Write the equation of a line that is perpendicular to the equation y=2/3x-6, but that passes through the point (2, 3).

Answer:

A cardioid

Step-by-step explanation:

A cardioid is a curve in the shape of a heart traced by a point on the circumference of a circle as it rolls around a fixed circle of the same radius.

The equation of vertical cardioid is [tex]r=a[/tex] ± [tex]a\sin \theta[/tex]

Given the polar curve is [tex]r=[/tex] [tex]1+[/tex] 4 [tex]\sin \theta[/tex]

This is an equation of vertical cardioid.

So, it represents a cardioid.

Answer:

C - a limaçon with an inner loop

Step-by-step explanation:

If you have a graphing calculator, use it to plug in the equation.

Based on what you have learned, you will recognize the graph is C

Answer:

Henry has 3 apples

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

A kilometre is 1000 metres.  1000 / 25 = 40.  So forty basketball courts would be approximately 1 km if lined up end to end.

The answer is 40 because 1 kilometer divided by 25 meters would be 40 and each court is 25 meters so that is 40 courts in 1 kilometer.

Answer:

OD. x/y

Step-by-step explanation:

Answer:

2+3=5

4+5=9

2+1=3

2+5=7

an even number plus an odd number will be a an odd number because your always going to have an unequal amount when using an odd number and a even number

Answer:

87.96 cm

Step-by-step explanation:

I had this answer up but it got deleted for sum reason....

Answer:

a = 1

Step-by-step explanation:

Original Equation:

-1 + 8 = 10 - 3a

Add 1 to both sides

8 = 11 - 3a

Subtract 11 from both sides

-3 = -3a

Divide both sides by -3

a = 1

Hope this helps :)

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Answer:

a = 1

Step-by-step explanation:

-1 + 8 = 10 - 3a

   7 = 10 - 3a

 -10    -10

-3 = -3a

----   -----

-3     -3

1 = a

Answer:

The difference in prices is 0.12x where x is the last year’s price

Step-by-step explanation:

Here, we want to create an expression

Let the price last year be x

12% more this year mean;

x + 12% of x

= x + 0.12x = 1.12x

So the difference between this year and last year will be;

1.12x - x = 0.12x

Answer:

x=2

Step-by-step explanation:

26 divided by 13 is 2

Answer:

26- 8n

Step-by-step explanation:

-10n + 20 + 2n + 6

-10n+2n +6 +20

-8n + 26

Best regards

Answer:

-8n+26

Step-by-step explanation:

Answer: The slope is -3 and the y- intercept is (0,2)

Step-by-step explanation:

Answer:

What’s the question?

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

8 and one thirds

Step-by-step explanation:

5 times 5 is equal to 25 and 25 divided by 3 is 8.3333

Answer:

$8.33

Step-by-step explanation:

So, to figure out how much one mango costs, I did $5 divided by 3, which gave me 1.66.

I then multiplied that by 5 to see how much 5 mangos cost, and I got $8.33

Answer:

1. x = 7

2. x = -5

Step-by-step explanation:

1. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: 2*x+5*(6*x-9)-(179)=0

Pull out like factors  6x - 9  =   3 • (2x - 3)

 (2x +  15 • (2x - 3)) -  179  = 0

Pull out like factors: 32x - 224  =   32 • (x - 7)

Solve: x-7 = 0

Add  7  to both sides of the equation  = 7

2. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: -40-(6*x-5*(-4*x-18))=0

Pull out like factors: -4x - 18  =   -2 • (2x + 9)

 -40 -  (6x -  -10 • (2x + 9))  = 0

Pull out like factors:  -26x - 130  =   -26 • (x + 5)

-26 • (x + 5)  = 0

Solve: x+5 = 0

Subtract  5  from both sides of the equation: x = -5

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Thanks!

Answer:

Step-by-step explanation:

To find the center and the radius, we need to put the equation in the (x-a)^2+(y-b)^2=r^2 [a is the x-coordinate, b is the y-coordinate, and r is the radius].

(x+6)^2+(y+7)^2 - 36 - 49 + 69 = 0

(x+6)^2+(y+7)^2 - 16 = 0

(x+6)^2+(y+7)^2 = 16

(x+6)^2+(y+7)^2 = 4^2

The center is (-6,-7) and the radius is 4.

Hope this helps!

Step-by-step explanation:

Calculate sin(70)°

Determine quadrant:

Since our angle is between 0 and 90 degrees, it is located in Quadrant I In the first quadrant, the values for sin, cos and tan are positive.

Determine angle type:

70 is an acute angle since it is less than 90°

sin(70) = 0.93969262030844

Write sin(70) in terms of cos

Since 70° is less than 90,

we can express this in terms of a cofunction

sin(θ) = cos(90 - θ)

sin(70) = cos(90 - 70)

sin(70) = cos(20)

Answer:

2:1

Step-by-step explanation:

Answer:

option C is the correct answer

Step-by-step explanation:

Answer:

7.95$

Step-by-step explanation:

1.87 $ per 1 lb

1.87 * 4.25 = 7.95$

Answer:

$7.95 for 4.25 lbs. of grapes

Step-by-step explanation:

so your going to multiply $1.87 by 4.25 to get the total amount of money needing to be paid in or der to buy the 4.25 lbs. of grapes:

$1.87 * 4.25 = 7.9475

now turning it into money by rounding to the hundredths place:

7.9475 = $7.95

So you would have to pay $7.95 for 4.25 lbs. of grapes but logically you would bring 8 dollars to buy it, but down to the cents it would be $7.95.

Answer:Step-by-step explanation:

slope is 1

y intercept is 4

equation y= 1x+4

Answer:

The Ratio is 12 - 3

Step-by-step explanation:

There are 12 bicycles and 3 scooters so the ratio is 12 -3 or if simplified 4-1

Answer:I say A because the ration is 12:3

Step-by-step explanation:

Step-by-step explanation:

You're sure?

But I thought that for calculating distance

Answer:

64 in³

Step-by-step explanation:

8 x 4 = 32, 32 x 2 = 64 :D