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tensa zangetsu [6.8K]
2 years ago
14

HELPPP PLEASE ANSWER FAST CLASS IS ALMOST OVER!!!

Mathematics
1 answer:
Gnom [1K]2 years ago
8 0

9514 1404 393

Answer:

  (x -2)^2 + (y +4)^2 = 18

Step-by-step explanation:

To find the constant the expression is equal to, fill in the coordinates of the given point and do the arithmetic.

  (-1 -2)^2 +(-1+4)^2 = 9 + 9 = 18

The equation of the circle is ...

  (x -2)^2 + (y +4)^2 = 18

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John buys 3 pounds of cherries and 2 pounds of bananas he pays a total of $24.95 the bananas cost $6.50 less per pound than the
Murrr4er [49]

John will pay $8.68 for the combined cost of 1 pound of banana and 1 pound of cherries.

Let: b=cost of banana per pound and c=cost of cherries per pound

Equation 1: For 3 pounds of cherries and 2 pounds of bananas, John pays a total of $24.95.

3c + 2b =$24.95

Equation 2: The cost of bananas is $6.50 less than a pound of cherries.

b= c - $6.50

We can substitute the second equation into the first one to solve for the cost of cherries per pound.

3c + (2)(c-$6.50)= $24.95

3c + 2c -$13.00 = $24.95

5c = $24.95 + $13.00

c = $7.59

Substituting the value of c to the second equation to solve for b.

b= $7.59 - $6.50 = $1.09

The combined cost of 1 pound of banana and 1 pound of cherries is $1.09 + $7.59 or $8.68.

For more information regarding the system of equations, please refer to brainly.com/question/25976025.

#SPJ4

4 0
1 year ago
If tan theta = startfraction 11 over 60 endfraction, what is the value of cot theta?
Dennis_Churaev [7]

The value of cot\theta when tan\theta =\frac{11}{60} comes to be \frac{60}{11}.

Given that trigonometric ratio:

tan\theta = \frac{11}{60}

<h3>What is the tangent of an angle?</h3>

The tangent of an angle is the ratio of the opposite side(to that angle) to the adjacent side(to that angle).

So, for the given problem

Opposite side to \theta = 11

Adjacent side to \theta = 60

So, cot \theta =\frac{AdjacentSide }{OppositeSide}

cot\theta =\frac{60}{11}

Therefore, the value of cot\theta when tan\theta =\frac{11}{60} comes to be \frac{60}{11}.

To get more about trigonometric ratios visit:

brainly.com/question/24349828

6 0
1 year ago
What is the solution to 2/3(9x-6)=4(x+2)+ 2 round to the nearest hundredth
ipn [44]

Answer:

7

Step-by-step explanation:

First expand 2/3 (9x-6) = 4 (x+2)+ 2 By doing 2/3 (9x - 6)/3

Which gives you 2/3 (9x - 6)

Then you factor it 2/3 (9x - 6) 6 (3x - 2) get 6 (3x - 2) / 3

then you divide 6/3 with 2

Getting 2 (3x - 2)

The use the distributive law

2 x 3x - 2 x 2

simplify the equation

6x - 4

expand 4 (x +2) + 2:   4x + 10

which then equals 6x-4=4x+10

add 4 to both sides

6x-4+4=4x+10+4

simplify

6x=4x+14

subtract 4x from both sides

simplify again

2x=14

divide both sides by 2

2x/2 = 14/2

simplify one last time and get the answer

x=7

8 0
2 years ago
A rectangular swimming pool measures 50 meters in length and 25 meters in width.
Leya [2.2K]

Answer:

the interdependence. the only one of those things. I have been waiting for about the benefits. the bag. the bag. the only thing is to have a

Step-by-step explanation:

great time in my life and death of his own. the bag for the duration, and I am pretty sure hope so, I will have a lot. I will have the ability for you, I will be able. . Doctors in the world. I have a lot of fun. we will need the following

5 0
3 years ago
Applying the Segment Addition Postulate
blsea [12.9K]

Answer:

144

Step-by-step explanation:

Find: Length of segment BC

CD+DB=BC

3x+8+4x+10=BC

7x+18=BC

BC also equals 8x (given on the screen shot)

7x+18= 8x

x=18

18 times 8 = 144

Check:

3( 18) + 8 + 4(18) + 10

54+8 + 72+10

64+ 80= 144  TRUE

7 0
3 years ago
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