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Alex
3 years ago
15

A 15 foot flagpole casts an 11 foot shadow. At the exact same time a 28 foot tree casts a shadow. Which proportion would correct

ly find the length of the tree's shadow?
Mathematics
1 answer:
marishachu [46]3 years ago
8 0
The longer an object, the longer the shadow they cast at a given time of the day and vice versa. This is called direct proportionality. At the same time,

If 15 foot flagpole ---- casts 11 foot shandow
    28 foot tree -------- casts ?? foot shadow

The proportion would therefore be:

Length of shadow cast by tree = (28/15)*11 = 20.533 foot.
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Ivahew [28]

Find the Greatest Common Factorthe largest number that divides evenly into <span>4x<span>4x</span></span> and <span>-6<span>−6</span></span>?
It is <span>22</span>.
the highest degree of <span>xx</span> that divides evenly into <span>4x<span>4x</span></span> and <span>-6<span>−6</span></span>?
It is 1, since <span>xx</span> is not in every term.Multiplying the results above,
The GCF is <span>22</span>.

<span><span>2(<span><span>​2</span>​<span>​<span>4x</span></span><span>​​</span></span>−<span><span>​2</span>​<span>​6</span><span>​​</span></span>)

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3 0
3 years ago
How do I do this problem with solution by elimination?<br> 2x+y=3<br> -2x+5y=-9
ddd [48]

Answer:

(2, -1)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

2x + y = 3

-2x + 5y = -9

<u>Step 2: Solve for </u><em><u>y</u></em>

<em>Elimination</em>

  1. Combine equations:                    6y = -6
  2. Divide 6 on both sides:               y = -1

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Define equation:                    2x + y = 3
  2. Substitute in <em>y</em>:                       2x - 1 = 3
  3. Isolate <em>y</em> term:                        2x = 4
  4. Isolate <em>y</em>:                                 x = 2
7 0
3 years ago
Find the coordinates of the image of the point A(3, 9) for a dilation with the scale factor of 2/3
Ierofanga [76]

Answer:

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Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply each of the coordinates by \frac{2}{3}

A(3, 9 ) → A'( \frac{2}{3} (3), \frac{2}{3} (9) ) → A'(2, 6 )

4 0
3 years ago
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PLEASE HELPPP ITS WORTH 20 points!!!
Oksana_A [137]

Answer:

tanD =4/7

Step-by-step explanation:

tanD = P/B

Where P=4 and B=7

So;

tanD=4/7

3 0
2 years ago
Which of the following equations represents a line that is perpendicular to y=-4x+9 and passes through the point, (4,5)?
kap26 [50]

Answer:

y = \frac{1}{4}x + 4 \\or\\4y = x + 16

Step-by-step explanation:

Given equation of line is:

y = -4x+9

Comparing it with the standard form

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m = -4

As we know that the product of slopes of perpendicular lines is -1

Let m1 be the slope of perpendicular line

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m1 = -1/-4

m1 = 1/4

In order to find the value of b, putting the point in standard form

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5 = 1 + b

b = 5-1

b = 4

Putting the value of b and m1 in standard form

y = \frac{1}{4}x + 4 \\or\\4y = x + 16 ..

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