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cestrela7 [59]
3 years ago
14

Four points are drawn on the coordinate plane and connected with straight lines to form a rectangle. Three of the vertices of th

e rectangle are located at (2, 1), (2, 4) and (4.4). a What are the coordinates of the fourth vertex of the rectangle? b. What are the dimensions of the rectangle? c What is the area of the rectangle?​
Mathematics
1 answer:
pantera1 [17]3 years ago
7 0

You have 2 points with the same x value of 2 and 2 points with the same y value of 4.

You now need 2 points with the same x value of 4 ( you are given 1) and 2 y values of 1 ( you are given 1.

The missing point would need to be (4,1)

The width would be x2-x1 = 4-2 = 2 units

The length would be y2-y1 = 4-1 = 3 units

Area = 3x 2 = 6 square units

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algerbra. com The ninth graders at a high school are raising money by selling T-shirts and baseball caps. The number of T-shirts
My name is Ann [436]

Answer:

36 T-shirts and 12 Baseball Caps

Step-by-step explanation:

GIVEN: The ninth graders at a high school are raising money by selling T-shirts and baseball caps. The number of T-shirts sold was three times the number of caps. The profit they received for each T-shirt sold was \$5.00, and the profit on each cap was \$2.50.

TO FIND: If the students made a total profit of \$210, how many T-shirts and how many caps were sold.

SOLUTION:

Let the total number of T-shirts sold are =\text{t}

Let the total number of Baseball Caps sold are =\text{b}

Profit received on each T-shirt =\$5.00

Profit received on each Baseball Caps =\$2.50

Total profit received on T-shirts =\$5.00\text{t}

Total profit received on Baseball Caps =\$2.50\text{b}

5\text{t}+2.5\text{b}=210

Also,

The number of T-shirts sold was three times the number of caps.

        \text{t}=3\text{b}

putting in equation,

       5\times\text{3b}+2.5\text{b}=210

       17.5\text{b}=210

       \text{b}=12

       \text{t}=3\times12

       \text{t}=36

Hence total 36 t-shirts and 12 baseball Caps were sold.

     

6 0
4 years ago
What direction will this object accelerate? Please give me an explanation as well I will be marking brainiest (NO LINKS)
serg [7]

Answer:

The object will accelerate upwards.

Step-by-step explanation:

If you have two opposite forces acting on an object, the stronger one will be expressed. In this case, since 300N is upwards and 200N is downwards, 100N of upward force will be expressed.

8 0
4 years ago
Read 2 more answers
On Monday, Nalim made a journey.
xenn [34]

Answer:

Step-by-step explanation:

Let's put in some numbers to make this easier to understand.

Let's say she has to travel 20 km.

On Monday, she travels at 4 kph.  This takes 5 hours.

On Tuesday she travels 25% faster, at 5 kph.  This takes 4 hours.  

To figure percent reduction we take

100 % * (old - new) / old  

100 % * (5 hr - 4 hr ) / 5 hr

100 % * 1 hr / 5 hr

100 % * 0.20

20% reduction.

3 0
3 years ago
Ellen writes 2 pages in a hour. Determine the equation that represents the function and state it graphically.
Eduardwww [97]

Answer:

1 page every 0.5hours, or 1 page every 30 minutes. The equation is

2x = y

7 0
3 years ago
Drag each part of the equation to categories it as a term or a coefficient in the expression. Parts that are neither a term nor
faust18 [17]

Answer:

In the given expression:

Term =  x , x

Coefficient= -2, (\frac{3}{4})

Neither one  = 5

Step-by-step explanation:

Here, the given expression is :  -2x+\frac{3}{4} x  +5

Now, in the polynomial of the formax^{2}   + bx + c

All the x terms involving any powers of x  are 'TERM'

Like x^{2}  , x

All the co efficient of the x in the polynomial are called 'Co -efficient.

Here, a , b are co efficient.

The terms in the polynomial which are neither coefficient  nor terms are called 'Constants' . Here, c is constant.

Now, in the given expression:

Term =  x , x

Coefficient= -2, (\frac{3}{4})

Neither one  = 5

5 0
4 years ago
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