use the factor theorem to find all the zeros of f(x)=2x^3+7x^2-77x-40 given that (x-5) is a factor of the polynomial

What is the perimeter of this quadrilateral?<br> (5,5)<br> (2, 4)<br> (4, 1)<br> (6, 1)

lbvjy [14]

$~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{5}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{4}) ~\hfill AB=\sqrt{[ 2- 5]^2 + [ 4- 5]^2} \\\\\\ AB=\sqrt{(-3)^2+(-1)^2}\implies \boxed{AB=\sqrt{10}} \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{1}) ~\hfill BC=\sqrt{[ 4- 2]^2 + [ 1- 4]^2}$

$BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ C(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad D(\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) ~\hfill CD=\sqrt{[ 6- 4]^2 + [ 1- 1]^2} \\\\\\ CD=\sqrt{2^2+0^2}\implies \boxed{CD=2} \\\\[-0.35em] ~\dotfill\\\\ D(\stackrel{x_1}{6}~,~\stackrel{y_1}{1})\qquad A(\stackrel{x_2}{5}~,~\stackrel{y_2}{5}) ~\hfill DA=\sqrt{[ 5- 6]^2 + [ 5- 1]^2}$

$DA=\sqrt{(-1)^2+4^2}\implies \boxed{DA=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{\sqrt{10}~~ + ~~\sqrt{13}~~ + ~~2~~ + ~~\sqrt{17}}~~ \approx ~~ 12.89$

8 0

2 years ago

5th grade Pre algebra. Pls help I’m rlly stuck will give brainliest c:

anzhelika [568]

Step-by-step explanation:

so ,

Question 6 :-

5 × (3+4) - 4

first solve the Bracket ......

5 × (7) - 4

after multiplication ......

35 - 4

= 31

so , Answer is 1st one ....

Question 7 :-

8 + 1/2 × (6-2) -1

so , here also solve the Bracket first .....

8 + 1/2 × (4) - 1

after multiplication .....

8 + 2 - 1

after + and - .......

10 - 1

= 9 .......

so , Answer is 2nd one .....

4 0

1 year ago

Read 2 more answers

Find the percent change from the first value to the second 50;31

tiny-mole [99]

Answer:

-0.38%

Step-by-step explanation:

Divide 31 by 50. 31 / 50 = 0.62.

1 - 0.62 = 0.38

Since it is a decrease in change the percent change is negative.

-0.38%

6 0

2 years ago

Jenna surveyed her friends, asking each of them, "How many times have you been to the aquarium?" The resulting data set has a di

exis [7]

In the research, the distribution is described by its shape. If there are more higher values than lower values, the distribution is skewed left.

<h3>How to illustrate the research?</h3>

It should be noted that when the distribution of data is skewed to the <u>left</u>, the mean is less than the median.

The distribution can be described by its center. If the distribution is skewed left or right, the <u>median</u> is an accurate measure of center.

The distribution can be described by its spread. If the data set does not have an outlier, the interquartile range is an accurate measure of spread.

Learn more about research on:

brainly.com/question/25257347

5 0

1 year ago

Read 2 more answers

What is the proabilty that the card is either a diamond or an ace?

maks197457 [2]

The answer is 50% if you are just choosing between 2 cards and NOT the whole deck. Please mark most brainliest!

8 0

2 years ago