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lesantik [10]
2 years ago
8

Which graph represents the circle given by the equation x + y - 4x + 9y -7 = 0?

Mathematics
1 answer:
PSYCHO15rus [73]2 years ago
5 0

The graph of the circle equation is graph (d)

<h3>How to determine the circle?</h3>

The equation is given as:

x^2 + y^2 - 4x + 9y -7 = 0

Rewrite as:

x^2 - 4x + y^2 + 9y = 7

Express (x^2 - 4x) and (y^2 + 9y) as perfect squares.

So, we have:

(x - 2)^2 + (y + 3)^2 = 7 + 4 +  20.25

Evaluate the sum

(x - 2)^2 + (y + 3)^2 = 31.25

A circle equation is represented as:

(x - h)^2 + (y - k)^2 = r^2

Where

Center = (h, k)

Radius = r

So, we have:

(h, k) = (2, -3)

r^2 = 31.25

r = 5.5

The circle that has a center of (2, -3) and a radius of 5.5 is graph d

Hence, the graph of the circle equation is graph (d)

Read more about circle equation at:

brainly.com/question/1559324

#SPJ1

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Order the side lengths from least to greatest
Liula [17]

Answer:

BC < CE < BE < ED < BD

Step-by-step explanation:

In the triangle BCE,

m∠BEC + m∠BCE + m∠CBE = 180°

m∠BEC + 81° + 54° = 180°

m∠BEC = 180 -  135

m∠BEC = 45°

Order of the angles from least to greatest,

m∠BEC < m∠CBE > mBCE

Sides opposite to these sides will be in the same ratio,

BC < CE < BE ----------(1)

Now in ΔBED,

m∠BEC + m∠BED = 180°

m∠BED = 180 - 45

             = 135°

Now, m∠BDE + m∠BED + DBE = 180°

11° + 135°+ m∠DBE = 180°

m∠DBE = 180 - 146

             = 34°

Order of the angles from least to greatest will be,

∠BDE < ∠DBE < ∠BED

Sides opposite to these angles will be in the same order.

BE < ED < BD ----------(2)

From relation (1) and (2),

BC < CE < BE < ED < BD

7 0
2 years ago
HelloI need some assistance with this question. I provided an answer, but it was incorrect. The images are enclosed.
ycow [4]

Given:

There are given that the zeroes and degrees of the polynomial:

\begin{gathered} \text{zeros:}-2,2,4 \\ \text{Degres:}3 \end{gathered}

Explanation:

From the concept of a polynomial:

A polynomial has a as zero if and only if (x -a) is a factor of the polynomial.

Then,

From the given polynomial:

f(x)=(x+2)(x-2)(x-4)

Then,

\begin{gathered} f(x)=(x+2)(x-2)(x-4) \\ f(x)=(x^2-2x+2x-4)(x-4) \\ f(x)=(x^2-4)(x-4) \\ f(x)=x^3-4x^2-4x+16 \end{gathered}

Final answer:

Hence, the polynomial is shown below:

f(x)=x^3-4x^2-4x+16

6 0
1 year ago
The graph below shows the distance Sean rode his bike. Does this represent a proportional relationship?
Black_prince [1.1K]

We can see that for every 1 hour he increases 10 miles in his distance, so we can say it's constant, he started at 0 and increased 10 miles per hour.


Alternative C.

4 0
2 years ago
Read 2 more answers
Round 363 to the nearest ten and hundred
IRISSAK [1]
Its 400 because 363 is closer to 400 than 300
3 0
3 years ago
Read 2 more answers
Help please i will give a brainist
tangare [24]

Answer:

4 apples/ second

28800 apples in 2 hours

Step-by-step explanation:

20 apples / 5 seconds

Divide the top and bottom by 5

4 apples/ second

A few hours is 2 or 3

There are 3600 seconds in 1 hour

4 apples/ second * 3600 seconds / 1 hour = 14400 apples / hour

14400 apples/ hour

14400apples / hour * 2 hours

28800 apples in 2 hours

7 0
2 years ago
Read 2 more answers
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