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4 years ago

Which of the following transformations always create congruent figures?

Mathematics

1 answer:

madam [21]4 years ago

3 0

Everything except for Translations im pretty sure

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Sara threw her math book off a building . The height of the book, seconds after being thrownis modeled by the equation below. Th

Vikentia [17]

Answer: 70 ft

Step-by-step explanation:

Given

height of book is measured by the function is

$h(x)=-5(x+2)(x-7)$

when the book is thrown $x=0$

$\therefore h(x=0)=-5(0+2)(0-7)\\\Rightarrow h(x=0)=70\ ft$

The height of the book is $70\ ft$

4 0

3 years ago

Solve this please .......

nikdorinn [45]

Answer:

The sum of reciprocals is 2/3.

You don't need complex numbers to solve this, but if you try to find a and b you will need complex numbers.

Step-by-step explanation:

a+b = 2

a*b = 3

1/a + 1/b = x

(a*b)*(1/a + 1/b) = (a*b)x

b + a = (a*b)(x)

2 = 3x

x = 2/3

b = 2 - a

a*(2 - a) = 3

-a^2 + 2a = 3

-a^2 + 2a - 3 = 0

a^2 - 2a + 3 = 0

let's solve the quadratic equation

a^2 - 2a + 3 = a^2 - 2a + 1 + 2 = (a - 1)^2 + 2 = 0

(a - 1)^2 = -2

$a_1 - 1 = \sqrt{2}i\\a_1 = 1+\sqrt{2}i\\\\a_2 - 1 = -\sqrt{2}i\\a_2 = 1 - \sqrt{2}i\\$

these options correspond to a and b from the original question.

8 0

2 years ago

there are 36 capenters in a crew. Ona certain day,29 were present .What percent showed up for work?[round to the nearest tenth

aliina [53]

Answer:

Step-by-step explanation:

We assume, that the number 36 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 36, so we can write it down as 100%=36.

4. We know, that x% equals 29 of the output value, so we can write it down as x%=29.

5. Now we have two simple equations:

1) 100%=36

2) x%=29

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=36/29

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29 is what percent of 36

100%/x%=36/29

(100/x)*x=(36/29)*x - we multiply both sides of the equation by x

100=1.24137931034*x - we divide both sides of the equation by (1.24137931034) to get x

100/1.24137931034=x

80.5555555556=x

x=80.5555555556

now we have:

29 is 80.5555555556% of 36 to the nearest tenth is 81%

4 0

3 years ago

An airplane on a transatlantic flight took 4 hours 20 minutes to get from New York to its destination, a distance of 3,000 miles

ankoles [38]

738.

3200/4.33= 739.01

The closest to that is 738

4 0

2 years ago

Plz show working for binary addition. please solve. 11000 + 110101 + 101011

olga_2 [115]

Answer: The answer to this is 222112

Step-by-step explanation: Its quite simple actually, you add all these numbers together, you bring up any ones that are extras then you add all the ones to the direct answer :> ( Hope this helps!)

4 0

3 years ago