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2 years ago

9

The difference between nine times number and thirty

1 answer:

svetlana [45]2 years ago

3 0

9x-30 I’m pretty sure!
We are finding the difference, which means subtract! Nine times a number would be 9x and since it’s difference you would subtract it by 30.

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Find the equation of the circle with center (4,5) which passes through the y-intercept of the line 5x-2y+6=0

Elena-2011 [213]

Answer:

(x-4)^2 + (y-5)^2 = 20

Step-by-step explanation:

Rearrange the line equation of 5x - 2y + 6 = 0

So y = 5/2x +3

The y-intercept of the line equation is 3 as when x=0, y=3.

We know the Circle has the formula $(x-4)^2 + (y-5)^2 = ?^2$ from the question but with the intercept, we can find the entire equation as the y-intercept is (0,3) so we can substitute it into the equation to find the full equations so:

$(0-4)^2 + (3-5)^2 = ?^2$

This simplifies to:

$(-4)^2 +(-2)^2$ = $?^2$

16 + 4 = 20 = $?^2$

The answer is 20 so the equation of the circle is $(x-4)^2 + (y-5)^2 = 20$

3 0

2 years ago

One more question on this test guys. please answer as fast as possible. If you do,

GaryK [48]

1. The given rectangular equation is $x=2$ .

We substitute $x=r\cos \theta$ .

$r\cos \theta=2$

Divide through by $\cos \theta$

$r=\frac{2}{\cos \theta}$

$r=2}\sec \theta$

$\boxed{x=2\to r=2\sec \theta}$

2. The given rectangular equation is:

$x^2+y^2=36$

This is the same as:

$x^2+y^2=6^2$

We use the relation $r^2=x^2+y^2$

This implies that:

$r^2=6^2$

$\therefore r=6$

$\boxed{x^2+y^2=36\to r=6}$

3. The given rectangular equation is:

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

This is the same as:

We use the relation $r^2=x^2+y^2$ and $y=r\sin \theta$

This implies that:

$r^2=2r\sin \theta$

Divide through by r

$r=2\sin \theta$

$\boxed{x^2+y^2=2y\to r=2\sin \theta}$

4. We have $x=\sqrt{3}y$

We substitute $y=r\sin \theta$ and $x=r\cos \theta$

$r\cos \theta=r\sin \theta\sqrt{3}$

This implies that;

$\tan \theta=\frac{\sqrt{3}}{3}$

$\theta=\frac{\pi}{6}$

$\boxed{x=\sqrt{3}y\to \theta=\frac{\pi}{6}}$

5. We have $x=y$

We substitute $y=r\sin \theta$ and $x=r\cos \theta$

$r\cos \theta=r\sin \theta$

This implies that;

$\tan \theta=1$

$\theta=\frac{\pi}{4}$

$\boxed{x=y\to \theta=\frac{\pi}{4}}$

6 0

3 years ago

Parker signed up for a streaming music service that costs $6 per month. The service

TEA [102]

Answer:

Parker will have to pay $31 in a month in which he downloaded 50 songs.

Total amount Parker will pay for s songs = 6 + 0.50s

Step-by-step explanation:

Cost per month = $6

Cost of Offline download = $0.50 per song

A. How much total money would

Parker have to pay in a month in which he downloaded 50 songs?

Total amount Parker will pay = $6 + $0.50(50)

= 6 + 25

= $31

Parker will have to pay $31 in a month in which he downloaded 50 songs.

B. How much would

he have to pay if he downloaded s songs?

Total amount Parker will pay for s songs = $6 + $0.50 * s

= $6 + $0.50s

Total amount Parker will pay for s songs = 6 + 0.50s

7 0

3 years ago

Simplify the following<br>(4x + 3) (5x + 2)

lidiya [134]

Answer:

20x^2+23x+6

Step-by-step explanation:

(4x+3)(5x+2)

(4x)(5x)+2(4x)+(5x)3+3(2)

20x^2+8x+15x+6

20x^2+23x+6

Hope that helps :)

8 0

2 years ago

Read 2 more answers

X^2+y^2≤ 4y, x^2+y^2≤4x

lisabon 2012 [21]

Answer:

0 what is the question man what

7 0

3 years ago