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Ivan
3 years ago
14

Figure ABCD has vertices A(-2,3), B(4,3), C(4,-2), and D(-2,0). What is the area of figure ABCD

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
6 0

Answer:

24 units

Step-by-step explanation:

As we can see in the attached picture. The area will be given by the sum of the area of the rectangle and the area of the triangle in the bottom.

The rectangle has a base of 6 units and a height of 3 units. Therefore:

A1 = bh = 6*3 = 18 units.

The triangle has a base of 6 units and a height of 2 units. Therefore:

A2 = (1/2)bh = (6*2)/ 2 = 6 units

Then, the total area is:

A = A1 + A2 = 6 + 18 = 24 units

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At the school the ratio of boys to girls is 5:3 if there are 385 boys in the school, how many students are there altogether?
ser-zykov [4K]

Answer:

There are 616 total students

Step-by-step explanation:

boys : girls: total

5           3      5+3 = 8

There are 385 boys

385/5 = 77

Multiply each term by 77

boys : girls: total

5*77  3*77   8*77

385    539    616

There are 616 total students

6 0
3 years ago
Read 2 more answers
What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = x2 − 4x + 5, and what does it mean about the num
Aleksandr-060686 [28]
So discriminant gives us 3 possibilites connected with result of the equation b^2-4ac. If it is bigger than zero, there are 2 solutions, if answer is exactly 0, then there is one answer and if the number is lower than 0, there are no solutions.

Discriminant of your quadratic equation is (-4)^2-4*1*5=16-20=-4, so there are no solutions.
3 0
2 years ago
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___________ is a standard of measure for a physical quantity and is included as part of the x and y axes labels on a line graph.
zlopas [31]

Answer:

Unit of measure

Step-by-step explanation:

Unit of measure

When we construct any type of graph the unit of measure needs to be present, becuase the numbers without units are just numbers and with just the numbers we can't have physical interpretation of the situation.

For this reason is importatn to include the units of meausre with the plots since with that we have a point of reference for the variables used.

And satisfy the condition "A standard of measure for a physical quantity and is included as part of the x and y axes labels on a line graph."

8 0
3 years ago
NEED THE ANSWER ASAP PLEASE
Elan Coil [88]

Answer:

y=1/2x-3

gradient = 1/2

also should satisfy the given coordinates

6 0
3 years ago
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when two lines intersect one of the angel formed is 82 degrees what would be the measure if the angle vertical to the 82 degree
babymother [125]

Answer:

it would be 98 degrees

Step-by-step explanation:

if 2 lines inersect it means you create 4 angles. 2 of those angles are the same as well as the other ones so if one is 82 then the angle that counters it is 98

82+98=180

180 degrees equals line

7 0
3 years ago
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