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3 years ago

Today only a sofa is being sold at a 24% discount . The sale price is $513. What was the price yesterday?

Mathematics

1 answer:

babymother [125]3 years ago

8 0

I couldn't solve the problem.

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Write the standard form of the equation of the circle with endpoints of a diameter at the points (7,2) and (-9,5).

lys-0071 [83]

Answer:

$(x+1)^2 + (y- 3.5)^2 =64$

Step-by-step explanation:

We are given that endpoints of a diameter at the points (7,2) and (-9,5).

Center of the circle is the mid point of diameter

So, first find the mid point of diameter

Formula : $x=\frac{x_1+x_2}{2} , y=\frac{y_1+y_2}{2}$

$(x_1,y_1)=(7,2)\\(y_1,y_2)=(-9,5)$

Substitute the values in formula

$x=\frac{7-9}{2} , y=\frac{2+5}{2}$

$x=-1 , y=3.5$

So, center of circle = (h,k )=(-1,3.5)

To find length of diameter :

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$(x_1,y_1)=(7,2)\\(y_1,y_2)=(-9,5)$

$d=\sqrt{(-9-7)^2+(5-2)^2}$

$d=\sqrt{265}$

Length of radius = r = $\frac{Diameter}{2}=\frac{\sqrt{256}}{2}$

Standard form of the equation of the circle : $(x -h)^2 + (y- k)^2 = r^2$

(h,k )=(-1,3.5)

$r=\frac{\sqrt{256}}{2}$

Equation of the circle : $(x+1)^2 + (y- 3.5)^2 =(\frac{\sqrt{256}}{2})^2$

Equation of the circle : $(x+1)^2 + (y- 3.5)^2 =64$

Hence the standard form of the equation of the circle with endpoints of a diameter at the points (7,2) and (-9,5) is $(x+1)^2 + (y- 3.5)^2 =64$

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4 years ago

Mary has a recipe for cranberry bread. she uses 6 and 2/3 cups of flour to make 2 loaves of cranberry bread.

sweet [91]

Answer: it’s the third one

Step-by-step explanation:

It is

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Factoriza C (x) 42x4 − 36x2 + 24x + 12

ki77a [65]

Answer:

factor out 12

$12(14cx - 5 + 2x)$

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3 years ago

Find the slope and the y-intercept of the graph of the linear equation.

Deffense [45]

Answer:

The slope is 8.000/2.000 = 4.000

The y-intercept is -7/1 = -7.00000

Step-by-step explanation:

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Decide whether the two expressions are equivalent for each problem below.

Vesnalui [34]

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