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TiliK225 [7]
3 years ago
5

Given that 15x=5y, find the ratio of x to y in simplest form

Mathematics
2 answers:
alexdok [17]3 years ago
4 0
15x = 5y divide by 3, 3x=y. I believe
BartSMP [9]3 years ago
3 0
Take 15y as numerator and 5x as denominator and then cancel out 15y by dividing it from 5x. Then the answer you get is 3y upon x or 3y:x
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Determine whether each graph represents a linear or nonlinear function. Use the
ANTONII [103]

Answer:

  • x-intercepts: -3, -2, -1, 1, 2
  • y-intercept: 12
  • symmetry: none

Step-by-step explanation:

The x- and y-intercepts are the points where the graph crosses the x- and y-axes, respectively. If an odd-degree polynomial function has any symmetry, it will be symmetrical about the origin.

<h3>X-intercepts</h3>

The graph shows crossings of the x-axis at -3, -2, -1, 1, and 2. These are the x-intercepts. Expressed as coordinate pairs, each will have a y-coordinate of zero:

  (-3, 0), (-2, 0), (-1, 0), (1, 0), (2, 0)

<h3>Y-intercepts</h3>

If the function is not vertically scaled, the y-intercept of an odd-degree function will be the opposite of the product of the x-intercepts:

  -(-3)(-2)(-1)(1)(2) = 12

It will have an x-coordinate of zero:

  (0, 12) . . . y-intercept

A function can have at most 1 y-intercept.

<h3>Symmetry</h3>

There are two features of this graph that tell you it is an odd-degree function:

  1. the end behavior is in opposite directions
  2. there are an odd number of x-intercepts (x-axis crossings)

An odd-degree function will only be symmetrical about the origin. This function has more negative x-intercepts than positive ones, so is not symmetrical about the origin.

The graph has no symmetry.

__

<em>Additional comment</em>

Turning points without an x-axis-crossing on either side, or axis "touches" (not crossing) signify complex or even-multiplicity roots. The function will only be of odd degree if there are an odd number of x-axis crossings.

The end behavior of an odd-degree function will be in opposite directions: the infinity will match the sign of x if the leading coefficient is positive, or be opposite to the sign of x if the leading coefficient is negative.

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The two long sides are 63meters and the shorter sides are 21meters.
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3 years ago
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Find a rational number that is between 9.5 and 9.7
Luba_88 [7]
9.5000032 is one such number
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3 years ago
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What is question is asking
Pachacha [2.7K]
A) 72/910
b) 278/910
c) 57/910
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5 0
3 years ago
Two shapes are shown below, one isosceles triangle and one rectangle. The dimensions can be represented by algebraic expressions
liberstina [14]

Answer:

Perimeter of Isosceles Triangle = 16 units

Step-by-step explanation:

Area of rectangle is given by the formula;

Area = 1/2 × base × height

From the diagram, base = 6x - 6 and height = 6x - 8

Thus,Area = 1/2 × (6x - 6) × (6x - 8)

Area = (3x - 3)(6x - 8) = 18x² - 42x + 24

Secondly, area of rectangle is given by;

Area = length x breadth

So, area of rectangle in question = (6x - 9)(3x - 2) = 18x² - 39x + 18

We are told both the area of the triangle and the rectangle are the same, so let's equate both areas;

18x² - 42x + 24 = 18x² - 39x + 18

18x² will cancel out and rearranging, we have;

24 - 18 = 42x - 39x

6 = 3x

x = 6/3

x = 2

Plugging 2 for x for the height and base of the triangle, we have;

base = 6(2) - 6 and height = 6(2) - 8

Base = 6 and height = 4

So,let's find the slant height of the isosceles triangle.

Dividing the base by 2,we have; 6/2 = 3

So,using Pythagoras theorem, let the slant height be h, so we have;

h² = 3² + 4²

h² = 9 + 16

h² = 25

h = √25

h = 5

2 slant sides of isosceles triangle are the same. So perimeter = 5 + 5 + 6 = 16 units

8 0
3 years ago
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