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agasfer [191]
3 years ago
13

Quadrilateral ABCD has vertices A(1, 0) B(5, 0) C (7, 2) D(3, 2). Use slope to prove that ABCD is a parallelogram.

Mathematics
1 answer:
Rasek [7]3 years ago
7 0

If ABCD is a parallelogram, we have to prove that slope of AB = CD and slope of BC = DA. Using the formula m = (y1-y2) / (x1-x2), the slope of line segment AB = 0/-4,  CD = 0/-4, BC = 1, DA  = 1. Going back to the condition, the slope we get for each line segment proves that ABCD is a parallelogram.

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Round the following number to the indicated place. 66.1086 to hundredths
nikdorinn [45]

Answer:

66.11

Step-by-step explanation:

We are given that  a number

66.1086

We have to round the number to hundredths

Place of 6=One;s

Place of second 6=Tens

Place of 1=Tenths

Place of 0=Hundredths

Place of 8=Thousandths

Place of 6=Ten thousandths

Thousandths place is 8 which is greater than 5 therefore, one will be added to hundredth place and other number on the left side of  hundredth place remain same and the numbers on the right side of hundredth place will be replace by zero.

Therefore, the given number round to hundredths=66.11

7 0
3 years ago
Help please i don’t know the answer
son4ous [18]

Answer:

6A=8B=6\left[\begin{array}{ccc}-4&-1&-9\\-9&6&9\\-1&-1&3\end{array}\right] -8\left[\begin{array}{ccc}-10&-2&-5\\9&-7&-1\\9&-4&2\end{array}\right]

=\left[\begin{array}{ccc}-24&-6&-54\\-54&36&54\\-6&-6&18\end{array}\right] -\left[\begin{array}{ccc}-80&-56&-40\\72&-56&-8\\72&-32&16\end{array}\right]

=\left[\begin{array}{ccc}56&50&-14\\-120&92&62\\-78&26&2\end{array}\right]

So,~ A ~is ~your~ answer~

<u>---------------------------</u>

<u>hope it helps..</u>

<u>have a great day!!</u>

7 0
3 years ago
How do I solve this? i missed ONE class
lisov135 [29]

Answer:

a < 42

Step-by-step explanation:

Question : 4a + 9a - 6a < 42

Answer :

4a + 9a - 6a < 42

Combine like terms.

13a - 6a < 42

7a < 42

Divide both sides by 7.

a < 42

Hope this helps you :-)

Let me know if you have any other questions :-)

6 0
2 years ago
Read 2 more answers
To begin a bacteria study, a petri dish had 2800 bacteria cells. Each hour since, the number of cells has increased by 7.2%. Let
Rudiy27
The function that models exponential growth is:

P(t) = P0*(1 + r)^t, where

P0 = P(0) is the initial value of P

r is the growth rate as a decimal

In our case we have:

P(0) = 2800

r = 0.035 or 3.5%

P(t) = 2800*(1 + 0.035)^t

P(t) = 2800*(1.035)^t

The same exponential function written using y and t is:

y = 2800*1.035^t.

Explanation: https://softmath.com/algebra-word-problems/to-begin-a-bacteria-study-a-petri-dish-had-2800-bacteria
7 0
3 years ago
The basket of golf balls at a miniature golf course contains 18 golf balls, of which 9 are red. What is the probability that a r
alexira [117]
It will be 2 because 19/9 is 2
5 0
3 years ago
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