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USPshnik [31]
3 years ago
13

Can 10-12 be solved Answer Fast!!!!!!

Mathematics
1 answer:
zzz [600]3 years ago
6 0

Answer:

10/------   5x+2y=14

11/------   1x+6y=2

12/ -----    9x+6y=12

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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
This figure has a length of 10 cm, a width of 7 cm, and a height of 3 cm. What is its surface area?
pochemuha
About 210 centimeters
7 0
3 years ago
For each of the questions, find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to
Step2247 [10]

Answer:

1. D

2. D

3. C

Step-by-step explanation:

3 0
4 years ago
PLEASE HELP!!!!! IM VERY STRESSED
ololo11 [35]
X intercept (3/2 , 0)
Y intercept (0, -3)
7 0
3 years ago
Round 708,569 to the nearest ten thousand
Hoochie [10]

Answer:

710,000

Step-by-step explanation:

Make the number whose last four are <em>0</em><em>0</em><em>0</em><em>1</em> through <em>4</em><em>9</em><em>9</em><em>9</em> in the <em>next</em><em> </em><em>lower </em><em>number</em><em> </em>that <em>ends</em> in <em>0</em><em>0</em><em>0</em><em>0</em><em>.</em>

<em>for</em><em> </em><em>example</em><em>:</em>

265,427 rounded to the nearest ten thousand is 270,000

8 0
3 years ago
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