convert (-5√3,0) into polar form in radians in terms of π over the interval 0≤theta<2π

Answer:

y = -3x + 5

Step-by-step explanation:

For two lines to be perpendicular, the product of their slope must be -1.

Slope of the given line M = 1/3

Slope of the required line is m

If product is -1, then;

Mm = -1

1/3 m = -1

m = -3

SInce it intersects at the y intercept, y intercept c = 5

Get the required equation. Substitute m = -3 and c = 5 into the equation

y = mx+c

y = -3x + 5

Hence the required equation of the line is y = -3x + 5

Answer:

sorry where is figure.

Step-by-step explanation:

area of triangle ABE=area of triangle BE3

Answer:

VW = 29

Step-by-step explanation:

Perimeter of the triangle = 82

Perimeter of the triangle = 4x + (x + 3) + (3x - 1)

4x + (x + 3) + (3x - 1) = 82

4x + x + 3 + 3x - 1 = 82

8x + 2 = 82

8x = 82 - 2

8x = 80

x = 10

VW = 3x - 1

VW = 3(10) - 1

VW = 30 - 1

VW = 29

Answer:

The equation for the relationship is [tex]y = \frac{7}{2}\cdot x[/tex].

Step-by-step explanation:

Given that point [tex](x,y) = (6, 21)[/tex] is part of a direct relationship. That is:

[tex]y \propto x[/tex]

[tex]y = k\cdot x[/tex] (1)

Where [tex]k[/tex] is the proportionality constant.

If we know that [tex]x = 6[/tex] and [tex]y = 21[/tex], then the proportionality constant is:

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{21}{6}[/tex]

[tex]k = \frac{7}{2}[/tex]

Lastly, the equation for the relationship is [tex]y = \frac{7}{2}\cdot x[/tex].

Answer:

Yes

Step-by-step explanation:

g(x) = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{1}{4}[/tex]

y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{1}{4}[/tex] ....... (1)

(1) × 4

4y = - x + 1

x = - 4y + 1

y = - 4x + 1

f(x) = - 4x + 1

∴ f(x) and g(x) are inverses

Answer:

Umm I think you forgot to send the pic with this question  

Step-by-step explanation:

Hope I can help next time!!!!!!

Answer:

Step-by-step explanation:

y=mx+b

m=(y2-y1)/((x2-x1)=(2-4)/(3- -1)=-2/4=-.5

y=-.5(3)+b, using point (3,2)

2=-1.5+b

b=3.5

y= -.5x+3.5

Answer:

Step-by-step explanation:

Given that:

Principal = $650

Interest rate, r = 2.3% = 0.023 compounded daily

Time, t it takes for final amount, A to reach $880

Using the relation :

A = P(1 + r/n)^nt

n = number of times compounded per period

Hence, n = 365

880 = 650(1 + 0.023/365)^365t

880/650 = 1.0000630^365t

1.3538461 = 1.0000630^365t

Take the log

0.1315692 = 0.0000273596 * 365t

0.1315692 = 0.0099862t

t = 0.1315692 / 0.0099862

t = 13.175101

t = 13.18 years a

Answer:

abcd

Step-by-step explanation:

Answer: [tex]\frac{1}{2}\ \text{of}\ 130> 20\%\ \text{of}\ 320[/tex]

Step-by-step explanation:

[tex]20\%\ \text{of}\ 320\ \text{is}\\\Rightarrow \frac{20}{100}\times 320=64\ \text{miles}[/tex]

[tex]\frac{1}{2}\ \text{of}\ 130\ \text{is} \\\Rightarrow \dfrac{130}{2}=65\ \text{miles}[/tex]

clearly,  [tex]\frac{1}{2}\ \text{of}\ 130> 20\%\ \text{of}\ 320[/tex]

Answer: 11.5 feet

Step-by-step explanation:

We should note that for a right angles triangle, the square of the hypothenuse equals to the square of the opposite side and its adjacent. This can be expressed as:

Let the length of Fahims shadow be x

hypotenuse² = opposite² + adjacent ²

13² = 6² + x²

169 = 36 + x²

x² = 169 - 36

x² = 133

x =✓133

x = 11.53

= 11.5 feet to nearest tenth

Answer:

C 11.5

Step-by-step explanation:

Have a great day!

Answer:

5.2 Minutes, or 5 minutes and 12 seconds

Step-by-step explanation:

You can solve this problem by working backward.  Since our number gets smaller by a 1/10 or 0.1, in order to work backward we must multiply 3.60 by 10/9, since one tenth has been taken away already.  When we do this, we get 4.0.  When we add 1.2 minutes to that, we get a final answer of 5.2 minutes, or 5 minutes and 12 seconds.

