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4 years ago

FIRST CORRECT ANSWER GETS BRAINLIEST

Mathematics

1 answer:

ivanzaharov [21]4 years ago

8 0

The answer is y=-2x+3 because the slope is -2 which solves the first half and then 3 is the y intercept so y=-2x+3

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Convert the rectangular coordinates (-9, 3V3) into polar form. Express the angle

Whitepunk [10]

Answer:

$(6\sqrt{3},\,\frac{5\pi}{6})$

Step-by-step explanation:

The radius r can be found from the relationship

$r^2=x^2+y^2\\r^2=(-9)^2+(3\sqrt{3})^2\\r^2=81+27=108\\r=\sqrt{108}\\r=6\sqrt{3}$

The point is in Quadrant II (-, +), so use the inverse cosine function to find the angle.

$\cos{\theta}=\frac{x}{r}=\frac{-9}{6\sqrt{3}}\\\cos{\theta}=-\frac{9}{6\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}}\\\cos{\theta}=-\frac{9\sqrt{3}}{6\cdot3}\\\cos{\theta}=-\frac{\sqrt{3}}{2}\\\\\cos^{-1}\frac{-\sqrt{3}}{2}}=\frac{5\pi}{6}$

See the attached image.

7 0

3 years ago

3. James travels 3,247 m to the park, then 582 m to the store. He then travels 1,634 m back to his house.

umka21 [38]

C approximately 5460 meters

4 0

3 years ago

Read 2 more answers

What is the explicit formula for this sequence?

ddd [48]

Answer:

$a_n=-7+4(n-1)$

$a_n=-7+(n-1)(4)$

Step-by-step explanation:

-7,-3,1,5,... is a arithmetic sequence.

Arithmetic sequences have a common difference. That is, it is going up by 4 each time.

When you see arithmetic sequence, you should think linear equation.

The point-slope form of a line is $y-y_1=m(x-x_1)$ .

m is the common difference, the slope.

Any they are using the point at x=1 in the point slope form. So they are using (1,-7).

So let's put this into our point-slope form:

$y-(-7)=4(x-1)$

$y+7=4(x-1)$

Subtract 7 on both sides:

$y=-7+4(x-1)$

So your answer is

$a_n=-7+4(n-1)$

6 0

4 years ago

Decimals between 10 and 15 with an interval of 0.75

IgorC [24]

10.75
11.50
11.80
12.55
13.30
14.05
14.80
15.55

3 0

3 years ago

Solve the equation and explain each step using apropriate Properties<br> -4(3x+6)+6=-30

Lina20 [59]

Answer:

The answer is x=1

Step-by-step explanation:

-4(3x+6)+6=-30

-12x-24+6=-30

-12x-18=-30

-12x-18+18=-30+18

-12x=-12

-12x/-12=-12/-12

x=1

6 0

3 years ago