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svetoff [14.1K]
3 years ago
11

Write the equation of a line passing through the points (5,-5) and (-5,-5)?

Mathematics
1 answer:
zmey [24]3 years ago
7 0

Answer:

y-(-5)/x-(-5)=0

so y=5 is the eqt.

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The diagram shows the number of children who have ever used motorized scooters, manual scooters, and/or bicycles. Which combinat
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D because those options do not intersect and are part of the universal set
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3 years ago
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5(r-10)=-51 what is the value of r
raketka [301]
Use distributive method
5r - 50 = -51
Add 50
5r = -1
Divide by 5
r = -1/5
3 0
3 years ago
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Derive the equation of the parabola with a focus at (3,1) and a directrix of y = 5
serg [7]
So hmmm  check the picture below

so... the vertex is "p" distance from the focus and the directrix, thus, the vertex is really half-way between both

in this case, 2 units up from the focus or 2 units down from the directrix, and thus it lands at 3,3

now, the "p" distance is 2, however, the directrix is up, the focus point is below it, the parabola opens towards the focus point, thus, the parabola is opening downwards, and the squared variable is the "x"

because the parabola opens downwards, "p" is negative, and thus, -2

now, let's plug all those fellows in then

\bf \begin{array}{llll}
(x-{{ h}})^2=4{{ p}}(y-{{ k}})\\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-----------------------------\\\\

\begin{cases}
h=3\\
k=3\\
p=-2
\end{cases}\implies (x-3)^2=4(-2)(y-3)\implies (x-3)^2=-8(y-3)
\\\\\\
-\cfrac{(x-3)^2}{8}=y-3\implies \boxed{-\cfrac{1}{8}(x-3)^2+3=y}

5 0
3 years ago
The area of the regular pentagon is 6.9 cm2. What is the perimeter? 2 cm 5 cm 10 cm 20 cm
disa [49]

Given

Area of the regular pentagon is 6.9 cm².

Find out the perimeter of a regular pentagon

To proof

Formula

Area of regular pentagon is

= \frac{1}{4}\sqrt{5(5+2\sqrt{5})}\ a^{2}

As given in the question

area of regular pentagon = 6.9 cm²

now equating the area value with the area formula.

6.9 =\frac{1}{4}\sqrt{5(5+2\sqrt{5})} a^{2}

Now put

√5 = 2.24 ( approx)

put in the above equation

\frac{6.9\times 4}{\sqrt{5(5+2\times2.24)}}=a^{2}\\\frac{27.6}{\sqrt{47.4}}=a^{2}\\\frac{27.6}{6.88}=a^{2}

thus

a² = 4.01

a = √ 4.01

a = 2.0 cm ( approx)

As perimeter  represented the sum of all sides.

i.e regular pentagon have five sides of equal length.

Thus

perimeter of the regular pentagon = 5 × side length

                                                         = 5 ×2.00

therefore the perimeter of the regular pentagon = 10cm

option c is correct

Hence proved









3 0
3 years ago
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Given that P = (-5, 11) and Q = (-6, 4), find the component form and magnitude of vector QP.
neonofarm [45]
Vector QP= (-5+6, 11-4) = (1, 7)
its magnitude is QP= sqrt( 1 + 49)= sqrt (50)=5sqrt2
7 0
3 years ago
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