Convert r=5/3sinθ−cosθ to rectangular form.


Enter your answer in slope-intercept form by filling in the boxes. Enter values so that fractions are simplified.

Answer:

y = 1x-5

Step-by-step explanation:

We know two points so we can find the slope

(0,-5) and (5,0)

m = ( y2-y1)/(x2-x1)

   = ( 0 - -5)/(5-0)

   (0+5)/(5-0)

    5/5

=1

We know the y intercept = -5

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

y = 1x-5

Answer:

ans: D

Step-by-step explanation:

suppose

y = 3x +1 be equation••••••1

and

y = -2x - 4

-y= 2x + 4 be equation ••••••2

add equation 1 and 2 as

y = 3x + 1

-y = 2x + 4

0 = 5x + 5

so ,

5x = - 5

x = - 1

put x In either equation 1 or 2 to get y= - 2

OR,

since given equation intersects each other ,

use substitution method ,

Answer:

D

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The lines intersect at (- 1, - 2 ) ← solution → D

Answer:

6

Step-by-step explanation:

answer is in photo above

well...

if all three bags cost $4,000 then you'll need $3,700.

but if one bag costs $4,000 then that'll equal to $12,000 which then you'll need $11,700.

i might've misundestood your question so please let me know if this is correct!

Answer:

none of these

Step-by-step explanation:

A number is divisible by 10 if the last digit of the number is 0. The numbers 20, 40, 50, 170, and 990 are all divisible by 10 because their last digit is zero, 0.

Answer:

3.5 m

Step-by-step explanation:

PQ = 5/(5+5) × 7

= 5/10 × 7

= 3.5 m

Answer:

Rectangle = 48 un²

Triangle = 12 un²

Total = 60 un²

Step-by-step explanation:

Area rectangle = 8 x 6 = 48 un²

Area triangle = 1/2 ( 6 x 4) = 1/2 ( 24 ) = 12 un²

Total = 48 un² + 12 un² = 60 un²

To check the total area, find the area of the trapezoid:

1/2 ( 8 + 12) * 6 =

(20 * 6)/2 =

120 / 2 = 60

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

I believe you meant:

If the average, mode, and range of 5 different numbers are all 8, find the sum of all possible values and the second largest number

Answer:

Sum of all possible values = 40

Second largest number= 8

Explanation:

Since our mean, mode, and range is 8, our sum is 40 and our second largest number is 8.

The sum of all the numbers is 40 since our mean is 8 and there are 5 numbers(8×5)

To find possible values, we already know the mode is 8 and so we know 8 must appear more than once. If we have 8 twice then we are left with 24(sum is 40). We have 3 numbers left and the range is 8 so we must have a maximum number and minimum number that has a difference of 8 and a third number, all adding up to 24(sum left). Within 24, only 12-4+8 satisfies the condition, hence our numbers are: 4,8,8,8,12.

Answer:

32

Step-by-step explanation:

[tex]g(13) = 16 \\ f(16) = 32[/tex]

Answer:

[tex]\frac{1}{5\/}[/tex](4+m)

Step-by-step explanation:

[tex]\frac{1}{5\/}[/tex](4+m)

Hope this helps!

Answer:

is there a pic to go along? i need more to this..

Answer:

Six

Step-by-step explanation:

10 - 4 = 6

-4 + 10 = 6

Answer:

6

Step-by-step explanation:

[tex] - 4 + 10 = 6[/tex]

6

Answer:

√x-9=4

square on both sides

x-9=4*4

x-9=16

x=16+9

x=25

.

.hope it helps

plz mark as brainliest

[tex]( {x \sqrt{x} })^{x} = {x}^{x \sqrt{x} } [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]

Let us first solve for L. H. S.

Substituting the value [tex]x\:={ \frac{9}{4} } [/tex], we have

➼[tex]\:( { \frac{9}{4} \sqrt{ \frac{9}{4} } })^{ \frac{9}{4} } [/tex]

➼[tex] \: ({ \frac{9}{4} \sqrt{ \frac{( {3})^{2} }{( {2})^{2} } } })^{ \frac{9}{4} } [/tex]

➼[tex] \: ({ \frac{9}{4} \times \frac{3}{2} })^{ \frac{9}{4} } [/tex]

➼[tex] \: ( { \frac{3 \times 3 \times 3}{2 \times 2 \times 2} })^{ \frac{9}{4} } [/tex]

➼[tex] \: ({ \frac{ {3}^{3} }{ {2}^{3} } })^{ \frac{9}{4} } [/tex]

➼[tex] \: ({ \frac{3}{2} })^{ \frac{9 \times 3}{4} } [/tex]

➼[tex] \: ({ \frac{3}{2} })^{ \frac{27}{4} } [/tex]

Now let us find R. H. S.

➺[tex]\: {x}^{x \sqrt{x} } [/tex]

➺[tex]\: { \frac{9}{4} }^{ \frac{9}{4} \sqrt{ \frac{9}{4} } } [/tex]

➺[tex] \: ( { \frac{ {3}^{2} }{ {2}^{2} } })^{ \frac{9}{4} \sqrt{ \frac{ {3}^{2} }{ {2}^{2} } } } [/tex]

➺[tex] \: ({ \frac{3}{2} })^{ 2 \times \frac{9}{4} \times \frac{3}{2} } [/tex]

➺[tex] \: { \frac{3}{2} }^{ \frac{54}{8} } [/tex]

➺[tex] \: ( { \frac{3}{2} })^{ \frac{27}{4} } [/tex]

Since L. H. S = R. H. S

➝[tex] \: ({ \frac{3}{2} })^{ \frac{27}{4} } =( { \frac{3}{2} })^{ \frac{27}{4} } [/tex]

