2 Find the area of the shape. Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal. units

Answer:

(-3, 1)

Step-by-step explanation:

180° rotation clockwise:  (x,y) becomes (-x,-y)

Answer:

3

Step-by-step explanation:

Answer:

Q1

[tex]by \ pythagoras \ theorem : \\(3x +1 )^2 = (3x - 1)^2 +x^2\\\\9x^2 + 6x +1 = 9x^2 + 1 -6x +x^2\\\\9x^2 + 6x +1 = 10x^2 + 1 -6x \\\\ 10x^2 + 1 -6x - 9x^2 -6x -1 = 0 \\\\x^2 -12x = 0\\x(x - 12) = 0\\x = 0, 12\\since \ length \ cannot \be \ 0, x = 12\\OJ = 3x + 1 = 3(12) +1 = 37[/tex]

Q2

[tex]by \ pythagoras \ thm, \\(7x -12) ^2 = (5x +10)^2 +(2x)^2\\\\49x^ 2 +144 - 168x = 25x^2 +100+ 100x +2x^2\\\\49x^ 2 +144 - 168x - 25x^2 -100- 100x -2x^2 = 0\\\\22x^2 -268x -44 = 0\\11x^2 - 134x - 22 = 0\\x=12.0154[/tex]

Answer:

30 cm ^3

Step-by-step explanation:

Volume = Length x Width x Height

L and W =6cm^2

H=5cm

Hope this helps!

Answer:

a = - 1

b = - 9

c = 9

d = 3

e = 3

f = 2

g = 3/2

Step-by-step explanation:

For a;

6 - 2x = - (2x - 6)

For b;

-1 * 9 = - 9

For x ;

3x + (-9) = 3x - 9

3x - 9 = d(x - e)

Factorizing :

3(x - 3)

d = 3 ; e = 3

2x - 6 = f(x - 3)

Factorize :

2x - 6 = 2(x - 3)

3(x - 3) / 2(x - 3)

g = 3/2

9514 1404 393

Answer:

  x = -29/6 = -4 5/6

Step-by-step explanation:

The equation simplifies to ...

  ln(-3x·4) = ln(58)

Taking antilogs, the equation becomes ...

  (-3x)(4) = 58

Dividing by -12 shows us the value of x.

  x = -58/12

  x = -29/6 = -4 5/6

__

The applicable rule of logarithms is ...

  ln(ab) = ln(a) +ln(b)

Answer:

7x - 4x = 21

3x = 21

x = 21÷3

x = 7

=>x+45+45=180°

=>x+90=180°

=>x=180°-90°

=>x=90°

Answer:

Step-by-step explanation:

What is it help

Approximately 47.72% of phones have a battery life of between 4.5 and 5.25 hours.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

here, we have,

To determine the percentage of phones with a battery life between 4.5 hours and 5.25 hours, we need to find the area under the normal curve between those two points.

To do this, we can standardize the lower and upper limits of the range and use a table of the normal distribution to find the area.

The lower limit of the range, 4.5 hours, is 0.25 hours less than the mean of 5 hours. Since the standard deviation is 15 minutes, which is equal to 0.25 hours, the lower limit is 0.25 standard deviations below the mean.

The upper limit of the range, 5.25 hours, is 0.25 hours more than the mean of 5 hours. Since the standard deviation is 15 minutes, which is equal to 0.25 hours, the upper limit is 0.25 standard deviations above the mean.

The area under the normal curve between the lower and upper limits is therefore the area under the normal curve between -0.25 and 0.25 standard deviations.

Using a table of the normal distribution, we find that the area under the normal curve between -0.25 and 0.25 is approximately 0.4772.

Thus, about 47.72% of phones have a battery life between 4.5 hours and 5.25 hours.

Learn more about the standard deviation here:

brainly.com/question/14747159

#SPJ3

Answer:

664 miles by only going to work not coming back.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

MR = MN+NP+PQ+QR

MN=4 and MN≡QR so QR=4

PQ=6 and PQ≡NP so NP=6

MR = 4+6+6+4 = 20

Answer:

x = 2, y = -1.

Step-by-step explanation:

2x + y = 3

x  -   y  = 3

Adding the 2 equations eliminates y:

3x = 6

x = 2.

Substitute for x in the first equation:

2(2) + y = 3

y = 3 - 4

y = -1.

Check the results by substitution in equation 2:

2 - (-1)

= 2 + 1 = 3 .

Checks OK.