Answer:

im assuming that it it went up 6,2 and prolly has a pattern and that this is just a graph problem

Step-by-step explanation:

Answer:

umm i dont knowe sorry

Step-by-step explanation:

Answer:

$6

Step-by-step explanation:

B- 3P+2C=$41

C-1P+2C=$29

since they both bought at least 1 popcorn and 2 candy you can just subtract 29 from 41. you get 12 which equals the other 2 popcorns that ben bought

12/2=6

since you need to find the price of 1 popcorn you have to divide 12 by 2

Answer: side CD = CY

Step-by-step explanation:

They are asking for ASA = Angle, Side, Angle. And they already gave you the two angles so they are asking for the side

Answer:

a^n+a^n+1

2a^n+1

1(2a^n+1)

Answer:

I think it is 6 sorry if it is wrong

Step-by-step explanation:

;-;

Answer:

Since 3^5 is equal to 243, that means if you were to evaluate 3^5, the answer would be 243. That means it would be very easy to evaluate as the answer is already stated to be equal to 243.

Answer:

(3, 2 )

Step-by-step explanation:

Given the 2 equations

4x + y = 14 → (1)

5x + 2y = 19 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate the y- term

- 8x - 2y = - 28 → (3)

Add (2) and (3) term by term to eliminate y

- 3x + 0 = - 9

- 3x = - 9 ( divide both sides by - 3 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

4(3) + y = 14

12 + y = 14 ( subtract 12 from both sides )

y = 2

solution is (3, 2 )

Step-by-step explanation:

[tex] \underline{ \underline{ \text{USING \: ELIMINATION \: METHOD}}}[/tex]

[tex] \underline{ \underline{ \text{ Solution}}} : [/tex]

Multiply equation ( i ) by 2 & Subtract from ( ii ). The equation ( i ) now becomes 8x +2y = 28 { 2 ( 4x + y ) = 2 × 14 }. Remember that while subtracting the sign of each term of equation ( i ) changes and now , it becomes -8x-2y = -28.

[tex] \text{5x + 2y = 19}[/tex]

[tex] \text{ - 8x - 2y = - 28}[/tex]

_____________________

[tex] \text{ - 3x = - 9}[/tex]

Solve for x :

⤑ [tex] \tt{x = \frac{ - 9}{ - 3}} [/tex]

⤑ [tex] \tt{x = 3}[/tex]

Now , substitute the value of x in equation ( ii ) :

⟼ [tex] \text{5 × \: 3 + 2y = 19}[/tex]

⟼ [tex] \text{15 + 2y = 19} [/tex]

⟼ [tex] \text{2y = 19 - 15}[/tex]

⟼ [tex] \text{2y = 4}[/tex]

⟼ [tex] \text{y = 2}[/tex]

[tex] \pink{ \boxed{ \boxed{ \tt{⤿ \: Our \: final \: answer : \boxed{ \boxed{ \tt{x = 3 \: and \: y = 4}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day night ! ♡

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Answer:

[tex]-21a^{3}+12a[/tex]

Step-by-step explanation:

We are given that

[tex]-3a\cdot (7a^2-4)[/tex]

We have to find the product .

To find the product we will multiply -3a with each term given in the bracket

[tex]-3a(7a^2)-3a(-4)[/tex]

[tex]-21a^{1+2}+12a[/tex]

By using the formula

[tex]a^{x}\cdot a^{y}=a^{x+y}[/tex]

[tex]-21a^{3}+12a[/tex]

Hence,

[tex]-3a\cdot (7a^2-4)=-21a^{3}+12a[/tex]

Answer:

photo albums = x

pictures =75( seven times of albums +5)

so

seven times of x is 7x and +5

7x +5 = 75

7x= 75-5

7x = 70

x=70÷7

x =10

x = 10 = photo albums

Answer:

vertical asymptotes at

x

=

±

1

horizontal asymptote at

y

=

0

Step-by-step explanation:

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the values that x cannot be and if the numerator is non-zero for these values then they are vertical asymptotes.

solve:

x

2

−

1

=

0

⇒

x

2

=

1

⇒

x

=

±

1

⇒

x

=

−

1

and

x

=

1

are the asymptotes

Horizontal asymptotes occur as

lim

x

→

±

∞

,

f

(

x

)

→

c

(a constant)

divide terms on numerator/denominator by the highest power of x, that is

x

2

f

(

x

)

=

4

x

x

2

x

2

x

2

−

1

x

2

=

4

x

1

−

1

x

2

as

x

→

±

∞

,

f

(

x

)

→

0

1

−

0

⇒

y

=

0

is the asymptote

Oblique asymptotes occur when the degree of the numerator > degree of the denominator. This is not the case here (numerator-degree 1 , denominator-degree 2) Hence there are no oblique asymptotes.

graph{(4x)/(x^2-1) [-10, 10, -5, 5]}

Answer:

7

Step-by-step explanation:

Answer:

1 hour or 60 minutes

Answer: B) -1/3i

Step-by-step explanation: 81(-1/3i)^4

Answer:

Step-by-step explanation:

81x^4=1

x^4=1/81

(x^4)^(1/4)=(1/81)^(1/4)

x=+\-1/3

so -1/3 is a solution

Answer:

Step-by-step explanation:

Direct variation is:

Options:

1.

2.

3.

Try the input/output to determine the direct variation:

Verify the other pairs:

This is also a direct variation

Answer:

Do ,Ct, OG hope it helps have a nice day