[tex]\boxed{Hence\:proved.}[/tex] ✔

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

FGAC ‎20 ‎JH ‎Н

Step-by-step explanation:

FGAC ‎20 ‎JH ‎Н

Answer:

-1 ≤ x  < 3

Step-by-step explanation:

2 ≤ 2x + 4 < 10

Subtract 4 from all sides

2-4 ≤ 2x + 4-4 < 10-4

-2 ≤ 2x  < 6

Divide all sides by 2

-2/2 ≤ 2x/2  < 6/2

-1 ≤ x  < 3

Answer:

m^2-n^2+6n-9

m^2-6n^2-9

Answer:

12 5/24 thats the answer

Step-by-step explanation:

use this website for mixed number calculator: https://www.calculatorsoup.com/calculators/math/mixednumbers.php

Answer:

Greater

Step-by-step explanation:

Because x-3 must be greater or equal zero and x must be not equal -2

Answer:

x=40

Step-by-step explanation:

1/5x=8

x=8*5=40

x=40

Answer:

I can't see the small numbers.post it again

Step-by-step explanation:

Answer:

1 maps to 1

2 maps to 3

3 maps to 2

Step-by-step explanation:

the correctly assigned answer options describe everything.

there is not much else to say and explain.

these are all true statements due to the symmetry principle of a circle.

when 2 direct connections of two points on the circumference of a circle have the same length, then also their bent distances on the circumference of the circle are the same. and vice versa.

and yes, the perpendicular radius (or diameter) of the circle towards such a line cuts this line in half.

Answer:

So whats the question?

Answer:

Step-by-step explanation:

The amount to be paid = The new price

where;

New price = (100-x)/100 * Original price

Original price = 40.00

x = discount

100-35/100 * 40.00

65/100 *40

26 shilling

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The right part of the function is a line and its equation must be linear (the exponent of the x must be 1)

The lines start at x = 1. We can say that because there is a black dot

the x of the second function keep decreasing

Thanks to these informations we can say that the answer is D

Answer:

[tex]W=2.58 unit[/tex]

[tex]L=15.5 unit[/tex]

Step-by-step explanation:

From the question we are told that:

Area [tex]A=40[/tex]

Equation

Length [tex]L=6LW[/tex]

Generally the equation for Area of a rectangle is mathematically given by

 [tex]A=L*W[/tex]

 [tex]A=W*(6W)[/tex]

 [tex]A=6W^2[/tex]

 [tex]W=\sqrt{40/6}[/tex]

 [tex]W=2.58 unit[/tex]

Therefore Length is

 [tex]L=6W[/tex]

 [tex]L=6(2.58)[/tex]

 [tex]L=15.5 unit[/tex]

Length = 10

Width = 4

The dimensions of the rectangle would be 10 by 4.

Answer:

ss

Step-by-step explanation:

sas

The radius of the circle who center is at ( 5 , 2 ) and the point on the circle is ( -3 , 4 ) is given by r = 2√17 units

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the radius of the circle be r

Let the center of the circle be A ( 5 , 2 )

Let the point on the circle be P ( -3 , 4 )

Now , standard form of a circle is

( x - h )² + ( y - k )² = r²

So , r² = ( 5 - ( -3 ) )² + ( 2 - 4 )²

On simplifying the equation , we get

r² = ( 8 )² + ( 2 )²

r² = 64 + 4

r² = 68

Taking square roots on both sides , we get

r = √68

r = 2√17

Hence , the radius of the circle is 2√17 units

To learn more about circle click :

https://brainly.com/question/28391204

#SPJ2

Answer:

Step-by-step explanation:

Remark

You are going to use the Pythagorean Theorem. The trick is to find the length of the leg making up the base of the triangle.

That base is equal to the difference between the two bases.

Solution

The base of the triangle = 2x + 1 - (x + 3)      Remove the brackets.

base = 2x + 1 - x - 3

base = x - 2

Now the height of the trapezoid is also the second leg of the triangle. Apply the Pythagorean Theorem.

c^2 = a^2 + b^2

a = x - 2

b = x + 4

c = 2x

4x^2 = (x - 2)^2 + (x + 4)^2                              Expand the brackets

4x^2 = x^2 - 4x + 4 + x^2 + 8x + 16                Collect like terms

4x^2 = 2x^2 + 4x + 20                                    Subtract the right side from the left.

4x^2 - 2x^2 - 4x - 20 = 0

2x^2 - 4x - 20 = 0                                            Divide by 2

2x^2/2 - 4x/2 - 20/2 = 0              

x^2 - 2x - 10 = 0

x = - b +/- sqrt(b^2 - 4*a*c)/ 2a

a = 1

b = - 2

c = - 10

x = (- -2 + / - sqrt((-2)^2 - 4*(1)*(-10) ) / 2

x = (2 + / - sqrt(4 + 40 ))/2                      Only the plus root has any meaning.

x = ( 2 + sqrt(44 ) )/2

x = ( 2 + 2*sqrt(11) ) / 2

x = 1 + sqrt(11)

sqrt(11) = 3.3166

x = 1 + 3.3166

x = 4.3166

Answer:

x = 20

Step-by-step explanation:

Given BD = CD then Δ BCD is isosceles and the 2 base angles are congruent

∠ CBD = ∠ BCD = 40° , then

∠ BDC = 180° - (40 + 40)° = 180° - 80° = 100° ← sum of angles in triangle

Sum the 3 angles of Δ ACD and equate to 180

20 + 100 + x + 40 = 180

160 + x = 180 ( subtract 160 from both sides )

x = 20