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Margaret [11]
3 years ago
10

What is the slope of the line that passes through the points (14, 5) and (20, –4)? A. -3/2 B. -2/3 C. 2/3 D. 3/2

Mathematics
1 answer:
Lynna [10]3 years ago
6 0
The slope of the line that passes through the points (14/5) and (20, -4), so you take y-y/x-x so you substitute the y's in for 5 and -4 and x in for 14 and 20.

5--4/ 14-20
9/-6
Then you make the fraction smaller! 
-3/2 = Answer <span />
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ollegr [7]

Answer:

x = 2

y = -3

z = 4

( 2 , -3, 4 )

Step-by-step explanation:

x + y + z = 3 ---- i

x – y =5 ---- ii

y - z = -7 ---- iii

ii + iii

x - z = -2 ---- iv

i + ii

2x + z = 8 --- v

iv + v

3x = 6

x = 2

x=2 substitute for v

z = 4

x =2 substitute for ii

y = -3

5 0
3 years ago
14 mm<br> 29 mm<br> Calculate the surface area.
tino4ka555 [31]

Answer:

14x29=406 2hich would be the area

Step-by-step explanation:

4 0
2 years ago
Write equation of the line below​
vodka [1.7K]

Hi there!

We are given two ordered pairs which are:

  • (0,0)
  • (5,4)

If you are curious how do I get these ordered pairs, they come from those two big circles or dots. x and y make relation and can be written as (x,y).

1. Find the slope

  • Yes, our first step is to find the slope of a graph if you want to find an equation. You may be curious how to find that right? No worries! We have got a special formula for you to find the slope!

\large \boxed{m =  \frac{y_2 - y_1}{x_2 - x_1} }

Since we have two given points, we can substitute them in the formula.

\large{m =  \frac{4 - 0}{5 - 0} } \\  \large \boxed{m =  \frac{4}{5} }

2. Form an equation.

  • Since we have finally found, got or evaluated the slope. Next step is to find the y-intercept. Oh! Before we get to form an equation, do you know the slope-intercept form? We will be using that linear equation form since it is commonly used in the topic.

\large \boxed{y = mx + b}

Where <u>m</u><u> </u><u>=</u><u> </u><u>s</u><u>l</u><u>o</u><u>p</u><u>e</u> and <u>b</u><u> </u><u>=</u><u> </u><u>y</u><u>-</u><u>i</u><u>n</u><u>t</u><u>e</u><u>r</u><u>c</u><u>e</u><u>p</u><u>t</u><u>.</u> We substitute m = 4/5.

\large{y =  \frac{4}{5} x + b}

Next thing to remember is that when the graph intersects an origin point, b-term or y-intercept would be 0. Therefore b = 0 since the graph intersects (0,0).

\large \boxed{y =  \frac{4}{5} x}

3. Answer

  • Therefore the equation of the line is y = 4x/5.
6 0
2 years ago
Answers:
ryzh [129]
Answers:

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bTriangle YZX
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4 0
2 years ago
A number cube has faces numbered 1 through 6, and a coin has two sides, "heads" and "tails". The
Mama L [17]

Answer:

The <em>required probability</em> is \dfrac{1}{12}.

Step-by-step explanation:

Let <em>A </em>be the event of rolling the number cube.

Let <em>B</em> be the event of tossing the coin.

Total number of possibilities of rolling the number cube and tossing the coin are <em>12 </em>here.

\{(1,H),(2,H),(3,H),(4,H),(5,H),(6,H),(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)\}

where <em>H</em> means Head on toss of coin and <em>T</em> means Tails on toss of coin.

Formula for probability of an event <em>E</em> is:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Here, we have to find the probability of event 'E' i.e. getting a 6 on number cube and heads on coin.

Number of favorable cases are <em>1 </em>and total cases are <em>12</em>.

\Rightarrow P(E) = \dfrac{1}{12}

6 0
2 years ago
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