The length of a swimming pool is 8m longer than its width and the area is 105m2

Answers

Answer 1

Answer: $width : w \n length : \ l = w + 8 \n A = 105 \ m^2 \n \nA= w \cdot l \n \nw(w+l)=105 \n \nw^2+w = 105 \n \nw^2+w-105 =0 \n \n(w+15)(w-7)=0 \n \nw+15 =0 \ \ or \ \ w-7 = 0 \n \nw = -15 \ \ or \ \ w=7 \n \n width \ cant \ be \ negative, \ so \n \n w = 7 \ and \ l = w+8 = 7 +8 =15 \n \nchek : \n \n A=w\cdot l \n \nA=7\cdot 15=105 \ m^2$

Answer 2

Answer: $l\ \rightarrow\ the\ length\nw\ \rightarrow\ the\ width \n\nl=w+8\ \ \ and\ \ \ l\cdot w=105\ \ \ and\ \ \ l>0,\ w>0\n\n(w+8)\cdot w=105\ \ \ \Rightarrow\ \ \ w^2+8w=105\n\n w^2+2\cdot4w+4^2=105+4^2\n\n (w+4)^2=105+16\ \ \ \Rightarrow\ \ \ (w+4)^2=121\n\nw+4=11\ \ \ or\ \ \ w+4=-11\n\nw=7\ \ \ \ \ \ \ \ \ \ or\ \ \ w=-15<0\n\nw=7\ \ \ \Rightarrow\ \ \ l=7+8=15\n\nAns.\ the\ length\ is\ 15\ m\ \ and\ \ the\ width\ is\ 7\ m.$

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What is the solution of the system? Use substitution. 3x + 2y = 7
y = –3x + 11
A.(6, -3)
B.(6, -7)
C.(-4, 19/2)
D.(5, -4)

Answers

Substitution is where you substitute, basically. So, substitute "y" for y.

They have given you y: -3x+11.

They have also given you an equation for you to substitute y into: 3x+2y=7.

Now, you can create the substituted problem.

3x + 2(-3x + 11 ) = 7

Use distributive property.

3x + -6x + 22 = 7

Add like terms.

-3x + 22 = 7

Subtract 22 from 7.

-3x = -15

Divide.

x = 5.

Now, that you have x, plug "5" back into the original equations or at least one of them to find your y.

I will do both to show you.

3(5) + 2y = 7

15 + 2y = 7

2y = -8

y = -4

You would get -4 with the other equation, too.

y = -3(5) + 11

y = -15 + 11

y = -4

Now, since you have x= 5, y= -4, that would be equivalent to (5, -4) which would be answer choice D.

*side note* because only one of the answer choices started with x being equivalent to y, you wouldn't need to go through finding y as the only possible answer choice could be D. However, it is always good to check and make sure you didn't do anything wrong with x by finding y. Also, I have done y for you not only in my benefit, but to show you what you would do if D wasn't so obvious when you only find x.

Subtract (3 + 2i) from (–9 – 8i).a. –17 – 5i

b. –6 – 6i

c. –12 – 10i

d. 12 + 10i

Answers

The answer is -12-10i

Given two complex numbers

First complex number = 3+2i ....(1)

Second Complex number = -9-8i..... (2)

Subtracting equation (1) from equation (2)

As this is a subtraction between complex numbers hence the Real part gets subtracted from the real part and the imaginary part gets subtracted from the imaginary part

( -9- 8i ) - ( 3 +2i )

= -9 -3 -8i - 2i

= -12 -10i

For more information please refer to the link given below

brainly.com/question/10516341

(-9-8i)-(3+2i)
= -9-8i-3-2i
Separate i and the numbers
= (-9-3)+(-8i-2i)
= -12-10i

Faye used a stopwatch to find that in 352 minutes, she read 88 pages.Measured in seconds, how long did it take Faye to read 1 page?

Answers

88 pages = 352 minutes
1 page = 352/88 = 4 minutes
4 minutes = 240 seconds.

For Faye to read 1 page, it took her 240 seconds

3. Use the Babylonian method to approximate √19 to the nearest hundredth.

Answers

the square root of 19 is 4.36 when rounded to the nearest hundredth

Given the data points (1, 4), (2, 9), and (4, 19), which of the following equations describes the best-fit line?A. = -1 + 5x
B. = 1 + 5x
C. = 2 + 5x
D. = 5 + 1x

Answers

"A." is the correct answer. if you plug in the x number to the given answers, "A" gives the correct answer for each piont

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Answers

y = 18 is just a straight horizontal line at (0,18)

Answer:

Use the slope-intercept form to find the slope and y-intercept

Any line can be graphed using two points. Select two x

values, and plug them into the equation to find the corresponding y

values. Graph the line using the slope and the y-intercept, or the points.

Slope: 2

y-intercept: 18

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