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dexar [7]
2 years ago
9

Question

Mathematics
1 answer:
natulia [17]2 years ago
3 0

Answer:

m^2+5m+25/4

perfect square trinomial^^

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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.

If you need to find the perpendicular bisector, you will take the negative reciprocal of the slope. Switch the sign and flip it. Ex:

\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.

4 0
4 years ago
Sam is moving bags of soil from a loading dock into a storeroom. The top soil weighs 40 pounds per bag and the mulch weighs 20 p
Levart [38]

Answer:

40x+20y\leq 480

Step-by-step explanation:

Givens

  • The top soil weighs 40 pounds per bag.
  • The mulch weighs 20 pounds per bag.
  • The cart can only carry up to 480 pounds.

Notice that the restriction is a maximum of 480 pounds, that means the inequality must include the sign \leq.

Now, let's call x the top soil and y the mulch, the inequality that represents this problem, would be

40x+20y\leq 480

3 0
3 years ago
Read 2 more answers
5. f(x) = 3x³ - 4x² +6x and g(x)=5x ³+ 2x²- 3x. What is f(x) - g(x)?
sasho [114]

Answer:

<h2>A. -2x³ - 6x² + 9x</h2>

Step-by-step explanation:

f(x)=3x^3-4x^2+6x\\\\g(x)=5x^3+2x^2-3x\\\\f(x)-g(x)=(3x^3-4x^2+6x)-(5x^3+2x^2-3x)\\\\=3x^3-4x^2+6x-5x^3-2x^2-(-3x)\qquad\text{combine like terms}\\\\=(3x^3-5x^3)+(-4x^2-2x^2)+(6x+3x)\\\\=-2x^3-6x^2+9x

8 0
3 years ago
1) Use the number line to help you answer this question.
masya89 [10]

Answer:

Step-by-step explanation:

Download pdf
4 0
2 years ago
Read 2 more answers
What inequalities are shown by this graph?​
kramer

Answer:

the answer is going to be

x>27

8 0
3 years ago
Read 2 more answers
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