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3 years ago

I'm so confused! Please help!

Mathematics

2 answers:

nirvana33 [79]3 years ago

4 0

I would say (c) <span>0≤ x≤ 40 Hope i helped :) </span>

Katena32 [7]3 years ago

3 0

The answer is c. You can have no more than 40 people but you can have less

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Help me pleasee (10 points)

Montano1993 [528]

Answer:

Step-by-step explanation:

Givens

a^2 + b^2 = c^2

a = 4x

b = x + 2

c = 3x + 4

Solution

(4x)^2 + (x + 2)^2 = (3x + 4)^3 Remove all the brackets.

16x^2 + x^2 + 4x + 4 = 9x^2 + 24x + 16 Collect like terms on the left

17x^2 + 4x + 4 = 9x^2 + 24x + 16 Subtract the terms on the right

8x^2 - 20x - 12 = 0

This factors into

(4x - 12)(2x + 1)

There are 2 answers

4x - 12 = 0

4x = 12

x = 12/4

x = 3

2x + 1 = 0

2x = - 1

x = - 1/2

You have to look at x = -1/2 carefully. The problem is that 4x = 4*(-1/2) = - 2 which is not possible in Euclidean Geometry.

So the only answer is x = 3

4 0

2 years ago

A movie theater charges $9.50 for adults and $4.50 for children. For a recent showing of a movie, the theater sold 33 tickets an

choli [55]

Answer:

The number of children's tickets sold was 31 and the number of adult tickets sold was 2

Step-by-step explanation:

Let

x ---> the number of children's tickets sold

y ---> the number of adult tickets sold

we know that

the theater sold 33 tickets

$x+y=33$ -----> equation A

the theater made a total of $158.50

$4.50x+9.50y=158.50$ ----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The solution is the point (31,2)

see the attached figure

therefore

The number of children's tickets sold was 31 and the number of adult tickets sold was 2

5 0

3 years ago

Which of the following correctly completes the square for the equation below?

erastova [34]

The answer is :

c. (x+1)²=20

To check:
(x+1)²=20 (a+b)²=a²+2ab+b²
x²+2x+1=20
x²+2x=20-1
x²+2x=19

3 0

3 years ago

Read 2 more answers

A 20 foot ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the

GarryVolchara [31]

The bottom of the ladder is 10.5 feet away from the wall

Step-by-step explanation:

The given scenario forms a right triangle.

Where

The length of ladder will be the hypotenuse

The wall on which the window is situated will ebt he perpendicular and

The distance between the foot of ladder and the wall will be the base

So,

Hypotenuse = H = 20 foot

Perpendicular = P = 17 feet

Base = B = ?

Using the Pythagoras theorem

$H^2=P^2+B^2\\(20)^2=(17)^2+B^2\\400=289+B^2\\400-289=B^2\\B^2=111\\Taking\ square\ root\ on\ both\ sides\\\sqrt{B^2}=\sqrt{111}\\B=10.53\\Rounding\ off\ to\ the\ nearest\ tenth\\B=10.5$

The bottom of the ladder is 10.5 feet away from the wall

Keywords: Triangle, Pythagoras Theorem

Learn more about Pythagoras theorem at:

#LearnwithBrainly

8 0

2 years ago

A square piece of land is to be divided into 4 square quadrants of equal size. On a map, the entire piece of land measures 6 inc

Oksana_A [137]

Answer:

The scale of the map is inch = 20 feet.

This statement must be incorrect or the fraction of the inch is missing.

Because 6" long, at a scale of one inch = 20 feet, would only be 120 feet x 120 feet.

120 x 120 = 14,000 ft^2 and each of the four quadrants wouls only be 3600 ft^2.

5 0

2 years ago