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fenix001 [56]
3 years ago
8

PLS HELP WILL MARK BRAINLIEST TO THE BEST ANSWER !

Mathematics
1 answer:
il63 [147K]3 years ago
6 0

Answer:

1. 2x+5

2. 20x-8y

3.2a+2b+3b+sqrt(2)

Step-by-step explanation:

1. 2/5x+1 is one side, and it's a regular pentagon, so it's 5(2/5x+1). 5(2/5x+1)=2x+5, so the perimeter is 2x+5.

2.due to all the angles of the cross the same, they must be right angles, and because of this, we can assume that the cross can be made a square with the same length and width, and that the extra part is equivalent to the sides, so we can do 8(5/2x-y). 8(5/2x-y)=20x-8y, which means 20x-8y is the answer.

3. due to the congruent sides, we know this right triangle is a 45 45 90 triangle, which means we know that the hypotenuse of triangle a is 3b/2, and furthermore triangle a is also a 45 45 90 triangle so its legs are (3b/2)*sqrt(2). when adding all the sides together, we get 2((2a-b)/2)+2(3b/2)+2(3b/2*sqrt(2)) =2a-b+3b+3b*sqrt(2)=2a+2b+3b+sqrt(2), thus the answer is 2a+2b+3b+sqrt(2).

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Which ordered pair is in the solution set of 2x - 5y ≥ 10?
Taya2010 [7]

(3,5)

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I need someone to help me do this, see attached documents for the questions
Brilliant_brown [7]

Answer:

<u><em>1.) 20.2</em></u>

Step-by-step explanation:

1.) You need to use the distance formula:

d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

Find the distance of A to B first:

(-2,2)(3,2)\\\\\sqrt{(3+2)^2+(2-2)^2}\\\\\sqrt{(5)^2+(0)^2}\\\\\sqrt{25} =5

B to C:

(3,2)(-1,-5)\\\\\sqrt{(-1-3)^2+(-5-2)^2}\\\\\sqrt{(-4)^2+(-7)^2}\\\\\sqrt{16+49}\\\\\sqrt{65} =8.06=8.1

C to A:

(-1,-5)(-2,2)\\\\\sqrt{(-2+1)^2+(2+5)^2}\\\\\sqrt{(-1)^2+(7)^2}\\\\\sqrt{1+49}\\\\\sqrt{50}=7.07=7.1

Add distances to find the perimeter:

5+8.1+7.1=20.2

2.) Part A:

You need to use the mid-point formula:

midpoint=(\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2} )

(3,2)(7,11)\\\\(\frac{3+7}{2},\frac{2+11}{2})\\\\(\frac{10}{2},\frac{13}{2})\\\\m=(  5,6.5)

Part B:

1. Use the slope-intercept formula:

y=mx+b

M as the slope, b the y-intercept.

Find the slope of the two points A and B using the slope formula:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}

Insert slope as m into equation.

Take point A as coordinates (x,y) and insert into the equation. Solve for the intercept, b:

(y)=m(x)+b

Insert the value of b into the equation.

2.  Use the mid-point coordinate. Take the slope.

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\frac{1}{2} =-\frac{2}{1}=-2\\

Insert the new slope into the slope-intercept equation as m.

Take the mid-point coordinate as (x,y) and insert into the equation with the new points. Solve for b.

Insert the value of b.

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