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3 years ago

What expression is represented in the model below x y y y y x x x

Mathematics

2 answers:

Nataly [62]3 years ago

6 0

Y to the fourth power times x to the fourth power

tankabanditka [31]3 years ago

5 0

Y to the 4th power times x to the fourth power

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Write the equation in standard form. Identity the center and radius. x² + y2 + 8x-4y-7=0

lorasvet [3.4K]

Answer:

equation;

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

Center (-4,2)

Radius is

$3 \sqrt{3}$

Step-by-step explanation:

Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

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

Where (h,k) is center

r is the radius

So first we group like Terms together

${x}^{2} + 8x + {y}^{2} - 4y - 7 = 0$

Add 7 to both sides

${x}^{2} + 8x + {y}^{2} - 4y = 7$

$( {x}^{2} + 8x) +( {y}^{2} - 4y) = 7$

Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

$(\frac{8}{2} ) {}^{2} = 16$

and

$( - \frac{4}{2} ) {}^{2} = 4$

so we have

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 7 + 16 + 4$

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 27$

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

To find our center, h is -4 and k is 2

so the center is (-4,2)

The radius is

$\sqrt{27} = 3 \sqrt{3}$

So the radius is 3 times sqr root of 3.

8 0

2 years ago

Starlight tree farms sells douglas firs and noble first one December they sold 139 more douglas first than noble firs the total

Aloiza [94]

Part A:

Given that Starlight tree farms sells Douglas Firs and Noble First.

Let n be the number of Noble Fir trees sold, then if they sold 139 more Douglas First than Noble Firs, this means that the number of Douglas First trees sold is n + 139.

Given that the total number of trees sold was 377, then we have, n + n + 139 = 377, which means that 2n + 139 = 377

Therefore, the equation that could be used to solve for n, the number of Noble Fir trees sold is 2n + 139 = 377.

Part B:

Given that you are driving 55 miles per hour and you must drive a total of 440 miles. If you already driven 275 miles, then, the equation representing the number of hours, h, it will take to reach your destination is given by 55h + 275 = 440.

Subtracting 275 from both sides of the equation gives:

 $55h+275-275=440-275 \\ \\ \Rightarrow55h=165$

Dividing both sides by 55 gives:

 $\frac{55h}{55} = \frac{165}{55} \\ \\ \Rightarrow h=3$

Therefore, the time it will take you to reach your destination is 3 hours.

6 0

3 years ago

Last one - Thank you an advance :)

Ivan

Answers:
a. Given
b. Transitive property of congruence
c. Vertical angles are congruent
d. Transitive property of congruence

Let me know if you need any clarification as to how I got those answers. They should be self-explanatory but I'm happy to clarify further if needed.

5 0

3 years ago

Read 2 more answers

Tonya has a box that measures 12 cm by 7 cm by 19cm. what is the volume of the box. Please help

kaheart [24]

Answer: 1,596 cubic cm. To find the volume, you need to multiply all the three sides given.

Step-by-step explanation:

12cm * 7 cm* 19cm = 1596 cm^3

4 0

3 years ago

Define the following term. greatest common factor

prohojiy [21]

A GCF ( Greatest Common Factor) is one factor that can be split evenly between the two numbers you have chosen.

For example, the greatest common factor of 4 and 8 would be 4 because this is the greatest number that can be split evenly with the numbers I have chosen.

I hope this helped.

5 0

3 years ago