Three points are collinear. always, sometimes, never

Each side of the smaller square in the figure below is n inches long, and each side of the larger square is p inches longer than

lana66690 [7]

Answer:

2np + p²

Step-by-step explanation:

The general formula for the area of a square is A = s², where s = the length of one side of the square. In the case of the smaller square the area would be: n x n = n². Since the side of the larger square is 'p' inches longer, the length of one side is 'n + p'. To find the area of the larger square, we have to take the length x length or (n +p)².

Using FOIL (forward, outside, inside, last):

(n + p)(n+p) = n² + 2np + p²

Since the area of the first triangle is n², we can subtract this amount from the area of the larger square to find out how many square inches greater the larger square area is.

n² + 2np + p² - n² = 2np + p²

8 0

3 years ago

Below are the rates of travel of 4 shipping trucks. Which truck drove the fastest rate? Truck A: 300 miles in 4 hours Truck B: 2

Tasya [4]

Answer:

Truck D.

Step-by-step explanation:

Below are the rates of travel of 4 shipping trucks.

Truck A: 300 miles in 4 hours Truck B: 240 miles in 3 hours Truck C: 325 miles in 5 hours Truck D: 170 miles in 2 hours.

Speed = distance/time

Speed of Truck A,

$v_A=\dfrac{300}{4}\\\\v_A=75\ mph$

Speed of Truck B,

$v_B=\dfrac{240}{3}\\\\v_B=80\ mph$

Speed of Truck C,

$v_C=\dfrac{325}{5}\\\\v_C=65\ mph$

Speed of Truck D,

$v_D=\dfrac{170}{2}\\\\v_D=85\ mph$

It can be seen that the speed of Truck D is more out of Trucks A,B and C. Hence, Truck D is moving at a faster rate.

8 0

3 years ago

Which is the interval notation represent the domain?

Kazeer [188]

Answer:

The first choice, $(-\infty, 7) \cup (7, \infty)$ .

Step-by-step explanation:

The dashed vertical line is a vertical asymptote. The x-coordinate of all points on this vertical asymptote are equal to 7. In other words, when the x-value of a point on the graph approaches $7$ , its y-value approaches infinity (or negative infinity.)

Either way, the graph is not defined for $x = 7$ . The point $7$ should thus be excluded from the domain of the graph.

The graph is apparently defined for all other x-values. The domain of the function should thus be all real numbers with the exception of $x = 7$ . Here's how to write that in interval notation:

The set of all real numbers can be expressed as the interval $(-\infty, \infty)$ . Note that infinity $\infty$ (or $(- \infty)$ itself isn't a real number. The round brackets indicate that both endpoints are excluded from the from the interval.
The set of all real numbers less than (not equal to) $7$ is $(-\infty,7 )$ (both ends are excluded.) The set of all real numbers greater than (not equal to) $7$ is $(7, \infty)$ .
The set of all real numbers that is not equal to $7$ is the union of all real numbers less than $7$ and all real numbers greater than $7$ . The union operator $\cup$ connects two intervals.

In other words, the domain is $(-\infty, 7) \cup (7, \infty)$ .

5 0

3 years ago

How can you use a strip diagram to convert 136 ounces into cups

matrenka [14]

Strip diagram is a tool that is used to be able to solve the given problem accurately.
I will show you how to do it.
we have 136 ounces that needs to be convert to cups
1 ounce = 0.125 cup
In 1 cup = 8 ounce
136 ounces / 8 cups = 17 cups

6 0

3 years ago

What is the product of two numbers is 48?; What is the formula for finding product of two numbers?; What two numbers have a prod

Nadusha1986 [10]

The two numbers that have a product of 48 are 6 and 8 or 12 and 4, etc. They can be multiplied together to get 48, which is the product of the two numbers.

The formula for finding the product of two numbers is to multiply them together. For example, if you have two numbers, a and b, the product of these two numbers is a multiplied by b or an a x b.

The two numbers that have a product of 48 and a sum of 16 are 4 and 12. You can multiply 4 and 12 together to get 48, and you can add them together to get 16.

When the product of two numbers is one of each number, the other number is 1. This means that when the product of two numbers is the same as one of the numbers, the other number must be 1, as 1 multiplied by any number is always equal to itself.

Learn more about the product of two numbers with an example:

brainly.com/question/27860917

#SPJ4

5 0

1 year ago