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Westkost [7]
3 years ago
13

A rectangle is twice as long as it is wide and its perimeter is 432cm

Mathematics
1 answer:
dezoksy [38]3 years ago
5 0
<h3><u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u>:</u><u>-</u></h3>

Let

  • Width of rectangle=x
  • Length of rectangle=2x
  • Perimeter=432cm

We know that in a rectangle

☆ Perimeter=2(Length+Breadth)

\\ \sf\longmapsto 2(x+2x)=432

\\ \sf\longmapsto 2x+4x=432

\\ \sf\longmapsto 6x=432

\\ \sf\longmapsto x=\dfrac{432}{6}

\\ \sf\longmapsto x=72

\\ \sf\longmapsto 2x=2(72)=144

  • Length=144cm
  • Breadth=72cm

☆Area=Length×Breadth

\\ \sf\longmapsto Area=144\times 72

\\ \sf\longmapsto Area=10368cm^2

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If f(x) = 2x2 - 5 and g(x) = x2 - 4x - 8, find (f - g)(x).
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B. ) x² + 4x + 3

Step-by-step explanation:

(f-g)(x) = f(x) - g(x) =

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1. Solve using long division.
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9x^2 - 3x - 2,  R -7.

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5 0
3 years ago
2
rusak2 [61]

Answer:

(1.13, 7.74) and (-4.13, 18.26)

Step-by-step explanation:

This can be solved in two ways:  mathematically and graphically.

<u>Graphing</u>

Plot both lines and find where they intersect.  See the attachment.

The intersection points are (1.13, 7.74) and (-4.13, 18.26)

<u>Mathematical</u>

y + 2x = 10

y = 10 - 2x

y = 3x² + 7x - 4

10 - 2x = 3x² + 7x - 4

3x² + 9x - 14 = 0

Solve this using the quadratic equation:

x = 1.13 and -4.13

Use these two values of x to find y:

y = 10 - 2x

y = 10 - 2(1.13)

y = 7.74

y = 10 -2x

y = 10 -2(-4.13)

y =  18.26

The two points are:

(1.13, 7.74) and (-4.13, 18.26)

7 0
2 years ago
Monique made several batches of soup for a potluck supper. Each batch required 3/4 of a pound of potatoes, and she used a total
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Answer:

B and E

Step-by-step explanation:

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2 years ago
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