Hallar la ecuación de la recta (2,3) y (1,-2)

Answer:

Below in bold.

Step-by-step explanation:

Perimeter = 2*width + 2*length

So

240 = 2w + 2l

120 = w + l

l = 120 - w

(a) Area = w*l

Substituting for l:

A = w(120 - w)

A = 120w - w^2

(b)

Finding the derivative:

A = 120w - w^2

A' = 120 - 2w

For a maximum area A' = 0, so:

120 - 2w = 0

2w = 120

w = 60 yards for maximum area.

(c)

Maximum area

= 120*60 - 60^2

= 3600 yd^2.

Answer:

a+2b

Step-by-step explanation:

2(a+2b)-a-2b

2a+4b-a-2b

=a+2b

Answer:

Step-by-step explana:2 ( a+ 2b) - a- 2b

=2a + 4b - a - 2b= a + 2b  

Area of a circle is pi x radius^2

Area = pi x 22 ^2

Area = pi x 484

Area = 1,519.8 mm^2

Answer:

1520.5mm²

Step-by-step explanation:

Area of a circle=πr²

π(22mm)²

π484mm²

1520.5308443374599mm²

to one decimal place

1520.5mm²

Answer:

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

2/5 pickled peppers means that there are 2 pickled peppers out of 5 total peppers.

Answer:

p=2

q=9

Step-by-step explanation:

4p+5q=53

6p+5q =57

Answer:

Step-by-step explanation:

[tex]20 \frac{1}{4} =\frac{80+1}{4} =\frac{81}{4} \\\sqrt{\frac{81}{4} } =\frac{9}{2} =4.5[/tex]

Step-by-step explanation:

answer in the image above

Answer:

x = -0.5

Step-by-step explanation:

-7x-3=5x+3

+7x       +7x

-3=12x+3

-3        -3

-6=12x

x=-0.5

Answer:

The value of k is 14.

Step-by-step explanation:

(x - 2) is a factor of the polynomial

[tex]x - 2 = 0 \rightarrow x = 2[/tex]

This means that [tex]p(2) = 0[/tex]

p(x) = 2x² + 3x - k​

[tex]p(2) = 2(2)^2 + 3(2) - k[/tex]

[tex]0 = 8 + 6 - k[/tex]

[tex]14 - k = 0[/tex]

[tex]k = 14[/tex]

The value of k is 14.

Answer:

12.906%/year

Step-by-step explanation:

Given data

Principal= $1000

Final Amount= $1900

Time= 5 years

The compound interest formula is given as

A= P(1+ r/n)^nt

Solving for rate r as a decimal

r = n[(A/P)1/nt - 1]

r = 12 × [(1,900.00/1,000.00)1/(12)(5) - 1]

r = 0.12906

Then convert r to R as a percentage

R = r * 100

R = 0.12906 * 100

R = 12.906%/year

Answer:

64.2 minutes

Step-by-step explanation:

We are given that

Shen set timer to run=93 minutes

He has finished his run=69%

We have to find total number of minutes have gone by.

69% of 93

=[tex]\frac{69}{100}\times 93[/tex]

By using

a%[tex]=\frac{a}{100}[/tex]

69% of 93=[tex]\frac{6417}{100}[/tex]

69% of 93=64.17 min

69% of 93[tex]\approx 64.2min[/tex]

Hence, 64.2 minutes have gone by.

Answer:

24/40

Step-by-step explanation:

You can multiply both the numerator and denominator by any number

Option #3: Lets multiply by 1/2 since when you multiply 6*1/2 it equals 3 and that is the same numerator as option #3 and so now let's do the same again to the denominator 10*1/2 equals 5 and that is NOT equal to 6 in the denominator for option #3 and you can't get 3 any other way than multiplying by 1/2 (same as *.5) and so it is wrong.

Now since we know how to do it I'll just do the math for the rest.

Option 1:

6/10

6*2/10*2

12/20 and that doesn't match so it's wrong.

Option 2:

6/10

6*4/10*4

=

24/40

It matches so it's correct let's try option 4 just to check.

Option 4:

6/10

6*2/10*2

12/20

that doesn't match so it's wrong (you could have tried multiplying by decimals by I doubt you are there to that kind of math yet.)

Answer: 24/40

9514 1404 393

Answer:

  B. 8 and 24

Step-by-step explanation:

There are a number of approaches you can use here. One of them is to choose the only answer that makes any sense in the problem.

The problem tells you the numbers have a ratio of 3, so numbers like 8 and 25, 9 and 24, 9 and 25 cannot be the answer.

The only answer choice that makes any sense is B: 8 and 24.

__

If you want to work the problem, there are different ways you can do that. One of my favorite is to consider ratio units. The ratio of the two numbers is 3:1. The difference of the two numbers is 3-1 = 2 ratio units, which we are told is 16. Then each ratio unit represents 16/2 = 8. Then the numbers are ...

  3×8 and 1×8 = 24 and 8.

Or, you can let a variable represent one of the numbers. If x is the first number, then the other number is 1/3x, and their difference is ...

  x -1/3x = 16

  2/3x = 16

  x = 16(3/2) = 24

The numbers are 24 and 24/3 = 8.

__

Additional comment

You need to talk to your teacher about this question. The answer choices list the smaller number first, but the problem statement tells you the first number is 3 times the second number. The correct answer would be 24 and 8.

Answer:

where are you from Korea or not

Hope it helps you!

-miraculousfanx-

Answer:

The mean is 6.14

Step-by-step explanation:

Given

See attachment

Required

The mean

Mean is calculated as:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

So, we have:

[tex]\bar x = \frac{5 * 4 + 10 * 6 + 14 * 7}{29}[/tex]

[tex]\bar x = \frac{178}{29}[/tex]

[tex]\bar x = 6.14[/tex]

Answer:

Step-by-step explanation:

y=3√x

domain : all real values≥0

Answer:

option C

Step-by-step explanation:

[tex]4c^2 + 7c - 5 = 0 , \ where \ a = 4 , \ b = 7 , \ x = - 5[/tex]

[tex]c = \frac{- b \pm \sqrt{b^2 - 4ax }}{2a} \\\\c = \frac{- 7 \pm \sqrt{49 - ( 4 \times 4 \times - 5 )}}{2 \times 4} \\\\c = \frac{- 7 \pm \sqrt{49 + 80}}{8} \\\\c = \frac{- 7 \pm \sqrt{49 + 80}}{8} \\\\c = \frac{- 7 \pm \sqrt{129}}{8} \\\\[/tex]

Answer:

Option C

Step-by-step explanation:

Quadratic formula:

[tex]4c^{2} +7c-5=0[/tex]

[tex]a=4\\b=7\\x=-5[/tex]

[tex]c=\frac{-b\frac{+}{} \sqrt{b^2-4ax}}{2a}[/tex]

[tex]c=\frac{-7\frac{+}{}49-(4*4*-5) }{2*4}[/tex]

[tex]c=\frac{-7\frac{+}{}\sqrt{129} }{8}[/tex]

hope this helps....

Answer:

6 kwh

Step-by-step explanation:

(51 - 21.9)/4.66 = 6.24 => 6 kwh

Answer:

27.5 miles per gallon

1 full tank = 15.45 gallons

27.5 x 15.45 = 424.875 miles

rounded to the nearest 100th: 424.88 miles

nearest 10th: 424.9 miles

nearest whole #: 425 miles

Answer:

the mod always gives positive answers

so the answer will be

Step-by-step explanation:

x+2+4=11

x+6=11

x=11-6

x=5

answer is x is 5

Answer:

x=5,9

Step-by-step explanation:

|x+2|+4=11

|x+2| = 7

next you get two answers by adding two or subtracting two. SO the right answer should be 5 and 9. A is wrong . I DONT SEE THE OTHER ANSWER CHOICES BUT THIS IS WHAT I GOT.

Step-by-step explanation:

Có 7 mặt phẳng

5 mặt phẳng của hình chóp S.ABCD và (SAC), (SBD)

Cậu nên hỏi trên mấy web Việt Nam thì hơn tại đa số mấy người ở đây toàn nước ngoài ạ

9514 1404 393

Answer:

  15

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

  f(-3) = (-3)² -2(-3) = 9 +6

  f(-3) = 15

15

Step-by-step explanation:

f(-3)=(-3)^2 - 2(-3)

= 9 + 6 = 15

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

72/8 = 9 acres per day

Answer:

[tex]\frac{12}{49}[/tex]

Step-by-step explanation:

[tex]\frac{4}{7} *\frac{3}{7} = \frac{12}{49}[/tex]

Hope this helps.

Answer:

21 is the answer I think sike I lied ik its not im just trying get this over with

You can use this formula to work out the area of a triangle when you know two sides and the angle inbwtween them :

1/2 x a x b x sin(C)

where a and b are the two sides you know and C is the angle in between them.

So here a = 7, b = 14, C = 125.

Area = 1/2 x 7 x 14 x sin(125) = 40.138...

= 40.1 (nearest 10th)

Answer:

volume quantity is hjaj