The circle passes through the point (-1,-6). What is its radius?

Me. Watson is making 34.6 fluid once's of red paint and 18.6 fluid ounces of yellow paint to make orange paint. How many 3.5- fl

forsale [732]

Answer: She can fill about 15 3.5- fluid once jars.

Step-by-step explanation:

Given:

Quantity of red paint = 34.6 fluid ounces

Quantity of yellow paint = 18.6 fluid ounces

Total quantity of orange color = (Quantity of red paint )+(Quantity of yellow paint )

= (34.6+18.6) fluid ounces

= 53.2 fluid ounces

Number of 3.5- fluid ounce jars she can fill = (Total quantity of orange color) ÷ 3.5

= 53.2÷3.5 = 15 (approx)

Hence, She can fill about 15 3.5- fluid once jars.

7 0

3 years ago

11z > -33 help please

stich3 [128]

11z > -33

11z / 11 > 33 / 11

z > 3

Hope it helps!

6 0

3 years ago

Given the function f(x) = 2|x + 6| – 4, for what values of x is f(x) = 6?

lara [203]

Answer:

x = -1 , - 11,

Step-by-step explanation:

| x | = x

|- x | = x

f(x) = 2 | x + 6 | - 4

x = - 1 , f( - 1) = 2 | - 1 + 6 | - 4 = 2 | 5 | - 4 = 10 - 4 = 6 , True

x = 1 , f( 1 ) = 2 | 1 + 6 | - 4 = 2 | 7 | - 4 = 14 - 4 = 10 , False

x = 11, f( 11 ) = 2 | 11 + 6 | - 4 = 2 | 17 | - 4 = 34 - 4 = 30 , False

x = - 11, f( - 11) = 2 | -11 + 6 | - 4 = 2 | - 5 | - 4 = 10 - 4 = 6 , True

x = 14 , f( 14 ) = 2 | 14 + 6 | - 4 = 2 | 20 | - 4 = 40 - 4 = 36 , False

x = -14 , f( - 14 ) = 2 | - 14 + 6 | - 4 = 2 | - 8 | - 4 = 16 - 4 = 12 , False

x = - 26 , f( - 26) = 2 | -26 + 6 | - 4 = 2 | -20 | - 4 = 40 - 4 = 36 , False

x = 26, f( 26 ) = 2 | 26 + 6 | - 4 = 2 | 32 | - 4 = 64 - 4 = 60 , False

OR

Given f ( x ) = 6

f( x ) = 2 | x + 6 | - 4

6 = 2 | x + 6 | - 4

6 + 4 = 2 | x + 6| - 4 + 4 [ adding 4 to both sides ]

10 = 2 | x + 6 | + 0

5 = | x + 6 | [ dividing both sides by 2 ]

$- 5 =\ ( x+ 6) \ = 5\\\\$ $[ \ | x | = a\ => \ -a \ = x \ = a \ ]$

$- 5 - 6 = \ x + 6 - 6 \ = \ 5 - 6\\$ $[ \ subtracting \ by \ 6 \ ]$

$-11 = \ x \ = - 1$

3 0

3 years ago

The population of Hillsborough County in Florida in 2010 was 1,229,226 and the land

Kruka [31]

Answer:

About 1205.12352941 people per square mile in 2010

About 1329.36306853 people per square mile in 2015

Explanation:

take population and divide by land area

for 2015 pop do total pop divided by 9.7 plus total pop

6 0

3 years ago

Solve the equation and graph the solution(s), if possible. 9|4p + 2| + 8 = 35

Cerrena [4.2K]

Solving an equation means finding a value of a variable that make the equation true. This value is called the solution of the equation. A mathematical equation is just like a balanced equation. Both sides of the equation should be equal at all times. Whatever we do to one side, has to be done on the opposite side.

$9|4p + 2| + 8 = 35$

$
9|4p+2|=35-8
 
$ $Subtract \ 8 \ from \ both \ sides$

$9|4p+2|=27

 
$

$|4p+2|= \dfrac{27}{9}$ $Divide \ both \ sides \ by \ 9$

$|4p+2|=3$

$Break \ down \ the \ problem \ into \ these \ 2 \ equations$

$
4p+2=3
 
$

$-(4p+2)=3$

$Solve \ the \ 1st \ equation: \ 4p+2=3$

$4p=3-2$ $Subtract \ 2 \ from \ both \ sides$

$4p=1$

$p= \dfrac{1}{4}$ $Divide \ both \ sides \ by \ 4$

$Solve \ the \ 2nd \ equation: \ -(4p+2)=3$

$-4p−2=3$ $Simplify \ brackets$

$-4p=3+2$ $Add \ 2 \ to \ both \ sides$

$-4p=5$

$p= -\dfrac{5}{4}$

$Collect \ all \ solutions$

$p= -\dfrac{5}{4}$ , $p= \dfrac{1}{4}$

8 0

3 years ago