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3 years ago

What is 3x = 99 - 35x + 12 - 10 / 6

Mathematics

1 answer:

AleksandrR [38]3 years ago

4 0

Simplify both sides of the equation then isolate the variable
x= $\frac{164}{57}$

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Find an equation of the circle that satisfies the given conditions.

hodyreva [135]

The equation of a circle:
$(x-h)^2+(y-k)^2=r^2$
(h,k) - the coordinates of the centre
r - the radius

The midpoint of the diameter is the centre of a circle.
The coordinates of the midpoint:
$(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$
(x₁,y₁), (x₂,y₂) - the coordinates of endpoints

$P(-1,1) \\
x_1=-1 \\ y_1=1 \\ \\ Q(5,9) \\ x_2=5 \\ y_2=9 \\ \\
\frac{x_1+x_2}{2}=\frac{-1+5}{2}=\frac{4}{2}=2 \\ \frac{y_1+y_2}{2}=\frac{1+9}{2}=\frac{10}{2}=5$

The centre of the circle is (2,5).

The radius is the distance between an endpoint of the diameter and the centre.
The formula for distance:
$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$(-1,1) \\ x_1=-1 \\ y_1=1 \\ \\ (2,5) \\ x_2=2 \\ y_2=5 \\ \\ d=\sqrt{(2-(-1))^2+(5-1)^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5$

The radius is 5.

$(x-2)^2+(y-5)^2=5^2 \\
\boxed{(x-2)^2+(y-5)^2=25}$

4 0

3 years ago

Megan had 516 pennies. She wanted to place the pennies into nine stacks, with the same amount in each stack. How many more penni

NISA [10]

Answer:

522

Step-by-step explanation:

516 divided by 9 is 57.34

she would need 522 pennies and she would end up with 9 stacks of 58 pennies

6 0

3 years ago

Read 2 more answers

A car travels 6 miles in 5 minutes. How fast is it going in miles per hour? How fast is it going in meters per second?

belka [17]

Answer:

72 m\ p.h.

Step-by-step explanation:

we have 60 minute in one hour

we must divide 60 by 5=12

then 6*12=72!!!

it is very easy

5 0

3 years ago

Read 2 more answers

Exhibit 12-4 In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Li

snow_lady [41]

Answer:

b. multinomial population

Step-by-step explanation:

The data is categorical and non-overlapping. That is, there are multiple options(either the student is in the Liberal Arts College, Business College or Education College), and he cannot be in more than one option.

So this is an example of a multinomial population.

The correct answer is:

b. multinomial population

7 0

3 years ago

Suppose that in 6 minutes, 36 gallons of water came out the pipe. what was the rate in

Tom [10]

Answer:

6 gallons in one minute :)

Step-by-step explanation:

3 0

3 years ago