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pentagon [3]
1 year ago
15

Find the slope of the line that passes through (2,21) and (84, -30)

Mathematics
1 answer:
Flura [38]1 year ago
3 0

Answer:

-51/82.

Explanation:

Given two points (x1,y1)=(2,21) and (x2,y2)=(84,-30), we find the slope using the formula below:

m=\frac{y_2-y_1}{x_2-x_1}

Substitute the given points:

\begin{gathered} m=\frac{-30-21}{84-2} \\ m=-\frac{51}{82} \end{gathered}

The slope of the line that passes through the given points is -51/82.

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Use Euler’s Formula to find the missing number.<br> Edges: 37<br> Faces: 25<br> Vertices: ?
matrenka [14]

Answer:

Step-by-step explanation:

Comment

The formula that relates edges faces and vertices is  F + V = E + 2

Givens

Edges (E): 37

Faces (F) = 25

Vertices: x

Solution

25 + x = 37 + 2                Subtract 25 from both sides.

25-25 +x= 37 - 25 + 2    Combine

x = 12 + 2

x = 14

Answer: The vertices =<u> 14</u>

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2 years ago
Iodine-125 has a half-life of about 60 days.
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3 years ago
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the lengths of the sides of a triangle are 3,3, 3square root of 2. can the triangle be a right triangle? Yes or no?
Tema [17]
I think yes due to root 2 maybe I am wrong sorry id this was not helpful

7 0
3 years ago
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A hog producer is feeding soybean meal and corn to his pigs. He needs to know how many pounds he needs to feed of each in order
Mazyrski [523]

Answer:

Feed 1, Soybean meal required =  \dfrac{2000}{3} \text{ lbs.}

Feed 2, Corn meal required = \dfrac{4000}{3} \text{ lbs.}

Step-by-step explanation:

Total feed is <em>1 ton</em> i.e. <em>2000 lbs</em>.

Let <em>x</em> be the amount of Feed 1 required.

Feed 1 has 45\% of protein.

\text{Protein in Feed 1 = }x \times \dfrac{45}{100} ..... (1)

Then, amount of Feed 2 required = (2000 - x) \text{ lbs.}

Feed 2 has 15\% of protein.

\text{Protein in Feed 2 = }(2000 - x) \times \dfrac{15}{100} ..... (2)

As per question, total protein required is 25\% of 2000 lbs .

Adding (1) and (2) and putting it equal to total protein required.

\Rightarrow x \times \dfrac{45}{100} + (2000 - x) \times \dfrac{15}{100} = 2000 \times \dfrac{25}{100}\\\Rightarrow 45x + 30000 - 15x = 50000\\\Rightarrow 30x = 20000\\\Rightarrow x = \dfrac{2000}{3}

Feed 1 required = \dfrac{2000}{3}\text{ lbs .}

Feed 2 required = 2000 - \dfrac{2000}{3}\\

\Rightarrow \dfrac{4000}{3}\text{ lbs.}

7 0
3 years ago
13. GEOMETRY The formula for the area of a triangle is A = Loh , where A represents the area, b is the base, and his the height
Setler79 [48]

Answer:

Whoa! You made a rectangle that's twice as big as the triangle! The area of the rectangle is bh=4\times 5 = 20bh=4×5=20b, h, equals, 4, times, 5, equals, 20 square units, so the area of the triangle is \dfrac 12 by = \dfrac 12 \times 4 \times 5 = 10

2

1

​

bh=

2

1

​

×4×5=10start fraction, 1, divided by, 2, end fraction, b, h, equal, start fraction, 1, divided by, 2, end fraction, times, 4, times, 5, equals, 10 square units.

Step-by-step explanation:

A=

2

1

​

by

8 0
3 years ago
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