 + 8 (4 + 20) Cece 18 (4 + 6) Diana 18 (4 + 20)
Mathematics
1 answer:
lara [203]3 years ago
4 0

Answer:

diana

Step-by-step explanation:

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A 5×6 rectangular grid with unit cells is given. Let A(0, 0) and B(5, 6) be the bottom-left corner and top-right corner, respect
harina [27]

Answer:

462 paths from A to B

Step-by-step explanation:

The question is incomplete. However, a possible question is to determine the number of possible paths on the grid map.

The first step is to represent the grid map itself. (See attachment 1)

From the question, we understand that:

  • Only right movement is allowed in the horizontal direction
  • Only up movement is allowed in the vertical direction

There are a several number of ways to navigate through. However, one possible way is in attachment 2

In attachment 2,

  • R represents the right movement
  • U represents the up movement

And we have:

R = 5     and    U = 6

The number of possible paths (N) is then calculated as:

N = \frac{(N + U)!}{N!U!}

Substitute values for N and U

N = \frac{(5 + 6)!}{5!6!}

N = \frac{11!}{5!6!}

N = \frac{39916800}{120 * 720}

N = \frac{39916800}{86400}

N = 462

<em>Hence, there are 462 possible paths from A to B</em>

4 0
3 years ago
Given right triangle A w/a hypotenuse length of x+4 and a leg of x, and right triangle B, w/ a hypotense length of 3y and a leg
alex41 [277]

Answer:

Value is x=8 and y=4

Step-by-step explanation:

Given : A right triangle 'A'  hypotenuse length of x+4 and a leg of x,

and right triangle 'B' hypotenuse length of 3y and a leg length of y+4

To find : For what values of x and y are the triangles congruent by HL?  

Solution :

Triangle A,

Hypotenuse: x+4

Leg: x

Triangle B,  

Hypotenuse: 3y

Leg: y+4  

Since the triangle A and B are congruent so, the sides of triangles are equal.

x+4=3y    (Hypotenuse are equal)  ..........[1]

and x=y+4   (Legs are equal)   ..........[2]

Solving the equation of system,

Put the value of x from [2] in [1],

x+4=3y

y+4+4=3y

8=2y

y=4

Substitute y in [2],

x=y+4

x=4+4

x=8

Therefore, The value of x=8 and y=4

Verifying for the values of x and y:

Triangle A,

Hypotenuse: x+4=8+4=12

Leg: x=8

Triangle B,  

Hypotenuse: 3y=3(4)=12

Leg: y+4=4+4=8

Both hypotenuses and both legs are equal hence they are congruent.

6 0
3 years ago
Billy drove 1 half of the 7.5 miles between his house and the mall. How many miles did he drive?
lara31 [8.8K]
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(x+3)(x-3) sum of difference​
matrenka [14]
4x-sum to
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Equals3
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10 POINTS! HELP ITS DUE SOON!!
Naddika [18.5K]

Answer:

10

Σ [n^2]

i=1

Step-by-step explanation:

Hope I helped? I inserted it into a calc and I also got 385 for something if its useful))

8 0
3 years ago
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