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romanna [79]
3 years ago
11

Put the equation in slope intercept form and identify the slope of the line 6x+9y=3

Mathematics
1 answer:
raketka [301]3 years ago
3 0
Slope is -2/3 and the Y- intercept is 1/3
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Graph the line passing through the given point and having the given slope (0,3), m=4
andriy [413]

<u>Hint </u><u>:</u><u>-</u>

  • To find out the equation of the line we can use the point slope form of the line which is y - y_1 = m(x-x_1)

<u>Solution</u><u> </u><u>:</u><u>-</u>

The given point to us is , (0,3) and the slope of the line is 4 . On using the point slope form , we have ,

\implies y - y_1= m(x-x_1) \\\\\implies y-3 = 4(x-0) \\\\\implies y -3 = 4x \\\\\implies \boxed{ 4x - y + 3 =0}

<u>Hence</u><u> the</u><u> </u><u>equation</u><u> </u><u>is </u><u>4</u><u>x</u><u> </u><u>-</u><u> </u><u>y </u><u>+</u><u> </u><u>3</u><u> </u><u>=</u><u> </u><u>0</u><u> </u>

( for graph , see attachment ) .

3 0
2 years ago
I'm struggling on questions 7,8 and 10 please help and show work, thank you!
dusya [7]
Question 7

(37,065 - 26, 102)/(37, 065) = P/100

(10, 963)/(37, 065) = P/100

37, 065P = (10, 963)(100)

37,065P = 109, 630

P = 109, 630 ÷ 37, 065

P = 2.9577768785

P = 295.78%

Do likewise for the rest of the questions.

To change from decimal to percent, move the decimal point two places to the right and then add the percent symbol (%).
6 0
3 years ago
our buses carrying 140 high school students arrive to Montreal. The buses carry, respectively, 31, 43, 27, and 39 students. One
Vinvika [58]

Answer:

V(X)= 39.10

V(Y)= 40

Step-by-step explanation:

Given that

Total number of student = 140

Bus A - 31

Bus B- 43

Bus C- 27

Bus D- 39

The probability that a student was on the bus is proportional to the number of student. Eg 31/140 in bus A, 43/140 on bus B, ...

E(X) = (31*31/140) + (43*43/140)  + (27*27/140) + (39*39/140)

=  35.5

Var(X) =(31-35.5)^2 \times \dfrac{31}{140}+(43-35.5)^2 \times \dfrac{43}{140}+(39-35.5)^2 \times \dfrac{39}{140}+(27-35.5)^2 \times \dfrac{27}{140}

V(X)= 39.10

The bus driver have  1/4 probability on being on any of the buses.

E(Y) = 140/4 = 35

Var(Y)=\dfrac{(35-31)^2+(35-43)^2+(35-27)^2+(35-39)^2}{4}

V(Y)= 40

7 0
3 years ago
If the circumference of a circle is 36, what is the length of an arc of the circle intercepted by a central angle of 30 degrees?
elixir [45]

Answer:330 degrees

Step-by-step explanation: It helps by drawing a picture, hope this helps

3 0
3 years ago
Read 2 more answers
Please, give me the answer guys
Aleks04 [339]

Answer:

32.5

Step-by-step explanation:

its a lot of work i hope you dont mind if i dont show it

7 0
3 years ago
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