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Tanzania [10]
3 years ago
12

The United States of House of Representatives has 35 members more than four times the number of members in the United States Sen

ate Define a variable and write an expression to represent the number of members in the House of Representatives then find the number of members in the House of Representatives if there are 100 members in the Senate
Mathematics
1 answer:
Zanzabum3 years ago
7 0

Answer:

House of representatives=h

United states senate= u

h=4u+35

If u=100:

h=4(100)+35

h=400+35

h=435

Hope this helps :}

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If you are allowed to use numbers 1 – 20 and need to choose the passcode of an exact 4 digit code, how many possibilities are th
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Since in a pass code, the placement of the digits is important, therefore this means that to solve for the total number of possibilities we have to make use of the principle of Permutation. The formula for calculating the total number of possibilities using Permutation is given as:

P = n! / (n – r)!

where,

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Therefore solving for the total possibilities P:

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4 0
3 years ago
Which describes how triangle FGH could be transformed to triangle F prime G prime H prime in two steps? On a coordinate plane, t
charle [14.2K]

Answer:

  • <u><em>A dilation by a scale factor of 4 and then a reflection across the x-axis </em></u>

Explanation:

<u>1. Vertices of triangle FGH:</u>

  • F: (-2,1)
  • G: (-3,3)
  • H: (0,1)

<u>2. Vertices of triangle F'G'H':</u>

  • F': (-8,-4)
  • G': (-12,-12)
  • H': (0, -4)

<u>3. Solution:</u>

Look at the coordinates of the point H and H': to transform (0,1) to (0,-4) you can muliply each coordinate by 4 and then change the y-coordinate from 4 to -4. That is<em> a dilation by a scale factor of 4 and a reflection across the x-axis.</em> This is the proof:

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       (0,1) → 4(0,1) = (0,4)

  • Rule for a reflection across the x-axis:{ (x,y) → (x, -y)

        (0,4) → (0,-4)

Verfiy the transformations of the other vertices with the same rule:

  • Dilation by a scale factor of 4: multiply each coordinate by 4

       4(-2,1) → (-8,4)

       4(-3,3) → (-12,12)

  • Relfection across the x-axis: keep the x-coordinate and negate the y-coordinate

        (-8,4) → (-8,-4) ⇒ F'

        (-12,12) → (-12,-12) ⇒ G'

Therefore, the three points follow the rules for <em>a dilation by a scale factor of 4 and then a reflection across the x-axis.</em>

4 0
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Answer:

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If the dimensions are unconstrained, the perimeter will be largest when a pair of opposite sides will be the smallest measure allowed.

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This gets very large when x gets very small, so Dora is correct in saying that the side lengths that are as small as they can be will result in the largest perimeter. We have no way of telling if her assumption of integer side lengths is appropriate. If it is not, her statement makes no sense.

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