2 years ago

PLEASE ANSWER 14 points!!!!

Mathematics

1 answer:

katen-ka-za [31]2 years ago

4 0

Answer:

Step-by-step explanation:

sqrt[(-8+3)² + (-6+6)²] = 5

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2 years ago

How many adult tickets were sold if each adult ticket sold was $6 and each student ticket was $4.50 and 260 tickets were sold fo

erik [133]

Answer:

Adult tickets sold: 156

Step-by-step explanation:

Adult ticket: x

Student ticket: y

x + y = 260 ===> -6(x + y = 260) ===> -6x -6y = -1560

6x + 4.5y = 1404 ===> 6x + 4.5y = 1404

________________

add the two equations to eliminate a variable: -1.5y = -156

divide by -1.5: y = 104

substitution to find x:

x + y = 260

x + 104 = 260

x = 156

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2 years ago

In the xy -coordinate plane, the coordinates of point s are (-2,-6), and coordinates of point T are (18,9). Point Q lies on line

ira [324]

Answer:

(6,0)

Step-by-step explanation:

The coordinates of the points dividing the line segment in ratio m:n can be calculated as:

$(\frac{mx_{2}+nx_{1}}{m+n} ,\frac{my_{2}+ny_{1}}{m+n} )$

Here x1, y1 are the coordinates of first point S (-2, -6) and x2, y2 are the coordinates of second point T(18, 9).

In this case m will be 2 and n will be 3 as the ratio is 2:3

Using all these values we can find the coordinates of point Q

$( \frac{2(18)+3(-2)}{2+3},\frac{2(9)+3(-6)}{2+3} )\\\\ = (\frac{30}{5} ,\frac{0}{5} )\\\\ =(6,0)$

Thus, the coordinates of point Q which divides the line segment ST in ratio of 2:3 are (6,0)

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Answer:

area of rectangle and square

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