Answer:

60°

Step-by-step explanation:

360 - 300 = 60

Hope this helps!

Answer:

3:7

Step-by-step explanation:

15-8=7 green skateboards

3:7

Answer:

[tex]cos x =\frac{adjacent}{hypotenuse} = \frac{11}{20}\\\\x = cos^{-1} (\frac{11}{20} ) = 56.63[/tex]

x= 57°

Answer:

Not correct

Step-by-step explanation:

Given:

x² - 6x - 7 = 0

The following equation can be solved correctly by factoring Thus,

x² - x + 7x - 7 = 0

x(x - 1) +7(x - 1) = 0

(x - 1)(x + 7) = 0

(x - 1) = 0

x - 1 = 0

x - 1 + 1 = 0 + 1

x = 1

Or

(x + 7) = 0

x + 7 = 0

x + 7 - 7 = 0 - 7

x = -7

Therefore, the solution would be x = 1 or x = -7

Lateena solution is therefore NOT CORRECT because she used a wrong method.

Answer:

152

Step-by-step explanation:

f(x) times g(x) = 8x^2+8x-6

(2x-1) times (4x+6) = 8x^2+8x-6

====================================================

Explanation:

The functions f(x) and g(x) are linear functions. The result of f(x) ___ g(x) is some quadratic function.

It's very likely that the answer is a multiplication sign because of the general template of

(linear)*(linear) = (quadratic)

For example, x*3x = 3x^2.

Let's see if the two functions multiply out to 8x^2+8x-6 or not.

-----------------------

f(x) * g(x) = ( f(x) ) * ( g(x) )

f(x) * g(x) = ( 2x-1 ) * ( 4x+6 )

f(x) * g(x) = y * ( 4x+6 ) ......... let y = 2x-1

f(x) * g(x) = 4xy + 6y   ......... distribute

f(x) * g(x) = 4x( y ) + 6( y )

f(x) * g(x) = 4x( 2x-1 ) + 6( 2x-1 ) .... replace y with 2x-1

f(x) * g(x) = 8x^2-4x  + 12x-6  .... distribute twice more

f(x) * g(x) = 8x^2+8x-6

We end up getting the correct result. So this confirms that a multiplication sign is needed to fill in the blank.

Step-by-step explanation:

[tex] \: \:\huge\mathfrak\purple{Answer...} \\ \\ here \: is \: your \: solution \\ \\ area \: of \: parallelogram = base \times height \: \\ \\ base = 10cm \: \\ \\ height = 6cm \: \\ \\ aera \: of \: pralelogram = 10 \times 6 \: \\ \\ area \: = 60 \: cm.sq \\ \\ \huge\mathfrak\red{hope \: it \: helps...}[/tex]

Answer:

6

Step-by-step explanation:

2x-5=7

add 5 on both sides:

2x-5+5=7+5

2x=12

divide both sides by 2

2x/2=12/2

x=6

Answer:

6

Step-by-step explanation:

2−5=72x-5=7

2x−5=72−5+5=7+5

Answer:

a) 0.3140

b) 0.3098

c) 0.3447

Step-by-step explanation:

Given data :

p = 4% = 0.04

Assuming selections are independent for next 150 pieces

n = 150

a) Probability that 7,8,9 will be selected

P( 7,8,9 ) = 0.3140

b) probability that 7,8,9 will be selected using Poison approximation

P( 7,8,9 ) = 0.3098

c) using normal approximation to determine the probability from ( a )

P ( 7,8,9 ) = 0.3447

Attached below is the detailed solution

Answer:

  x = 2.5 or 7.5

Step-by-step explanation:

Subtract 3/4.

  |5 -x| = 10/4 = 2.5

This resolves to two equations:

The solutions are x = 2.5 or 7.5.

Answer:

When it is of the form axm a x m, where a a is a constant and m m is a whole number, it is called a monomial. Some examples of monomial are 8,−2x2,4y3, and11z7 8, − 2 x 2, 4 y 3, and 11 z 7. A monomial is a term of the form axm a x m, where a a is a constant and m m is a positive whole number.

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

Answer: 23.25m

Step-by-step explanation:

C=2πr=2·π·3.7≈23.24779m

Answer:

A is the answer

Step-by-step explanation:

Answer:

2(4)+6(4)

Step-by-step explanation:

Distribute

(4)(2+6)

(4x)(2x+6)2(4)+6(4)

2x(4x)+6(4x)

Solution

2(4)+6(4)

Please give brainliest :)

Answer:

Step-by-step explanation: