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2 years ago

Find the difference. (2g^2+3g-8)-(5g+1)

Mathematics

1 answer:

Sonja [21]2 years ago

4 0

We can remove parenthesis if we change the sign of all terms in the second parenthesis (because we're subtracting it).

So, we have

$(2g^2+3g-8)-(5g+1) = 2g^2+3g-8-5g-1$

And now we simply have to aggregate like terms:

$2g^2-2g-9$

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Two window washers start at the heights shown. (A: 21 ft high rising 8 in per second. The other is 50 feet high descending 11inc

babunello [35]

For this case, the first thing we are going to do is write the generic equation of motion for the vertical axis.

We have then:

$h = \frac {1} {2} gt ^ 2 + vo * t + h0$

Where,

g: acceleration of gravity
vo: initial speed
h0: initial height

For the first body:

$h1 = \frac {1} {2} gt ^ 2 + \frac {8} {12} * t + 21$

For the second body:

$h2 = \frac {1} {2} gt ^ 2 - \frac {11} {12} * t + 50$

By the time both bodies have the same height we have:

$h1 = h2\\$

$\frac {1} {2} gt ^ 2 + \frac {8} {12} * t + 21 = \frac {1} {2} gt ^ 2 - \frac {11} {12} * t + 50$

Rewriting we have:

$\frac {8} {12} * t + 21 = - \frac {11} {12} * t + 50$

$\frac {8} {12} * t + \frac {11} {12} * t = 50 - 21$

$\frac {19} {12} * t = 29$

Clearing time:

$t = 29 (\frac {12} {19})\\t = 18.31s$

Answer:

it takes 18.31s for the two window washers to reach the same height

6 0

2 years ago

Read 2 more answers

What is the radical form of the expression? (5x3y4)37 ↡

hram777 [196]

Option 4: $\sqrt[7]{125x^9y^{12}}$ is the right answer

Step-by-step explanation:

Given expression is:

$(\sqrt{5x^3y^4})^{\frac{3}{7}$

In order to convert an exponent into radical form, the power should be in the form of 1/x where x is any number

so,

in case of 3/7, it will be broken down

$(\sqrt{5x^3y^4})^{3*\frac{1}{7}}$

The 1/7 will be converted into base of radical while 3 will be he exponent

$\sqrt[7]{(5x^3y^4)^3}$

Multiplying exponents

$=\sqrt[7]{5^3x^{3*3}y^{4*3}}\\=\sqrt[7]{125x^9y^{12}}$

Hence,

Option 4: $\sqrt[7]{125x^9y^{12}}$ is the right answer

Keywords: Radicals, Exponents

Learn more about exponents at:

#LearnwithBrainly

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2 years ago

Joe drew a diagram of a window as shown below. The window is formed by a square and a semicircle. The area of the square portion

abruzzese [7]

One side of the square measures 28 inches. Use 3.14 for π.

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2 years ago

Which of the following statements about 42xy – 49x + 30y – 35 are true? Check all of the boxes that apply. One of the factors is

kipiarov [429]

Answer:

One of the factors is (7x + 5).

One of the factors is (6y – 7).

Step-by-step explanation:

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2 years ago

Why might the triangulation method not always produce an exact point (other than any measurement errors)

Rufina [12.5K]

Answer:

The triangulation method might not always produce an exact point (other than any measurement errors) because:

The method uses different data sources, researchers, and theories or perspectives.

Step-by-step explanation:

Research Triangulation uses multiple methods, data sources, different investigators, and varied theories for the purpose of developing a more comprehensive understanding of the underlying situations. Triangulation validates the qualitative research by obtaining information from different sources, investigators, viewpoints, or methods.

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2 years ago