All categories

4 years ago

HELP QUICK! EASY POINTS!

Mathematics

1 answer:

Nana76 [90]4 years ago

4 0

Answer:

Answer is option d) a=1 b=4

Step-by-step explanation:

$given \: equation \: is \: \\ {x}^{2} - 2x - 3 = 0 \\ by \: factorization \: we \: get \\ (x - 3)(x + 1) = 0 \\ x - 3 = 0 \\ x = 3 \\ x + 1 = 0 \\ x = - 1 \\ x = 3 \: \: or \: x = - 1 \\ value \: of {(x - a)}^{2} when \: x = 3 \: and \: a = 1 \\ {(3 - 1)}^{2} = {2}^{2} = 4 \\ if \: we \: substitute \: x = - 1 \: we \: get \: same \: answer$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

You might be interested in

The area of a compact disc is 452 4/7 square centimeters. What is the diameter of a compact disc ? Use 22/7 as an approximation

motikmotik

$\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} A=452\frac{4}{7} \end{cases}\implies 452\frac{4}{7}=\pi r^2\implies \cfrac{3168}{7}=\pi r^2 \implies \cfrac{3168}{7\pi }=r^2 \\\\\\ \stackrel{\pi =\frac{22}{7}}{\cfrac{3168}{7\cdot \frac{22}{7}}}=r^2\implies \cfrac{3168}{22}=r^2\implies 144=r^2\implies \sqrt{144}=r\implies 12=r \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{diameter=2r}{d=24}~\hfill$

6 0

3 years ago

A concert is held in a stadium with stadium seating. there are 25 seats in the first row, 27 seats in the second row, 29 seats i

ziro4ka [17]

Alright, so let's make a function for the number of seats in a row. Number of seats = 25+ (number of row-1)(2) because it goes up by two. We start with 25, so we have that, then we get that it adds by 2 every row. However, for the first row it only has 25, so we have the number of the row -1 .If we figure out the 200th row, we get 25+398=423. Adding that and 25, we get 448. 448*100=44800, and we get that number because with an even number of rows, we add the 1st and 200th, the 2nd and 99th, and so on. This works because as you go up rows, you add two, and as you decrease rows, you decrease by two, so they cancel each other out and form 100 pairs. All pairs are equal.

8 0

4 years ago

PLEAS EHELP PLEASEEEEEE

vichka [17]

$\%\text{error}=\dfrac{|\text{estimated value}-\text{actual value}|}{\text{actual value }}\cdot100\%\\\\\%\text{error}=\dfrac{|265-297|}{297}\cdot100\%\\\%\text{error}=\dfrac{|-32|}{297}\cdot100\%\\\%\text{error}=\dfrac{32}{297}\cdot100\%\\\%\text{error}\approx10.8\%$

3 0

3 years ago

A bouqet had 10 flower and sold it for 90$ which is the rate of $_ per flower

lana [24]

Answer:

$9 per flower

Step-by-step explanation:

divide cost ($90) by the number of items (10 flowers)

6 0

3 years ago

Read 2 more answers

A rectangle is constructed with its base on the diameter of a semicircle with radius 2 and with its two other vertices on the se

stealth61 [152]

Answer:

L = 2*√2

w = √2

Step-by-step explanation:

Given:

A rectangle is constructed with its base on the diameter of a semicircle with radius 2 and with its two other vertices on the semicircle.

Find:

What are the dimensions of the rectangle with maximum area?

Solution:

- Let the length and width of the rectangle be L and w respectively.

- We know that Length L lie on the diameter base. So , L < 4 and the width w is less than 2 . w < 2.

- Using the Pythagorean Theorem, we relate the L with w using the radius r = 2 of the semicircle.

r^2 = (L/2)^2 + (w)^2

sqrt (4 - w^2 ) = L / 2

L = 2*sqrt (4 - w^2 ) L < 4 , w < 2

- The relation derived above is the constraint equation and the function is Area A which is function of both L and w as follows:

A ( L , w ) = L*w

- We substitute the constraint into our function A:

A ( w ) = 2*w*sqrt (4 - w^2 )

- Now we will find the critical points for width w for which A'(w) = 0

A'(w) = 2*sqrt (4 - w^2 ) - 2*w^2 / sqrt (4 - w^2 )

0 = [2*sqrt (4 - w^2 )*sqrt (4 - w^2 ) - 2*w^2] / sqrt (4 - w^2 )

0 = 2*(4 - w^2 ) - 2*w^2

0 = -4*w^2 + 8

8/4 = w^2

w = + sqrt ( 2 ) ..... 0 < w < 2

- From constraint equation we have:

L = 2*sqrt (4 - 2 )

L = 2*sqrt(2)

7 0

4 years ago