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3 years ago

Becky graphs a system of two linear equations and determines that (1,5) and (3,7) are solutions.

Mathematics

1 answer:

IrinaK [193]3 years ago

7 0

Answer:

D ) one line; infinitely many

Step-by-step explanation:

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how many different four letter permutations can be formed using four letters out of the first 12 in the alphabet?

Verizon [17]

Answer:

11,800 different four letter permutations can be formed using four letters out of the first 12 in the alphabet

Step-by-step explanation:

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

In this question:

Permutations of four letters from a set of 12 letters. So

$P_{(12,4)} = \frac{12!}{(12-4)!} = 11800$

11,800 different four letter permutations can be formed using four letters out of the first 12 in the alphabet

3 0

3 years ago

Find the area of the composite figure.

densk [106]

Answer:

100

Step-by-step explanation:

3 0

3 years ago

Two hundred people responded to a survey. Of those who had green eyes, 7 had blonde hair, 9 had brown hair, and 2 had red hair.

cestrela7 [59]

Answer:

Step-by-step explanation:

5 0

3 years ago

The combined area of two squares is 80 square centimeters. Each side of one square is twice as long as a side of the other squar

o-na [289]

The length of each side of the larger square is 8 cm.

<u>Step-by-step explanation</u>:

Step 1 ;

The combined area of two squares = 80 sq.cm
The side of small square = x
The side of larger square = 2x

Step 2 :

Area of the square = a^2

Area of small square + area of large square = 80

x^2 + (2x)^2 = 80

x^2 + 4x^2 = 80

5x^2 = 80

x^2 = 80/5

x^2 = 16

x = ±4

Step 3 :

Since length cannot be negative, the value of x= 4

∴ The length of the side of small square = 4cm

The length of the side of larger square = 2x = 8cm

5 0

3 years ago

A strobe light is located at the center of a square dance room. the rotating light is 40 feet from each of the square walls and

Effectus [21]

The equation of the rotating light is an illustration of a secant function

The equation that represents the distance between the center of the circle and the light source is $d(t) = 40\sec(\frac{\pi}{3}t)$

<h3>How to determine the equation</h3>

The equation is a secant function represented by

$y =A\sec(Bt)$

Where:

A represents the amplitude

So, we have:

$A = 40$ --- the distance of the light from each square wall

B represents the period, and it is calculated as:

$B = \frac{2\pi}{T}$

The light completes its full rotation every 6 seconds.

This means that,

T = 6

So, we have:

$B = \frac{2\pi}{6}$

Simplify

$B = \frac{\pi}{3}$

Substitute values for A and B in $y =A\sec(Bt)$

$y = 40\sec(\frac{\pi}{3}t)$

Rewrite as a function

$d(t) = 40\sec(\frac{\pi}{3}t)$

Hence, the equation that represents the distance between the center of the circle and the light source is $d(t) = 40\sec(\frac{\pi}{3}t)$

Read more about trigonometry functions at:

brainly.com/question/1143565

5 0

2 years ago