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2 years ago

Find the slope of the line that passes through (10, 5) and (7, 4).

Mathematics

2 answers:

dimulka [17.4K]2 years ago

7 0

Answer: M (slope) = -1 / -3 = 0.3

Step-by-step explanation:

Helga [31]2 years ago

3 0

Answer:

1/3

Step-by-step explanation:

Slope=y1-y2/x1-x2

Where (X1,y1) is (10, 5) and (X2,y2) is (7, 4).

Slope= 5-4/10-7

= 1/3

So slope is 1/3

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24 students brought her permission slips to attend the class field trip is this represent at 8:10 to the class how many students

OlgaM077 [116]

Answer:

30 students

Step-by-step explanation:

24 over 80 is equal to x over 100

cross multiply and you get

80x =240

divide 80 on both sides

you get 3

add an extra sero

4 0

3 years ago

Find a linear second-order differential equation f(x, y, y', y'') = 0 for which y = c1x + c2x3 is a two-parameter family of solu

Alisiya [41]

Let $y=C_1x+C_2x^3=C_1y_1+C_2y_2$ . Then $y_1$ and $y_2$ are two fundamental, linearly independent solution that satisfy

$f(x,y_1,{y_1}',{y_1}'')=0$
$f(x,y_2,{y_2}',{y_2}'')=0$

Note that ${y_1}'=1$ , so that $x{y_1}'-y_1=0$ . Adding $y''$ doesn't change this, since ${y_1}''=0$ .

So if we suppose

$f(x,y,y',y'')=y''+xy'-y=0$

then substituting $y=y_2$ would give

$6x+x(3x^2)-x^3=6x+2x^3\neq0$

To make sure everything cancels out, multiply the second degree term by $-\dfrac{x^2}3$ , so that

$f(x,y,y',y'')=-\dfrac{x^2}3y''+xy'-y$

Then if $y=y_1+y_2$ , we get

$-\dfrac{x^2}3(0+6x)+x(1+3x^2)-(x+x^3)=-2x^3+x+3x^3-x-x^3=0$

as desired. So one possible ODE would be

$-\dfrac{x^2}3y''+xy'-y=0\iff x^2y''-3xy'+3y=0$

(See "Euler-Cauchy equation" for more info)

6 0

3 years ago

Katrina owns a dance studio and offers four classes a day for $28.00 each, with 10 people maximum per class. If she decides to o

WARRIOR [948]

Answer:

$980

Nvm you have to multiply 98 by 10 since there are 10 participants. :)

Step-by-step explanation:

Well, first we wanted to find how much the morning classes cost together. You have to $28 multiplied with 75/100. I am multiplying it with 75/100 instead of 25/100 because the discount cuts off the 25% and the 75% is what you still have to pay. This will give you 2100/100 which is $21. Now you have to multiply $21 with 2 since there are two morning classes. $21 x 2 equals $42. Total for Morning Classes is $42.

Now the other two classes don't have a discount. So all you have to do is $28 x 2 or $28 + $28. This gives you $56. Total for The Other Classes is $56.

Last Step:

Total for Morning Classes + Total for the Other Classes = $56 + $42

= $98

Hope that helped! :)

6 0

3 years ago

Read 2 more answers

I need the answer to this.

Kamila [148]

Answer:

VERY HARD QUESTIONS SO I WILL TELL YOU LATER

4 0

2 years ago

Finish this 3,9,4,12,7,21,16

steposvetlana [31]

The pattern is that every 2 numbers are a pair, the first being any selected number, and the second number next to is the number times 3.

3 x 3 = 9
4 x 3 =12
7 x 3 = 21
Therefor we type 16 x 3 = 48

48 is your next number.

5 0

2 years ago