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malfutka [58]
3 years ago
13

What is the slope of the line that passes through the points ( 5 , − 10 ) (5,−10) and ( 11 , − 12 ) ? (11,−12)? Write your answe

r in simplest form.
Mathematics
1 answer:
yan [13]3 years ago
4 0

The slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3

<em><u>Recall:</u></em>

  • The slope of a line passing across through two points can be calculated using: m = \frac{y_2 - y_1}{x_2 - x_1}

<em><u>Given two points:</u></em>

(5,−10) and ( 11 , − 12 )

  • Let,

(5,-10) = (x_1, y_1)\\\\( 11 , - 12) = (x_2, y_2)

  • Substitute

m = \frac{-12 - (-10)}{11 - 5}

Slope (m) = -2/6

Slope (m) = -1/3

Therefore the slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3

Learn more about slope of a line on:

brainly.com/question/3493733

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Complete the table by filling in the elapsed tine.<br> Help pls
Sav [38]

Answer:

RADIUS

==================================

PROBLEM

Mary’s bicycle wheel has a circumference of 226.08 cm². What is its radius?

SOLUTION

We can solve this problem using the circumference formula in which π stands for ( 3.14 ), C stands for circumference itself and r stands for radius.

\bold{Formula \: || \: C = 2πr}Formula∣∣C=2πr

\tt{226.08 = 2(3.14) r}226.08=2(3.14)r

'Now to find the radius,Substitute 226.08 for c which is circumference in the formula.

\begin{gathered} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{C = 2πr} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{226.08 = 2(3.14)\red{r}} \\ \\ \: \: \: \: \: \: \: \: \large \tt{ \frac{226.08}{6.28} = \cancel\frac{6.28 \red{r}}{6.28} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt\green{C = 36}}\end{gathered}

C=2πr

226.08=2(3.14)r

6.28

226.08

=

6.28

6.28r

C=36

To check:

\begin{gathered} \small\begin{array}{|c|}\hline \bold{circumference }\\ \\ \tt{C = 2πr} \\ \tt{C = 2(3.14) (36\:cm) } \\ \tt{C = 2(113.04\:cm) } \\ \underline{\tt \green{C = 226.08\:cm }} \\ \hline \end{array} \end{gathered}

circumference

C=2πr

C=2(3.14)(36cm)

C=2(113.04cm)

C=226.08cm

FINAL ANSWER

If Mary's Bicycle has a circumference of 226.08 cm then the radius is 36.

\boxed{ \tt \red{r = 36}}

r=36

==================================

#CarryOnLearning

7 0
2 years ago
Read 2 more answers
Distance between two points (−5,−5) and (-9, -2)
sergey [27]

Answer: 5

Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-9--5)^2+ (-2 - -5)^2 d = √(-4)^2 + (3)^2 d = √16 + 9 d = √25 d = 5

8 0
3 years ago
Which expression is equivalent to 16x4 – 64? and explain the answer plzz​
GuDViN [60]

Answer:

4(4x1-16)

Hope this helps

Have a good day :)

PS I disibuted 4 to 4x1 to get 16 and 4 to -16 to get -64

Step-by-step explanation:

3 0
3 years ago
Help please! <br><br> Geometry R.10 Solve a right triangle
Len [333]
That is a 30 60 90 triangle
The "short" side (DE) equals the middle side (FE) times (1 / sq rt(3))
short side = 8 * sqrt(3) * (1 / sq rt(3) = 8
Hypotenuse (DF) is 2 times the short side which equals 16.

Source:
http://www.1728.org/trig2.htm



4 0
3 years ago
The corporate team building event will cost $12 if it has three attendees if there are five attendees how much was a quaker team
Norma-Jean [14]

Answer:

Cost to arrange the event for 5 attendees will be $20.

Step-by-step explanation:

We have to solve this question by calculating the unit rates or unitary method.

Since cost to arrange corporate team building event for 3 attendees is = $12

Cost to arrange the event for 1 attendee will be = \frac{12}{3} = $4

Therefore, cost to arrange the event for five attendees will be = 5×4 = $20

4 0
4 years ago
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