20pts What is the distance between (7, 3, 4) and (5, 2, 9)?

Really need help!!!

Answers

Answer 1

Answer: To find the distance between two 3d points, square the difference of the x, y, and z points. Then, sum them and take the square root.
Distance=√(x2−x1)^2+(y2−y1)^2+(z2−z1)^2

Replace x^1,x^2,y^1,y^2,z^1, and z^2 with the corresponding values.
Distance=√((5)−(7))^2+((2)−(2))^2+((9)−(4))^2

Simplify √((5)−(7))^2+((2)−(2))^2+((9)−(4))^2
calculator....

Distance= √29

The distance between (7,2,4) and (5,2,9) is √29.

√29≈5.38516481

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30 = X-8One step equation

Simplify the expression. Write the answer without using parentheses or negative exponents.((x^4 y^2)^5)/((x^2 y)^2)

Answers

$( (x^4 y^2)^5 )/( (x^2 y)^2 ) =( x^(4*5) y ^(2*5) )/( x ^(2*2) y ^2 ) =( x^(20) y ^(10) )/( x^4y^2 ) = x^(20-4) *y^(10-2)= x^(16) *y^(8)$

8y-10=-3y+2 what does that equal?

Answers

8y+3y=2+10
11y=12
Y=12/11

Actually it would be 11 over 12 just a simple mistake there

Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50a + 3.75b = 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold?

Answers

Given:
b = 82
\
Asked:
a = number of adult tickets sold = ?

Solution:
10.50(a) + 3.47(82) = 2071.50

solving for a:

a= [2071.5-3.47(82)]/10.50

a=168

FINAL ANSWER: There were 168 adult tickets sold.

Answer:

The correct answer would be , a = 168 tickets were sold

Step-by-step explanation:

Cost of adults ticket = $10.5

Cost of Students Ticket = %3.75

Sales Totals for opening night = $2071.5

Equation would be

10.5a + 3.75b = 2071.5

If 82 students attended the the play at that night, it means the value of b would be 82. Thus substituting the value in the above equation, we can find the value of a, which means how many adult tickets were sold.

10.5a + 3.75(82) = 2071.5

10.5a + 307.5 = 2071.5

10.5a = 2071.5-307.5

10.5a = 1764

a= 168 tickets were sold.

On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function C of F = five-ninths (F minus 32) to convert this temperature from degrees Fahrenheit to degrees Celsius. What does C(76.1) represent?