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3 years ago

The sum of 1/3 and twice a number is equal to 2/3 subtracted from three the number.find the number

1 answer:

4 0

The number = y

2y + 1/3 = 2/3 - 3y
(add 3y to both sides)
5y + 1/3 = 2/3
(subtract 1/3 from both sides to isolate y)
5y = 1/3
(divide by 5)
y = 1/15

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vova2212 [387]

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Step-by-step explanation:

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3 0

3 years ago

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5 0

3 years ago

Read 2 more answers

Point b has coordinates (-8,15) and lies on the circle whose equation is x^2+y^2=289. If an angles is drawn in standard position

Alenkinab [10]

Answer:

$\cos \theta=-\dfrac{8}{17}$

Step-by-step explanation:

Coordinates of Point b $=(-8,15)$

b lies on the circle whose equation is $x^2+y^2=289$

$x^2+y^2=17^2$

Comparing with the general form a circle with center at the origin: $x^2+y^2=r^2$

The radius of the circle =17 which is the length of the hypotenuse of the terminal ray through point b.

For an angle drawn in standard position through point b,

x=-8 which is negative

y=15 which is positive

Therefore, the angle is in Quadrant II.

$\cos \theta=\dfrac{Adjacent}{Hypotenuse} \\$Adjacent=-8\\Hypotenuse=17\\\cos \theta=\dfrac{-8}{17} \\\cos \theta=-\dfrac{8}{17}$

8 0

3 years ago

What is the measure of x, given that figure ABCD is a rhombus.

dsp73

The answer would be d

5 0

3 years ago

Can someone help me?

kirza4 [7]

Answer:

C. -36 3/10

Step-by-step explanation:

4 2/5 = 22/5

22/5 = 4.4

4.4(-8.25)

-36.3 = -36 3/10

Have a great day :3

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3 years ago