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blagie [28]
3 years ago
14

The drama club is selling tickets to their play to raise money for the show's expenses.

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
6 0

Answer:

250 $3 tickets and 100 $2 tickets were sold.

Step-by-step explanation:

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Which shows a perfect square trinomial?
anastassius [24]
The answer is <span>c. 16x2 + 24xy + 9y2.

Since we need trinomial (three term expression) choices a and b are incorrect because they have only two terms.

So, our square trinomial is a</span>² + 2ab + b² or a² - 2ab + b²
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²

Let's check choices c and d:
c) 16x² + 24xy + 9y²
a² = 16x²
a² = (4x)²
a = 4x

b² = 9y²
b² = (3y)²
b = 3y

a² + 2ab + b² = (4x)² + 2 * 4x * 3y + (3y)² = 16x² + 24xy + 9y²
CORRECT

d) 49x² - 70xy + 10y²
a² = 49x²
a² = (7x)²
a = 7x

b² = 10y²
b² = (y√10)²
b = y√10

a² + 2ab + b² = (7x)² + 2 * 7x * y√10 + (y√10)² = 49x² + 14xy√10 + 10y²
INCORRECT

So, c) is correct answer
8 0
4 years ago
Read 2 more answers
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
IrinaVladis [17]

Answer:  C= (3,2) and D=(2.2, 2.8)

Step-by-step explanation:

The coordinates of point P(x,y) divides a line segment having end points M{x_1,y_1} and N(x_2,y_2) in m:n will be :-

x=\dfrac{mx_2+nx_1}{m+n}\ ;\ y=\dfrac{my_2+ny_1}{m+n}

Given : The endpoints of AB are A(1,4) and B(6,-1).

If point C divides AB in the ratio 2 : 3, the coordinates of point C will be :-

x=\dfrac{2(6)+3(1)}{2+3}\ ;\ y=\dfrac{2(-1)+3(4)}{2+3}

Simplify,

\\\\\Rightarrow x=3\ y=2

Thus , coordinate of C= (3,2)

If point D divides AC in the ratio 3 : 2, the coordinates of point D will be :-

x=\dfrac{3(3)+2(1)}{3+2}\ ;\ y=\dfrac{3(2)+2(4)}{3+2}

Simplify,

\\\\\Rightarrow x=3\ y=2

Thus , coordinate of D= (2.2,2.8)

4 0
4 years ago
Read 2 more answers
Amelia mowed 10 lawns in 4 hours what.what was her rate of mowing in hours per lawn express your answer in simplest form
AleksAgata [21]

Answer:

10:4

Step-by-step explanation:

she mowed 10 lawnes in 4 hours


4 0
3 years ago
Read 2 more answers
The length of a rectangle is 4 centimeters more than its width. if the ratio of the length to width is seven to five, find the d
Marina86 [1]
L = 4 + w
l/w = 7/5
l = 7w/5

7w/5 = 5 + w
7w = 25 + 5w
2w = 25
w = 12.5

l = 4 + 12.5
l = 16.5

the dimensions are 16.5 x 12.5 cm
6 0
3 years ago
How do I write m is the set of integers that are greater than negative one and less than four
Angelina_Jolie [31]

\bf \stackrel{\textit{\large Set Builder notation}}{\{m|m\in \mathbb{Z}, m > -1, m < 4\}}~\hfill \stackrel{\textit{\large or this way}}{-1

7 0
3 years ago
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