Amanda is using wire to construct a triangle for an art project. She has 4 inches of blue wire and

Plot the following points to create a rectangle.

Tanya [424]

Answer:

(5, -1)

Step-by-step explanation:

The three coordinates of a triangle are given as:

(5,3), (-5,3), (-5,-1).

To find:

The missing vertex = ?

Solution:

Let us label the vertices:

A (5,3),

B(-5,3),

C(-5,-1).

Let the missing vertex be ( $x, y$ ).

Let us recall the properties of a rectangle.

The <em>opposite sides</em> of the rectangle are equal and parallel to each other.

Let us consider the side AB, we can see that only x coordinate is changed from A to B.

Let us consider the side BC, we can see that only y coordinate is changed from B to C.

A and B are adjacent vertices.

Similarly the opposite vertices will be C and D.

Same pattern will be followed in CD as that of AB.

x coordinate will be changed by same difference as that of AB.

Change in x coordinate from D to C = $-5-x$

Change in x coordinate from A to B = $-5-5 =-10$

Equating them:

$-5-x=-10\\\Rightarrow x = 5$

Same pattern is followed in BC and AD.

Their change in y coordinate will be same.

$-1-3=y-3\\\Rightarrow y =-1$

Missing vertex is <em>(5, -1)</em>.

Please refer to the attached image for the rectangle.

3 0

3 years ago

State the domain of the numbers displayed in column x and column y. x y

ella [17]

We can not really tell in this question as you dont know the equation that is being used for the domain and range relationship but overall one should know that:

The set of values of the independent variable(s) for which a function or relation is defined as the domain of a function. Typically, this is the set of x-values that give rise to real y-values.

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

5 0

3 years ago

Tom counted the number of cards in his collection for 10 weeks. By week 5, he had collected 12 cards. This graph shows this info

Karolina [17]

Answer:

i think it would be 17

Step-by-step explanation:

5 0

2 years ago

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After 4,000 gallons of water were added to a large water tank that was already filled to 3/4 of its capacity, the tank was then

dangina [55]

Answer: The correct option is

(E) 80,000.

Step-by-step explanation: Given that after adding 4,000 gallons of water to a large tank that was already filled to $\dfrac{3}{4}$ of its capacity, the tank was then at $\drac{4}{5}$ of its capacity.

We are to find the number of gallons of water that the tank hold when filled to capacity.

Let the tank can hold x gallons of water when filled to capacity.

Then, according to the given information, we have

$\dfrac{3}{4}x+4000=\dfrac{4}{5}x\\\\\\\Rightarrow \dfrac{4}{5}x-\dfrac{3}{4}x=4000\\\\\\\Rightarrow \dfrac{16-15}{20}x=4000\\\\\Rightarrow x=4000\times20\\\\\Rightarrow x=80000.$

Thus, the required capacity of the tank is 80,000 gallons of water.

Option (E) is CORRECT.

4 0

3 years ago

What is 76.78 rounded to the nearest whole number?

galben [10]

Lets look at the number. 76.78. In each of the different place holders the number is higher than 5. Lets do some examples. 74 rounded to the nearest whole number is going to be 70. 76 rounded to the whole number will be 80. The .78 in your question also contributes.

Answer: 80

6 0

3 years ago

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