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3 years ago

11

(x+2)^2+(y-3)^2=183 center and radius

1 answer:

kherson [118]3 years ago

3 0

The center is (-2,3) and the radius is the square root of 183.

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What is the value of 2(x+y)² when X=3 and Y=4 ?

otez555 [7]

Answer:

98

Step-by-step explanation:

Step 1: Define

2(x + y)²

x = 3

y = 4

Step 2: Substitute and Evaluate

2(3 + 4)²

2(7)²

2(49)

98

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3 years ago

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A candy store makes a 9-pound mixture of gummy candy, jelly beans, and hard candy. The cost of gummy candy is $2.00 per pound, j

Musya8 [376]

Let

x--------> the amount of gummy candy in pounds

y--------> the amount of jelly beans in pounds

z--------> the amount of hard candy in pounds

we know that

$x+y+z=9$ --------> equation $1$

$2x+3y+3z=23$ --------> equation $2$

$x=2y$ --------> equation $3$

Substitute equation $3$ in equation $1$ and equation $2$

$[2y]+y+z=9$ -----> $3y+z=9$ ------> equation $4$

$2[2y]+3y+3z=23$ -----> $7y+3z=23$ ------> equation $5$

using a graphing tool ------> Solve the system of equations

see the attached figure

the solution is the point $(3,2)$

$z=3\ pounds\\y=2\ pounds$

<u>Find the value of x</u>

$x=2y$

$x=2*2=4\ pounds$

therefore

<u>the answer is</u>

the amount of gummy candy is $4\ pounds$

the amount of jelly beans is $2\ pounds$

the amount of hard candy is $3\ pounds$

8 0

3 years ago

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What is the sum of 20x^2-10x-30

ivann1987 [24]

Answer:

The sum of the roots is 0.5

Step-by-step explanation:

<u><em>The correct question is</em></u>

What is the sum of the roots of 20x^2-10x-30

we know that

In a quadratic equation of the form

$ax^{2} +bx+c=0$

The sum of the roots is equal to

$-\frac{b} {a}$

in this problem we have

$20x^{2} -10x-30=0$

so

$a=20\\b=-10\\c=-30$

substitute

$-\frac{(-10)} {20}=0.5$

<u><em>Verify</em></u>

Find the roots of the quadratic equation

The formula to solve a quadratic equation is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

$a=20\\b=-10\\c=-30$

substitute

$x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}$

$x=\frac{10\pm\sqrt{2,500}} {40}$

$x=\frac{10\pm50} {40}$

$x=\frac{10+50} {40}=1.5$

$x=\frac{10-50} {40}=-1$

The roots are x=-1 and x=1.5

The sum of the roots are

$-1+1.5=0.5$ ----> is ok

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ANSWER NOW PLEASE!!!!!!!!!!!!!!!! Mason and Laney ran laps to train for the long-distance running team. The ratio of the number

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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