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scZoUnD [109]
2 years ago
11

2.

Mathematics
2 answers:
sp2606 [1]2 years ago
8 0
Here’s the answer w steps :)

Dafna1 [17]2 years ago
3 0
Slope (y2-y1)/(x2-x1)
(0-4)/(-5-5) = -4/-10 = 2/5
Y = 2/5x + b
Plug in any point
4 = 2/5(5) + b
4 = 2 + b, b= 2
Final equation: y = 2/5x + 2
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5x^2-x(x+4)
5x^2-x^2-4x
4x^2-4x is your answer
4 0
3 years ago
. A biologist is comparing the growth of a population of flies per week to the number of flies an iguana will consume per week.
Veseljchak [2.6K]
We are given the equation <span>3^x = 2x + 1 in which x as the number of days of the population of flies and the number of flies consumed by iguana each week. In this case, the other equation described when x =7 population is not more than 8. The graph is a logarithmic graph</span>
3 0
3 years ago
Read 2 more answers
Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-c
natali 33 [55]

Answer:  By the slope formula.

Step-by-step explanation:

Given: ABC is a triangle (shown below),

In which A≡(6,8), B≡(2,2) and C≡(8,4)

And, D and E are the mid points of the line segments AB and BC respectively.

Prove: DE║AC and DE = AC/2

Proof:

Since, And, D and E are the mid points of the line segments AB and BC respectively.

Therefore, By mid point theorem,

coordinate of D are (\frac{2+6}{2} , \frac{2+8}{2} ) = (\frac{8}{2} , \frac{10}{2} )= (4,5)

Coordinate of E are  (\frac{2+8}{2} , \frac{2+4}{2} ) = (\frac{10}{2} , \frac{6}{2} )= (5,3)

By the distance formula,

DE=\sqrt{(5-4)^2+(3-5)^2}=\sqrt{5}

AC=\sqrt{(8-6)^2+(4-8)^2}=2\sqrt{5}

By the slope formula,

Slope of AC = \frac{4-8}{8-6} = \frac{-4}{2} = -2

Slope of DE =  \frac{3-5}{5-4} = \frac{-2}{1} = -2


            Statement                                              Reason

1. The coordinate of D are (4,5)  and           1. By the midpoint formula

the coordinate of  E are (5,3)

2. The length of DE = √5                            2. By the Distance formula

The length AC = 2√5 ⇒ Segment DE

is half the length of segment AC

3. The slope of DE = -2 and the                3. By the slope formula

slope of AC = -2

4. DE║AC                                                   4. Slopes of parallel lines are equal


7 0
3 years ago
Read 2 more answers
Which parallelogram has an area of 60 square units? Select the correct
faust18 [17]
Wait what is what which number goes to what letter
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3 years ago
What is the formula for the area of a triangle?
SashulF [63]

<em>The</em><em> </em><em>formula</em><em> </em><em>to</em><em> </em><em>find</em><em> </em><em>the</em><em> </em><em>area</em><em> </em><em>of</em><em> </em><em>a</em><em> </em><em>triangle</em><em> </em><em>is</em><em> </em><em>:</em>

<em>1</em><em>/</em><em>2</em><em> </em><em>base</em><em>*</em><em>height</em>

<em>For</em><em> </em><em>inst</em><em>ance</em><em>:</em>

<em>base</em><em>=</em><em>4</em><em> </em><em>cm</em>

<em>height</em><em>=</em><em>5</em><em>c</em><em>m</em>

<em>area</em><em> </em><em>of</em><em> </em><em>traingle</em><em>=</em><em>1</em><em>/</em><em>2</em><em>*</em><em>b</em><em>*</em><em>h</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>1</em><em>/</em><em>2</em><em>*</em><em>4</em><em>*</em><em>5</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>1</em><em>0</em><em>c</em><em>m</em><em>^</em><em>2</em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> </em><em>on</em><em> </em><em>your</em><em> </em><em>assignment</em>

6 0
3 years ago
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