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Reika [66]
3 years ago
13

An equation parallel and perpendicular to 4x+5y=19

Mathematics
1 answer:
mestny [16]3 years ago
8 0

Answer:

An equation parallel to 4x + 5y = 19 would be y = -4/5x +12.

An equation perpendicular to 4x + 5y = 19 would be y = 5/4x + 10.

Step-by-step explanation:

The equation given represents a linear equation in Standard Form (Ax + By = C).  Lines that are parallel to each other go the same direction and don't touch, so their slopes must be the same.  However, lines that are perpendicular go in opposite directions and intersect, so their slopes must be the direct opposite of each other.  In order to find the slope, you must first convert from the Standard Form given to Slope Intercept Form (y = mx +b).  When you solve the given equation for 'y', you get: y = -4/5x + 19, where the slope = -4/5.  To make a parallel equation, simply keep the same slope and choose a different y-intercept ('b').  To make a perpendicular equation, take the direct opposide of your slope 5/4 (positive) and choose a different y-intercept.  

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What is the median of the following string of values?<br> 55, 18, 58, 49, 8, 77, 62, 26, 7.11
LuckyWell [14K]

Answer:

The answer is 49 if we are to assume you meant 7.11 and not 7,11.

If you meant 7,11 - the answer is 28.5.

Step-by-step explanation:

If we are assuming you meant "7,11" and not "7.11", then we would start by removing the lowest and highest numbers from the list respectively, and repeating the process until you only have 1 or 2 numbers left.

Here are the pairs of numbers removed if we are assuming you meant 7.11;

7.11 / 77

8 / 62

18 / 58

26 / 55

We are left with 49, and that would be your median.

However, if we were to assume you meant 7,11, then we'd have to start over and repeat the process.

7 / 77

8 / 62

11 / 58

18 / 55

26 / 49 is our final answer; however we are not to assume this as we need a definite number. To resolve this, we would need to average the two numbers. To do this, we add them together and divide by how many numbers we added.

26 + 49 = 75.

75 / 2 = 28.5

Your median for this would be 28.5.

Hope this helps! Have a great rest of your day. :)

3 0
2 years ago
Read 2 more answers
Simplify the expression: 4x(x2 + 6x - 1) will mark brainliest pls help&lt;3​
Rufina [12.5K]
I think it’s 4x3 + 24x2 - 4x
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3 years ago
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ozzi

Answer:

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Step-by-step explanation:

Theorem states that the smaller two sides of a triangle have to be greater than the biggest side.

The least possible answer would be 5 inches.

6 0
3 years ago
Find the area of the circle to the<br> nearest tenth. Use 3.14 for it<br> (11 mm)
Nikolay [14]

Answer:

The area of the circle is 379.94 mm²

Step-by-step explanation:

To solve this problem we need to use the area formula of a circle:

a = area

r = radius = 11 mm

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a = π * r²

we replace with the known values

a = 3.14 * (11 mm)²

a = 3.14 * 121 mm²

a = 379.94 mm²

Round to the nearest tenth

a = 379.94 mm² = 379.9 mm²  

The area of the circle is 379.9 mm²

4 0
3 years ago
A shop has 4 fruits (bananas, oranges, apples, and grapes) and 2 dips (peanut butter and caramel).
makvit [3.9K]

Answer:

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Step-by-step explanation:

total fruits and dips=4+2=6

P(select banana&peanut)=banana+peanut/total fruits and dips

P(select banana&peanut)=1+1=2/6

=1/3

5 0
2 years ago
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