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3 years ago

Find the value of x. Write your response in the form x=_____.

Mathematics

1 answer:

aleksandrvk [35]3 years ago

6 0

21x-33°=180°-135°
21x=12°
x=12/21

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What is the equation of the circle with center (5,-4) and containing the points (5,-2)

gtnhenbr [62]

Answer:

The equation of a circle is $(x-5)^2+(y+4)^2=4$ .

Step-by-step explanation:

-The equation of a circle is:

$(x-h)^2+(y-k)^2=r^2$ (where center is $(h,k)$ , the point $(x_{1},y_{1})$ and the radius known as $r$ ).

-Use the center (5,-4) and the point (5,-2) for the equation:

$(5-5)^2+(-2+4)^2=r^2$

-Solve the equation:

$(5-5)^2+(-2+4)^2=r^2$

$0 + (-2)^2=r^2$

$4 = r^2$

$\sqrt{4} = \sqrt{r^2}$

$2 = r$

-After you found the radius, use the center (5, -4) and radius 2 to get the equation of a circle:

$(x-5)^2+(y+4)^2=2^2$

-Then, after you have the equation, the radius needs to simplified by the exponent:

$(x-5)^2+(y+4)^2=4$

3 0

3 years ago

April sold 75 tickets to the school Christmas play and collected $495. If adult tickets cost $8 and children tickets were $5 how

Ostrovityanka [42]

40 adult tickets were sold and 35 children tickets were sold

<em><u>Solution:</u></em>

Let "a" be the number of adult tickets sold

Let "c" be the number of children tickets sold

Cost of 1 adult ticket = $ 8

Cost of 1 children ticket = $ 5

<em><u>Given that April sold 75 tickets to the school Christmas play and collected $495</u></em>

Number of tickets sold = 75

number of adult tickets sold + number of children tickets sold = 75

a + c = 75 ----- eqn 1

<em><u>Given that April collected $495</u></em>

Thus we can frame a equation as:

number of adult tickets sold x Cost of 1 adult ticket + number of children tickets sold x Cost of 1 children ticket = $ 495

$a \times 8 + c \times 5 = 495$

8a + 5c = 495 ----- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "a" and "c"</u></em>

From eqn 1,

a = 75 - c ---- eqn 3

Substitute eqn 3 in eqn 2

8(75 - c) + 5c = 495

600 - 8c + 5c = 495

-3c = 495 - 600

-3c = - 105

Substitute c = 35 in eqn 3

a = 75 - 35

Thus 40 adult tickets were sold and 35 children tickets were sold

8 0

3 years ago

Sam is a waiter at a local restaurant where he earns wages of $7per hour. Sam figures that he also earns about $5 in tips for ea

Mnenie [13.5K]

There aren't any functions listed to choose from, but it should look something like the following:

E= total earnings that day
h= # hours worked that day
n= # people served that day

E= 7h + 5n

substitute 6 hours in for h

E= 7(6) + 5n

E= 42 + 5n OR E= 5n + 42

Hope this helps! :)

8 0

3 years ago

PLEASE HELP!!! 30 POINTS!!!!!! D: 4 Questions!! It's comparing functions!!

NemiM [27]

Ohh, sorry friend because I don't know

7 0

3 years ago

3x-2 when x=-2 whats the answer

Hoochie [10]

Answer:

$3x - 2 \\ 3( - 2) - 2 \\ - 6 - 2 \\ - 8 .answer$