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inn [45]
3 years ago
12

CAN SOMEONE PLS HELP ME OUT ON THIS PROBLEM?!?! PLSSS

Mathematics
1 answer:
Artyom0805 [142]3 years ago
5 0

Answer:

First one: 16 units^2

Second One: 15 units^2

Step-by-step explanation:

First One:

A=\frac{1}{2} (2)(4)(4)=16 units^2

Second One:

\frac{1}{2} (2)(5)(3)=15 units^2

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stich3 [128]

Step-by-step explanation:

1. it does not go through the origin (0)

2. 15.

it is constant

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6 0
3 years ago
32. Parallelogram ABCD has vertices A(0,0), B(2,4), and C(10,4). Find the coordinates of D.
goblinko [34]

Answer:

The fourth vertex is D(8, 0)

Step-by-step explanation:

Let A(0, 0), B(2, 4), and C(10, 4) be the three vertices of a parallelogram ABCD and let its fourth vertex be D(a, b).

Join AC and BD. Let AC and BD intersect at point O.

  • We have known that the diagonals of a parallelogram bisect each other.  

So, O would be the midpoint of AC as well as that of BD.

A\left(0,\:0\right)=\left(x_1,\:x_2\:\right)

C\left(10,\:4\right)=\left(x_2,\:x_2\:\right)

The midpoint of AC is:

\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)

\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(10,\:4\right)

=\left(\frac{10+0}{2},\:\frac{4+0}{2}\right)

=\left(5,\:2\right)

The midpoint of BD is:

=\left(\frac{a+2}{2},\:\frac{b+4}{2}\right)

so

∵  \frac{a+2}{2}=5

a+2=10

a=8

∵ \frac{b+4}{2}=2

b+4=4

b=0

Hence, the fourth vertex is D(8, 0)

4 0
3 years ago
Hi guys really need help w/ this problem will give brainllest for the first person
Vladimir [108]

Answer:

There are 6 nickels, 10 dimes and 13 quarters.

Step-by-step explanation:

number of nickels = n

number of dimes = n+4

number of quarters = (n+4)+3 = n+7

express total amount in cents $4.55 = 455 cents

express total in cents by multiplying quantities of coins by value and adding them up.

455 = 5*n + 10*(n+4) + 25*(n+7) 455 = 5n + 10n + 40 + 25n + 175 240 = 40n n = 6

so number of nickels = 6.

number of dimes = number of nickels + 4 = 6+4 =10

number of quarters = number of dimes + 3 = 10+3 = 13

There are 6 nickels, 10 dimes and 13 quarters.

3 0
4 years ago
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