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goldenfox [79]
3 years ago
10

Which equations represent the line that is perpendicular to the line 5x - 2y = -6 and passes through the point

Mathematics
1 answer:
Vinvika [58]3 years ago
6 0

<u>Answer</u>

See below

Step-by-step explanation:

The given line has equation

5x - 2y =  - 6

The slope intercept form is

y =  \frac{5}{2} x + 3

The slope of this line is

m = \frac{5}{2}

The line perpendicular to this line has slope

-  \frac{2}{5}

If this line passes through (5,-4), the point-slope form is

y + 4 =  -  \frac{2}{5} (x  - 5)

The slope-intercept form is

y =  -  \frac{2}{5} x- 2

The standard form is

2x+5y=-10

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Write an expression to represent Vivian's change in elevation from -9.6 feet at the bottom of the Ferris wheel to 12.3 feet at
Effectus [21]

Answer:

<h2><em>ΔE =12.3 - (-9.6) which is equivalent to 21.9 feet </em></h2>

<em />

Step-by-step explanation:

Give the distance covered by Vivian at the bottom of the elevation to be -9.6 feet and the distance covered by Vivian at the top of the elevation to be 12.3 feet, Vivian's change in elevation will be expressed as the difference in the elevation at the bottom and the elevation at the top.

Let the initial elevation Ei = -9.6 feet

Final elevation Ef = 12.3 feet

Change in elevation ΔE = Ef - Ei

Change in elevation ΔE =12.3 - (-9.6)

Change in elevation ΔE = 12.3 + 9.6

Change in elevation ΔE = 21.9 feet

<em>Hence the expression to represent Vivian's change in elevation from -9.6 feet at the bottom of the Ferris wheel to 12.3 feet at  the top is </em><em>ΔE =12.3 - (-9.6) which is equivalent to 21.9 feet </em>

<em />

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5 0
3 years ago
A right triangle has legs 48 inches and 55 inches long. What is the length of the
VARVARA [1.3K]

Answer:

73 inches

Step-by-step explanation:

Hypotenuse² = base² + height²

Hypotenuse² = 48² + 55²

Hypotenuse² = 5329

Hypotenuse = sqrt(5329)

Hypotenuse = 73 in

3 0
4 years ago
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14) Find the slope of the line containing the points (5, 3) and (-7, 2).
Zina [86]

Answer:

1/12

Step-by-step explanation:

Step one:

given data

the line containing the points (5, 3) and (-7, 2).

x1= 5

y1= 3

x2= -7

y2=2

Step two:

The slope is given as

Slope= y2-y1/x2-x1

substitute

Slope= 2-3/-7-5

Slope= -1/-12

Slope = 1/12

7 0
3 years ago
Simplify 0, -6 please :(
snow_tiger [21]

Answer:

You cant simplify it??????

Step-by-step explanation:

3 0
3 years ago
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What is the difference between 8753 and 967?<br>​
evablogger [386]

Answer:

7786

Step-by-step explanation:

8753-967

=7786

4 0
3 years ago
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