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Aliun [14]
3 years ago
15

Write an equation in point-slope form of the line having the given slope that contains the given point.

Mathematics
1 answer:
Ad libitum [116K]3 years ago
6 0

\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})~\hspace{10em} \stackrel{slope}{m}\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{-3}[x-\stackrel{x_1}{(-2)}]\implies y-1=-3(x+2)

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There are 240 students going on a field trip each school bus can hold 48 students complete the equation to show which operation
NeTakaya
If you calculate 240/48, you will get 5 without any remainder, which means if you get 5 buses it can exactly take all students?
8 0
2 years ago
The volumes of a water balloon and an air balloon after they are punctured are represented by the
spin [16.1K]

Answer:

Both air balloon  and water balloon data are best modeled by an  exponential function.  

Step-by-step explanation:

Air balloon

Time (seconds) Volume (cubic centimeters)

0                          95

3                         69  

6                          50

9                          37

12                         27

The relation Volume variation/time is constant for lines, In this case, this value change from point to point, as can be seen next.

(69 - 95)/3 = -8.67

(50 - 69)/3 =  -6.33

(37 - 50)/3 = -4.33

(27 - 37)/3 = -3.33

Water balloon

Time (seconds) Volume (cubic centimeters)

0                           30

3                           15.8

6                           7.8

9                           4

12                          2

(30 - 15.8)/-3 = -4.73

(15.8 - 7.8)/-3 = -2.67

(7.8 - 4)/-3 = -1.27

(4 - 2)/-3 = -0.67

In this case, the relation Volume variation/time also change from point to point.

Then, both air balloon  and water balloon data are best modeled by an  exponential function.  

6 0
2 years ago
In the diagram below, AB and TC are tangent to 0. Which equation could be solved to find x, the measure of AC?
LekaFEV [45]

The  equation that could be solved to find x, the measure of AC is 58 = 1/2(238 -x)

<h3>Circle theorem</h3>

The given diagram shows two intersecting lines tangential to a circle at points A and C.

Using the theorem that states, the measure of the angle at the vertex is equal to the half of the difference of the measure of the intercepted arcs.

Mathematically;

<B = 1/2(arcADC - arcAC)

58 = 1/2(238 -x)

Hence the  equation that could be solved to find x, the measure of AC is 58 = 1/2(238 -x)

Learn more on circle theorem here: brainly.com/question/26594685

#SPJ1

4 0
1 year ago
Solve for x. X/4+1=3?
Elan Coil [88]
Subtract 1: x/4=2 multiply by 4: x=8 which is the answer
8 0
3 years ago
I NEED HELP <br><br>Thank you​
soldi70 [24.7K]

Answer:

tha answer is leter C thanks po

Step-by-step explanation:

thanks you po ??

5 0
3 years ago
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