MATHEMATICS COLLEGE

X^2-10x+y^2-20y=-125 what is x+y=?

Answers

Answer 1

Answer:

The value of x + y from the equation $x^2-10x+y^2-20y=-125$ is 15

The equation is given as:

$x^2-10x+y^2-20y=-125$

Add 125 to both sides of the equation

$x^2-10x+y^2-20y+125 = 0$

Express 125 as 100 + 25

$x^2-10x+y^2-20y+100 +25 = 0$

Rewrite the equation as:

$x^2-10x +25+y^2-20y+100 = 0$

Group the expressions

$[x^2-10x +25]+[y^2-20y+100 ]= 0$

Express the expressions in both groups as perfect squares

$(x - 5)^2+(y - 10)^2= 0$

Possible equations from the above equation is:

$(x - 5)^2= 0$ and $(y - 10)^2= 0$

Take the square roots of both sides

$x - 5= 0$ and $y - 10= 0$

Solve for x and y in the above equations

$x = 5$ and $y =10$

So, we have:

$x + y = 5 + 10$

$x + y = 15$

Hence, the value of x + y is 15

Read more about quadratic functions at:

brainly.com/question/1214333

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Como es la fórmula del perímetro de un hexágono?

Espero respuesta
Gracias

Answers

Answer:

El Perímetro de un hexágono es igual a la suma de todos sus lados.

Step-by-step explanation:

el perimetro siempre es la suma de los lados de cualquier figura

P=6a

Que tengas un buen día

What is the equation for this graph? Use y=mx+b

Answers

Answer:

The equation is y=2x+1.

Step-by-step explanation:

The y intercept is 1 and the slope is 2.

Find the surface area of a cylinder with a radius of 5 cm and a height of 30 cm. Use 3.14

Answers

Whole formula 2*pi*radius^2 + 2*pi*radius*height:

157+942= 1099

SA= 1099

A shipment of beach balls with a mean diameter of 28 cm and a standard deviation of 1.3 cm is normally distributed. By how many standard deviations does a beach ball with a diameter of 26.7 cm differ from the mean?a. 1

b. 1.3

c. 2

d. 3

Answers

Answer: a. 1

Step-by-step explanation:

Given : Population mean : $\mu=28\ cm$

Standard deviation : $\sigma=1.3\ cm$

Let n be the number of times a beach ball with a diameter of 26.7 cm differ from the mean.

Then, we have

$28-n(1.3)=26.7\n\n\Rightarrow\ 1.3n=28-26.7\n\n\Rightarrow\ 1.3 n=1.3\n\n\Rightarrow\ n=1$

Hence, a beach ball with a diameter of 26.7 cm is 1 standard deviation differ from the mean.

-1 7/9 is the same as them sum of -2 5/6 and 1/3 times a number. what is the number?

Answers

-1 7/9= -2 5/6 + 1/3x
+2 5/6 to each side
-1 7/9 + 2 5/6 = 1 1/18

1 1/18 = 1/3x
Divide each side by 1/3

Answer is 3 1/6

Please help me with this real quick

Answers

Answer: 7.5 miles

Step-by-step explanation:

think of it as a triangle; the bold line is the hypotenuse, or x.

8 |\ x

|_\ it's not a good triangle but you get the point

and then get out pythagorean theorem: a^2+b^2=c^2

put the numbers in: 8^2 + 6^2 = x^2

do some math:

64+36=x^2

100=x^2 (and then find square root)

10=x

BUT, it said each unit was 3/4 of a mile, so we must multiply 10 by 3/4 to get the actual distance, which is 7.5

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6-2d=42 What is D please help me find what it is