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3 years ago

What are ways using coordinate geometry, that I could determine that this is a trapezoid?

Mathematics

1 answer:

NemiM [27]3 years ago

3 0

One method to see it's a trapezoid is to find the slope of lines BC and AD.

The slope formula is

m = (y2-y1)/(x2-x1)

You should find that BC and AD both have the same slope (of -1), so that means the lines are parallel. That proves we have a trapezoid.

-----------------------

To prove this trapezoid is isosceles, you can use the distance formula

$d = \sqrt{ \left(x_1-x_2\right)^2 + \left(y_1-y_2\right)^2}$

to find the lengths of AB and CD (the two non-parallel sides). You should find that AB = CD.

Because AB and CD are horizontal and vertical respectively, this means you can simply count out the spaces to find that AB and CD are 3 units each. For any other rotated version of this trapezoid, use the distance formula instead.

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What is negative 21/9 times negative 18/7

diamong [38]

Answer:

negative 21/9 times negative 18/7 is 6

Step-by-step explanation:

The phrase negative 21/9 times negative 18/7 can be written mathematically as

$-\frac{21}{9} \times -\frac{18}{7}$

Lets first convert the fractions into decimal values

$-\frac{21}{9}$ = -2.33

$-\frac{18}{7}$ = -2.57

Now on simplyfying

=> $-2.33 \times -2.57$

=> 5.988

=>6 (rounding off)

We will get a positive value because the multiplicative law states that the product of two negative number is positive

5 0

3 years ago

explain how you could use the greatest common factor of 8 and 20 in the distributive property to write 8 + 20 as a product

GenaCL600 [577]

Answer: 4(5+2) or 4(2+5)

Step-by-step explanation:

8 = 2*2*2

20 = 2*2*5

4(5+2) = 20+8

6 0

3 years ago

Anyone know the answer???

Triss [41]

The rate of change is 4. A linear model.

8 0

4 years ago

At lunch 3 1/4 small pizzas were equally divided amping students. If each student ate 1/4 of a pizza, how many students were fed

Vilka [71]

Answer:

13 students were fed

Step-by-step explanation:

now first in order to count we will have to turn 3 1/4 into a whole number which means we will have to multiply the denomintor by 3 and add it to the numerator which is 1

4 x 3= 12 ..... 12 + 1 = 13

13/4 and the denominator always stays the same

and now to count we will have to divide 13/4 divided by 1/4

now instead of dividing you can just multiply them by switching the denominator and numerator 1/4 to 4/1

13/4 x 4/1

52/4

5 0

3 years ago

The statue or liberty is 305 feet tall measuring from the ground to the tip of the torch if the model is 1/100 the actual size o

sergejj [24]

Given:

Height of statue or liberty from the ground = 305 feet

Model is $\dfrac{1}{100}$ the actual size of the statue of liberty.

To find:

The height of the model of statue.

Solution:

According to the question,

Model = $\dfrac{1}{100}$ of the actual size

$=\dfrac{1}{100}\times 305$

$=3.05$

Therefore, the height of the model of statue is 3.05 feet.

8 0

3 years ago