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3 years ago

P=m+x² (make x the subject)

Mathematics

1 answer:

Rus_ich [418]3 years ago

5 0

Answer:

See below

Step-by-step explanation:

$p = m + {x}^{2} \\ \\ p - m = {x}^{2} \\ \\ {x}^{2} = p - m \\ \\ x = \pm \sqrt{p - m} \\$

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Find the quotient. Simplify completely. Please show work.

nadya68 [22]

1. 8/9 ÷ 4/9 is done by inverting the divisor (4/9) and then multiplying:

(8/9)(9/4) = 8/4 = 2 (answer)

2. 1/3 ÷ 6 is done similarly: (1/3)(1/6) = 1/18 (answer)

3. 4 ÷ 1/5 = 4 * 5 = 20 (answer)

4. 7 1/2 ÷ 1/4 = (15/2)(4/1) = 30 (answer)

8 0

3 years ago

Ann's first option is a plot of land adjacent to a current park.

oksian1 [2.3K]

Given:

The equation for the area of the first option is:

$x^2+200x=166400$

Where x is the side length of the current square park.

To find:

The side length of the current square park.

Solution:

We have,

$x^2+200x=166400$

It can be written as:

$x^2+200x-166400=0$

Splitting the middle term, we get

$x^2+520x-320x-166400=0$

$x(x+520)-320(x+520)=0$

$(x-320)(x+520)=0$

$x=320,-520$

We know that the side length of a park cannot be negative. So, the only possible value of x is 320.

Therefore, the most direct method to solve the given equation is splitting the middle term and the side length of the current square park is 320 meters.

4 0

3 years ago

Find the sin in the triangle

Ierofanga [76]

Answer:

.324 or 18.9 degrees

Step-by-step explanation:

rule is

sine equals opposite over hypotenuse,

cosine equals adjacent over hypotenuse, and

tangent equals opposite over adjacent

soh cah toa

sine = soh = 12/37 = .324

arcsin(.324) or sin^-1(.324) in DEGREES not radians =

18.9 degrees

6 0

3 years ago

The fraction: 340 | 3/4

Effectus [21]

Answer:

It's A I hope that helps

Step-by-step explanation:

8 0

3 years ago

Tickets to a local circus cost $5 for students and $8 for adults. A group of 9 people spent a total of $60. How many adults were

S_A_V [24]

Answer:

Step-by-step explanation:

You need to set up and solve a system of linear equations here.

Let s and a represent the number of students and adults respectively.

Then s + a = 9, and s = 9 - a.

Total ticket cost for the adults was ($8/adult)(a)

and for the students ($5/student)(s).

Total cost of the tickets was then ($8/adult)(a) + ($5/student)(s) = $60.

Then our system of linear equations is:

8a + 5s = 60

a + s = 9, or s = 9 - a. Substituting 9 - a for s, we get:

8a + 5(9 - a) = 60.

Then 8a + 45 - 5a = 60, or 3a = 15.

Solving for a, we get a = 5.

Solving for s using s = 9 - a, we get s = 9 - 5, or s = 4.

There were 5 adults in the group (and 4 students).

3 0

3 years ago

P=m+x² (make x the subject)​

P=m+x² (make x the subject)