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3 years ago

Complete the equation of this circle:

Mathematics

1 answer:

Ghella [55]3 years ago

4 0

Answer:

(x - 3)^2 + (y - 2)^2 = 4^2

Step-by-step explanation:

Looking at the graph its obviously a circle as it said.

We have to find (h,k) and the radius of that circle.

(h, k) = (3,2)

Origin to the edge of the A.

radius = 4

(x - 3)^2 + (y - 2)^2 = 4^2

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Bob took his family out to lunch. He bought 3 hot dogs and 2 hamburgers for $11. If the guy in front of him bought 2 hot dogs an

Dafna11 [192]

Answer:

Hotdog: $1.50

Hamburger: $3.25

Step-by-step explanation:

You write down the 2 equations based off of the information as I did:

Let x = cost of a hotdog

Let y = cost of a hamburger

and so:

3x + 2y = 11

2x + 4y = 16

Now, we need to find x and y:

We will make both equations equal to y to compare them to each other.

2y = 11 - 3x

y = 5.5 - 1.5x

4y = 16 - 2x

y = 4 - 0.5x

4 - 0.5x = 5.5 - 1.5x

x = $1.5

Now plugging in x into the equation:

2(1.5) + 4y = 16

3 + 4y = 16

4y = 13

y = $3.25

And so hotdog = $1.5 and hamburger = $3.25

6 0

3 years ago

True or false

Paraphin [41]

Answer:

The given statement is FALSE.

Step-by-step explanation:

If the original expression is defined for all values of x , then this implies there is no real value of x such that the original expression is not defined.

Hence, the original expression has domain all real values x

Now, the simplified form which is obtained by simplifying the original expression may not have the same domain as the original expression.

So, if original expression is defined on some value of x then it might be possible that the simplified expression may not be defined on that value of x.

So, we need to specify the absolute value in the simplified expression.

Hence the given statement is FALSE.

8 0

3 years ago

Maria is climbing a mountain. Maria's elevation, E(t) , in feet after t minutes is given by E(t) = 1200 + 40t.

svetlana [45]

E(t) is the elevation Maria is at at t minutes.

The expression to calculate the elevation is 1200 + 40t.

E(t) = 1200 + 40t

E(15) means the elevation Maria is at at time 15 minutes.

E(15) = 1200 + 40(15)

E(15) = 1200 + 600

E(15) = 1800

E(15) = 1800 means that Maria is at an elevation of 1800 ft after 15 minutes.

7 0

4 years ago

In the magic square shown, the sums of the numbers in each row, column and diagonal are the same. What are the values of x, y, z

garri49 [273]

$v=23$ , $w=19$ , $x=22$ , $y=26$ , $z=20$ ;; to find the answer, set the expressions equal to each other, since the sum of the numbers should be the same.

Use $v+w+24=v+43$ and solve for $w$ , which would result in $w=19$ .

You can also use $x+z+24=z+46$ to find $x$ – or $x=22$ .

Plug in the values for $x$ and $w$ , and find $y$ using $25+22+19=y+40$ or $66=y+40$ and results in $y=26$ .

After plugging in the $y$ value, you can easily find $v$ and $z$ .

$v+18+25=66$ – since 66 is the sum of a full row, and the sums of the numbers in each row, column, and diagonal are the same, so therefore, $v+43$ should also equal 66. This results in $v=23$ , and, using the same value for the sum of $z+21+25$ , or $z+46=66$ , we find that $z=20$ .

The final answer is $v=23$ , $w=19$ , $x=22$ , $y=26$ , $z=20$ .

Sorry it took so long;; I hope this helps :)

5 0

4 years ago

Which expression has a value of 39?

Ludmilka [50]

I think the answer to this one would be B

4 0

2 years ago