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Bogdan [553]
3 years ago
14

Find and type in the Constant of proportionality for this graph, AND write the equation in the form of y=kx.

Mathematics
1 answer:
stepladder [879]3 years ago
8 0

Answer:

f

Step-by-step explanation:

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Question 5 (12 points)
Dima020 [189]

Answer:

see attached for diagram

a) √13

b) √29

c) 4

Step-by-step explanation:

Equation of the circle:  (x + 1)^2 + (y - 3)^2 = 16

⇒ center = (-1, 3)

⇒ radius = √16 = 4

Distance between 2 points formula:

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

a)  let (-1, 3) = (x_1,y_1)

    let (2, 1) = (x_2, y_2)

 \implies \sqrt{(2+1)^2+(1-3)^2} =\sqrt{13}

b)  let (-1, 3) = (x_1,y_1)

    let (4, 1) = (x_2, y_2)

\implies \sqrt{(4+1)^2+(1-3)^2} =\sqrt{29}

c)  let (-1, 3) = (x_1,y_1)

    let (3, 3) = (x_2, y_2)

\implies \sqrt{(3+1)^2+(3-3)^2} =4

4 0
3 years ago
Read 2 more answers
3(y+7)+8y plz be spacific and answer correctly, im counting on you. :)
Galina-37 [17]

Answer:

11y + 21

Step-by-step explanation:

mutipily 3 by y + 7 bc 3 is right outside of the parentheis which means to mutipily. Then u get 3y +21 +8y. then simpilfy

7 0
3 years ago
2(4+2x)≥5x+5 solve inequality
valkas [14]

Answer:

x ≤ 3

Step-by-step explanation:

2(4+2x)≥5x+5

8+4x≥5x+5

4x-5x≥5-8

-x≥-3

x ≤ 3

6 0
3 years ago
Read 2 more answers
Lim x--> 0 (e^x(sinx)(tax))/x^2
Tom [10]

Make use of the known limit,

\displaystyle\lim_{x\to0}\frac{\sin x}x=1

We have

\displaystyle\lim_{x\to0}\frac{e^x\sin x\tan x}{x^2}=\left(\lim_{x\to0}\frac{e^x}{\cos x}\right)\left(\lim_{x\to0}\frac{\sin^2x}{x^2}\right)

since \tan x=\dfrac{\sin x}{\cos x}, and the limit of a product is the same as the product of limits.

\dfrac{e^x}{\cos x} is continuous at x=0, and \dfrac{e^0}{\cos 0}=1. The remaining limit is also 1, since

\displaystyle\lim_{x\to0}\frac{\sin^2x}{x^2}=\left(\lim_{x\to0}\frac{\sin x}x\right)^2=1^2=1

so the overall limit is 1.

4 0
3 years ago
Please solve and please make sure your correct
Mazyrski [523]

Answer:

(a) The ones that are equivalent to the given fraction are: \frac{2}{-9} and -\frac{2}{9}

(b) The one that is equivalent to the given fraction is: \frac{-8}{-5}

3 0
2 years ago
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