The equation of a circle is (x+8)2+(y-5)2=14. What are the coordinates of the center of the circle?

Respuesta:

6 cm

Explicación paso a paso:

Paso 1: Información provista

Longitud de la hipotenusa (h): 10 cm

Longitud del cateto 1 (c₁): 8 cm

Paso 2: Calcular la longitud del cateto 2 (c₂)

Tenemos un triángulo rectángulo, es decir, que uno de sus ángulos es 90°. Conociendo la hipotenusa y uno de los catetos, podemos determinar la longitud del otro cateto usando el Teorema de Pitágoras.

h² = c₁² + c₂²

c₂² = h² - c₁²

c₂ = √(h² - c₁²)

c₂ = √((10 cm)² - (8 cm)²) = 6 cm

Answer:

a. x= 9

b. 70

c. 110

d. 70

e. 110

Step-by-step explanation:

a.

congruent angles have the same measure. 1 and 3 are congruent and 2 and 4 are congruent

2(12x+2)+2(7x+7)=360

divide both sides by 2

12x+2+7x+7=180

combine like terms

2+7=9

12x+7x=19x

19x+9=180

subtract both sides by 9

19x=171

divide both sides by 19

x=9

7x+7,

7*9+7

63+7 = 70

1 is 70, 3 is 70

12x+2, x=9

108+2 = 110

2 and 4 is 110

Answer:

Step-by-step explanation:

Angles 1 and 2 are supplementary (their sum is 180 degrees)

7x + 7 + 12x + 2 = 180

19x= 171

x = 9

m 1 = 7 * 9 + 7 = 70 degrees

m 2 = 12 * 9 + 2 = 108 + 2 = 110 degrees

m 3 = angle 1 and angle 3 are vertical, so they have the same measure: 70 degrees.

m 4 = angle 2 and angle 4 have the same measure: 110 degrees

Answer:

obtuse angle is 2 and acute angle is 1

Step-by-step explanation:

Obtuse Angle: An angle between 90 and 180 so angle 2 is an obtuse angle

Acute Angle: An angle between 0 and 90 so angle 1 is an acute angle

Answer:

People live in the U.S. = 320000000

Step-by-step explanation:

Below is the calculation of a number of people who live in the United States.

Since it is given that the population of the U.S is 10 times larger than Canada's population. So, multiply the Canadas population by 10 in order to get the U.S. population.

Canada population = 32 million or 32000000

Thus the U.S. population = 32000000 x 10 = 320000000

Answer:

f(x) = x³ - 3

Step-by-step explanation:

Given f(x) then the graph of f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < o then a shift down o c units

Here a shift down of 3 units, hence c = - 3, thus

f(x) = x³ - 3

Answer:

240 degrees

Step-by-step explanation:

360 - 120 = 240

Answer:

240° i think

Answer:

Rs 12,500

Step-by-step explanation:

the price before VAT = 100/10 × Rs 5000 =

Rs 50,000

the price before discount = 50,000 / 80%

= 50,000/0.8 = 62,500

so the discount amount = 62,500-50,000

= Rs 12,500

Answer:

Associative property of multiplication

Step-by-step explanation:

Associative property of multiplication is one of the properties used to solve mathematical questions

This is given by the formula

a × (b × c) = (a × b) × c

Therefore based on the above explanation, the property used in the product 30 × (-5 × 24) = (30 × -5) × 24 is called the Associative property of multiplication

Answer:

The answer is option C

Answer:

below

sin30 = x/8

x = 8 *sin30

x = 4

option A is Correct

a²+b²=c²

5²+9²=c²

25²+81²=c²

106=c²10.2

5

Answer:

- [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{8} }[/tex] = - [tex]\frac{8}{3}[/tex]

Answer:

2, 5, 6

Step-by-step explanation:

The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex], where all variables to the right are dimensions of the prism.

Therefore, we're looking for three numbers that multiply to be 60.

Since the question stipulates that no side length may be 10, we have:

[tex]2\cdot 5\cdot 6=60[/tex]

Answer:

the best value is two 50 ml bottles

Step-by-step explanation:

Okay focus with me , if you buy a bottle of 50 ml you will get a second for half price so we can say that --> 2 bottles of 50 ml =

[tex]45 + \frac{45}{2} = 67.5[/tex]

We get 100 ml with £67.5 just , but when you buy 80ml you must pay £55 Hum !

then you can dived the volume of bottle with price ...

[tex] \frac{67.5}{100 } = 0.675[/tex]

[tex] \frac{55}{80} = 0.6875[/tex]

then :

[tex]0.675 < 0.6875[/tex]

so the best value is two 50 ml bottles

Answr 2.(1.3)^x

Step-by-step explanation:

Answer:

12 bananas

Step-by-step explanation:

We are collecting bananas.

Lets represent, the number of bananas collected by:

Alf = x

Jim = y

Sid = z

Jim has three times as many as Sid.

y = 3z

Alf has 4 times as many as Jim

x = 4y

x = 4 × 3z

x = 12z

Altogether they have 192.

x + y + z = 192..... Equation 1

We substitute

3z for y and 12z fox x in Equation 1

12z + 3z + z = 192

16z = 192

z = 192/16

z = 12

Therefore, since, the number of bananas Sid collected = z

Hence, Sid has 12 bananas exactly

Step-by-step explanation:

line a is perpendicular to B.

if the slope of line A is -3/4 what is the line of B

Answer:

6.5

Step-by-step explanation:

Cos = Adjacent/Hypotenuse

For the angle with the measure of 70°

Adjacent = x

Hypotenuse =  19

Hence, cos 70 = x/19

multiply both sides by 19

cos(70) * 19 = 19cos(70)

x/19 * 19 = x

we're left with x = 19cos(70)

19cos(70) = 6.5 ( rounded to the nearest tenth )

x = 6.5

I hope this is help full to u

thank you

Answer:

$ 12.50 = $ 25/2

Step-by-step explanation:

Money spent = $ 12.50

To convert the amount in fractions

[tex]12.50\\\\=\frac{1250}{100}\\\\=\frac{125}{10}\\\\=\frac{25}{2}[/tex]

So, the correct option is $25/2

Answer:

100 ldnncncbhggtix znzhkgzgjtuustashsh

Answer:

120 ways

Step-by-step explanation:

Here, we are looking at arranging around a table

To do this, we sit down one of the children and arrange the remaining around the one that we have sat down

In scenario like this, the number of possible arrangement ways will be;

(n-1)! ways

where n is the number of children which is 6 in this case

So the possible number of ways will be;

(6-1)! = 5! = 120 ways

Answer:

x=2

Step-by-step explanation:

Answer:

i hope this helps you

Step-by-step explanation:

answer is c

Answer:

10

Step-by-step explanation:

Answer:

  They represent positive and negative numbers.

Step-by-step explanation: