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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.

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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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Giselle pays $190 in advance on her account at the athletic club. Each time she uses the club, $10 is deducted from the account.

Archy [21]

Y= -10x + 190

In using a linear function, follow the pattern y=mx + b.
In this scenario, the m (which represents slope) is -10 since $10 is taken away every time. The b(which represents y-int) is 190 because you start with 190 (x=0)

7 0

3 years ago

Read 2 more answers

You got to find the surface area

vladimir1956 [14]

Answer:

156 sq. units

Step-by-step explanation:

divide the prism into 2D shapes using the net. Then, use the numbers to find the length and width. Multiply the length and width of each 2D shape. Finally, add all the numbers you got to get the sum of 156 sq. units.

7 0

3 years ago

Can i have the answer to this pic is below

eduard

Answer:

question 1: m = 3/2

question 2: m = 1/95

Step-by-step explanation:

Slope intercept form of equation is of form

y = mx+c

where m is the slope of line and c is the y intercept of the line.

Y intercept is point on y axis where the line intersects the y axis.

____________________________________

given

y = 3/2 x

comparing it with y = mx+c

we have m = 3/2 .

since y = 3/2 x does not have constant term so it can be taken as 0. hence c is 0

_________________________________________

slope for any two point (x1,y1) and (x2,y2) on coordinate plane is given by

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

From the given table lets take two point as (2,190) and(4,380)

Thus, slope m is given by

m = (4-2)/(380-190) = 2/190 = 1/95

m = 1/95

Though, slope can be taken by dividing y by x (y/x). It is good practice to use two point form formula as given above . Provided two points are given

Please mark it the brainliest.

4 0

3 years ago

Solve for x. х/5= 20 0. 25 4 10 100

GuDViN [60]

Answer:

100

Step-by-step explanation:

x = 5 × 20 = 100

.........................

3 0

3 years ago

Read 2 more answers

How do I solve 4/9+9/2 and write my answer as a mixed number?

jenyasd209 [6]

9 has factors of 3*3.

2 is prime, so no factors.

from those two denominators, we can get the LCD of hmmm simply their product, namely 18.

$\bf \cfrac{4}{9}+\cfrac{9}{2}\implies \stackrel{\textit{using the LCD of 18}}{\cfrac{(2)4+(9)9}{18}}\implies \cfrac{8+81}{18}\implies \cfrac{89}{18}\implies 4\frac{17}{18}$

now, recall that, to get the mixed fraction, we divide 89 ÷ 18, the quotient goes up front, the "4", and the remainder is the one atop, the "17".

8 0

3 years ago