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Hitman42 [59]
10 months ago
6

Determine the most specific name for quadrilateral JKLM if the coordinates of the vertices are:J(-4,6), K(-1,2), L(1,6), M(4,2)J

L ll KM PROOF:J.5JL is parallel to X-axis.bothvertices have y-coordinate at y = 6.KM Parallel to x axis, bothvertices have y-coordinate aty=2.43KM M1Determine Stopes of JK & LM(If slopes ave ithen sides arparallel):4517-42-8-3-10JK: 31-4,6) K(+1,2)x2 Y2xiyo2-6-4

Mathematics
1 answer:
Arturiano [62]10 months ago
5 0

To finish the demonstration that the quadrilateral JKLM is a rhombus we need to prove that side JK is congruent with side LM.

The length of a segment with endpoints (x1, y1) and (x2, y2) is calculated as follows:

\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}

Substituting with points L(1,6) and M(4,2) we get:

\begin{gathered} LM=\sqrt[]{(4-1)^2+(2-6)^2} \\ LM=\sqrt[]{3^2+(-4)^2} \\ LM=\sqrt[]{9+16^{}} \\ LM=5 \end{gathered}

Given that opposite sides are parallel, all sides have the same length, and, from the diagram, the quadrilateral is not a square, we conclude that it is a rhombus.

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If a^(b/4) = 16 for positive integers a and b, what is one possible value of b?.
Verizon [17]

Answer:

Step-by-step explanation:

a^{(\dfrac{b}{4})} = 16\\\\\\Both \ sides \ raise \ to \ 4\\\\(a^{\dfrac{b}{4}})^{4} = 16^{4}\\\\a^{\dfrac{b}{4}*4}=16^{4}\\\\a^{b}=16^{4}

b = 4

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2 years ago
Norma Ann planned a rectangular courtyard, as shown in the scale drawing below. A rectangle with length of 15 inches and width o
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the change in the scale factor is  \frac{45}{40} .Correct option C) StartFraction 45 feet over 40 feet EndFraction

<u>Step-by-step explanation:</u>

Here we have , Norma Ann planned a rectangular courtyard, as shown in the scale drawing below. A rectangle with length of 15 inches and width of 5 inches. She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. We need to find Which expression finds the change in the scale factor . Let's find out:

Initially the ratio of width to actual width is :

⇒ \frac{5}{45}

Now , After 45 ft is changed to 40 ft , New ratio becomes :

⇒ \frac{5}{40}

So , change in scale factor is from  \frac{5}{45} to  \frac{5}{40} i.e.

⇒ \frac{\frac{5}{40} }{\frac{5}{45} }

⇒ \frac{5}{40}(\frac{45}{5} )

⇒ \frac{45}{40}

Therefore , the change in the scale factor is  \frac{45}{40} .Correct option C) StartFraction 45 feet over 40 feet EndFraction

8 0
3 years ago
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The functions fand g are defined as follows:
LuckyWell [14K]

Step-by-step explanation:

Given

f(x) = -5x - 1

and

g(x) = 2x + 2

Now

f(3) = - 5 * 3 - 1

= -15 -1

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Also

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Answer:

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Step-by-step explanation:

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13.1: Equivalent Expressions
scoundrel [369]

Distributive Property:  a ( b + c) = (a*b) + (a*c)

b)   x(x + 9) =  x*x + 9*x

               = x² + 9x    

c)  x² - 18x

     x² = x * x

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G C F = x

Greatest common factor in both the terms is 'x'.Take the common variable from both the terms.

x² - 18x = x*x - 18*x

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Standard form.                Factored form

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