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Agata [3.3K]
3 years ago
7

What is the slope of a line that passes through the origin and point (-3 -2) a. 2/3 b. -2/3 c. 3/2 or d. -3/2

Mathematics
2 answers:
guapka [62]3 years ago
8 0
The answer is C because if you invert it, the formula must work for the -3, -2 point and 0,0 (which is the origin point) another point would be 3,2 if you invert it
lions [1.4K]3 years ago
6 0
The origin is (0,0)

slope = (y2 - y1) / (x2 - x1)
(-3,-2)....x1 = -3 and y1 = -2
(0,0)...x2 = 0 and y2 = 0
now we sub
slope = (0 - (-2) / (0 - (-3) = (0 + 2) / (0 + 3) = 2/3 <=
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5 0
3 years ago
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The function h (d) = 2d + 4.3 relates the height (h) of the water in a fountain in feet to the diameter (d) of the pipe carrying
mezya [45]

Answer:

h(1.5) = 7.3 ft

h(10.3) = 24.9 ft

Step-by-step explanation:

Given the function h(d) = 2d + 4.3,

where:

h = height of the water in a fountain (in feet)

d = diameter of the pipe carrying the water (in inches)

<h3>h(1.5)</h3>

Substitute the input value of d = 1.5, into the function:

h(1.5) = 2(1.5) + 4.3

h(1.5) = 3 + 4.3

h(1.5) = 7 feet

The height of the water in a fountain is 7 feet when the diameter of the pipe is 1.5 inches.

<h3>h(10.3)</h3>

Substitute the input value of d = 10.3, into the function:

h(10.3) = 2(10.3) + 4.3

h(10.3) = 20.6 + 4.3

h(10.3) = 24.9 feet

The height of the water in a fountain is 24.9 feet when the diameter of the pipe is 10.3 inches.

<h3>Context of the solutions to h(1.5) and h(10.3):</h3>

The solutions to both functions show the relationship between the diameter of the pipe to the height of the water in a fountain.  The height of the water in fountain increases relative to the diameter of the pipe.  In other words, as the diameter or the size of the pipe increases or widens, the height of the water in a fountain also increases.  

3 0
2 years ago
Explain how the inverse and the contopositivve of a conditional are alike and how they are different
anygoal [31]

Answer:

See explanation!

Step-by-step explanation:

The contrapositive of a conditional is similar to, yet different from, the inverse of the conditional.

The best way to explain this is to create an example. You should start by creating a conditional; you can then form the conditional's inverse and contrapositive.

<u>Here is an example:</u>

Conditional: If C, then D. (starting statement)

Inverse: If not C, then not D. (opposite of the conditional)

Contrapositive: If not D, then not C. (reversed opposite of the conditional)

<u>Based on the information from the example, you can conclude:</u>

<u>Primary Similarity:</u>

Both the contrapositive and the inverse are opposites of the conditional (both contain not, implying something would not happen under the given circumstances, rather than something would happen under those circumstances).

<u />

<u>Primary Difference:</u>

The contrapositive is a reversed version of the inverse; this causes them to most commonly have different meanings.

I am sure you could find more similarities/differences, but these were the two that stood out to me the most!

I hope this helps! :)

5 0
3 years ago
Help please .!!!!!!!!?
sammy [17]
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4 0
3 years ago
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Which expression is equivalent to 1/3 divided by 1/6
leonid [27]

Answer:

The answer is A

Step-by-step explanation:

cross mutliply

1×6=6

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divide the answers

result: 2

I hope this helps

5 0
2 years ago
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