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3 years ago

PLS HELP

Mathematics

1 answer:

Sloan [31]3 years ago

5 0

Answer:

8√5 units.

Step-by-step explanation:

See the diagram in the coordinate plane attached.

A rhombus has four equal sides and to find the perimeter of the rhombus we have to measure any of the sides of the figure of the rhombus.

The coordinates of the topmost point are (-1,-1) and that of the rightmost point are (3,-3).

Therefore, side length of the rhombus will be

$\sqrt{(- 1 - 3)^{2} + (- 1 - (- 3))^{2}} = \sqrt{20} = 2\sqrt{5}$ units.

So, the perimeter of the rhombus will be (4 × 2√5) units = 8√5 units. (Answer)

The distance between two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ on a coordinate plane is given by

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

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2 years ago

Is X=10 a solution to the following equation? Show work to justify your answer.

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3 years ago

Plz help quick How do you do this problem

astraxan [27]

Answer: $\frac{pr}{675}$

Step-by-step explanation:

cant have a negative exponent
$\frac{1}{(3p^{-1} r)^3(5pr^{-2} )^2} \\$
split up (3p^-1 r)^3
rewrite that part of the equation
$\frac{1}{(\frac{3}{p} )^{3} r^{3} }$
raise 3 to the power of 3 = 27
p to the power of 3 = $p^{3}$
Next part of the equation
$(5p)^{2}$
expand that
$5^{2} p^{2}$
simplfy
$25p^{2}$
Next part of the equation
$(r^{-2})^{2}$
multiply the exponents
$r^{-4}$
rewrite the equation
$\frac{1}{\frac{27}{p^{3} }r^{3} (25p^{2})\frac{1}{r^{4} } }$
combine $\frac{27}{p^{3} } , and , r^{3}$ = $\frac{27r^{3} }{p^{3} }$
combine 25 and $\frac{27r^{3} }{p^{3} }$
Multiply
$\frac{675r^{3} }{p^{3} }$
combine $\frac{675r^{3} }{p^{3} }$ and $p^{2}$
$\frac{675r^{3}p^{2} }{p^{3} }$
multiply $\frac{675r^{3}p^{2} }{p^{3} }$ and $\frac{1}{r^{4} }$
$\frac{1}{\frac{675r^{3}p^{2} }{p^{3}r^{4} }}$
cancel the common factors and factor everything out
$r^{3}$ comes out of ${675r^{3}p^{2} }$
$r^{3}$ can also come out of $p^{3} r^{4}$
Rewrite as $\frac{1}{\frac{675p^{2} }{p^{3} r} }$
cancel the common factor of $p^{2}$ and $p^{3}$
factor $p^{2}$ out of $675p^{2}$ by mulitiplying
factor $p^{2}$ out of ${p^{3} r} }$
cancel the common factor
rewrite the expression
$\frac{1}{\frac{675}{pr} }$
and then multiply the numerator and denominator
and you get the answer

7 0

2 years ago