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4 years ago

15

Find the distance between the given points. Round to the nearest tenth.

1 answer:

Elena-2011 [213]4 years ago

7 0

-1/8 because Yu can use rise over run

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5. Which of the following shows 12/28 written in prime factored form to help in reducing the fraction to simplest form?

Simora [160]

Answer: A. _3x2x2____

7x2x2

Step-by-step explanation:

given fraction 12/28

here is the numerator = 12 = 2x2x3

here is the Denominator = 28 = 2x2x7

the prime factorization simplest form is _12_= _2x2x3______

28 7x2x2

the simplest form is 12/28 is 3/7

Mark me as brainliest

4 0

3 years ago

Determine the coordinates of the vertices of the triangle to compute the area of the triangle using the distance formula (round

Karo-lina-s [1.5K]

Answer:

1. D. $50\text{ units}^2$

2. D. 45 units.

Step-by-step explanation:

We have been two graphs.

1. To find the area of our given triangle we will use distance formula.

$\text{Distance}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Upon substituting coordinates of base line of our triangle we will get,

$\text{Base length of triangle}=\sqrt{(15-5)^2+(5-15)^2}$

$\text{Base length of triangle}=\sqrt{(10)^2+(-10)^2}$

$\text{Base length of triangle}=\sqrt{100+100}$

$\text{Base length of triangle}=\sqrt{200}$

$\text{Base length of triangle}=10\sqrt{2}$

Now let us find the height of triangle similarly.

$\text{Height of triangle}=\sqrt{(20-15)^2+(10-5)^2}$

$\text{Height of triangle}=\sqrt{(5)^2+(5)^2}$

$\text{Height of triangle}=\sqrt{25+25}$

$\text{Height of triangle}=\sqrt{50}$

$\text{Height of triangle}=5\sqrt{2}$

$\text{Area of triangle}=\frac{\text{Base*Height}}{2}$

$\text{Area of triangle}=\frac{10\sqrt{2}*5\sqrt{2}}{2}$

$\text{Area of triangle}=\frac{50*2}{2}$

$\text{Area of triangle}=50$

Therefore, area of our given triangle is 50 square units and option D is the correct choice.

2. Using distance formula we will find the length of large side of triangle as:

$\text{Large side of rectangle}=\sqrt{(14-1)^2+(21-8)^2}$

$\text{Large side of rectangle}=\sqrt{(13)^2+(13)^2}$

$\text{Large side of rectangle}=\sqrt{169+169}$

$\text{Large side of rectangle}=\sqrt{338}$

$\text{Large side of rectangle}=13\sqrt{2}$

$\text{Small side of rectangle}=\sqrt{(4-1)^2+(5-8)^2}$

$\text{Small side of rectangle}=\sqrt{(3)^2+(-3)^2}$

$\text{Small side of rectangle}=\sqrt{9+9}$

$\text{Small side of rectangle}=\sqrt{18}$

$\text{Small side of rectangle}=3\sqrt{2}$

$\text{Perimeter of rectangle}=2(\text{Length + Width)}$

$\text{Perimeter of rectangle}=2(13\sqrt{2}+3\sqrt{2}}$

$\text{Perimeter of rectangle}=2(16\sqrt{2}}$

$\text{Perimeter of rectangle}=32\sqrt{2}$

$\text{Perimeter of rectangle}=45.2548339959390416\approx 45$

Therefore, the perimeter of our given rectangle is 45 units and option D is the correct choice.

8 0

4 years ago

Read 2 more answers

Need to finissssshhhhhh

Kryger [21]

Anything to the power 0 equals to 1
And the negative power will divided by 1 to become a positive power
So the answer is D (-z/y^7)

4 0

3 years ago

Solve for the letter h

sdas [7]

Answer:

v=ha^2/3

Step-by-step explanation:

5 0

3 years ago

Joshua and Caleb work at a furniture store. Joshua is paid $175 per week plus 5% of his total sales in dollars, x, which can be

Agata [3.3K]

Answer: x = $11,900

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Joshua’s earnings: g(x)=175+0.05x

Caleb's earnings: f(x)=532+0.02x.

So, if both earnings are equal:

g(x) =f (x)

175+0.05x =532+0.02x

Solving for x:

0.05x-0.02x = 532-175

0.03x= 357

x = 357 /0.03

x = $11,900

Feel free to ask for more if needed or if you did not understand something.

5 0

3 years ago