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anastassius [24]
3 years ago
7

What is the Perimeter of JKL?

Mathematics
2 answers:
Alecsey [184]3 years ago
5 0
There could be 36 units but idk if that correct answer
it but be 50 units

Lelechka [254]3 years ago
3 0
72 units

JA is equal to JB
AL is equal to CL
CK is equal to BK

11+11+12+12+13+13 = 72
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10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x
ddd [48]
Rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,

\bf \cfrac{4\sqrt{150}}{\sqrt{189x}}\cdot \cfrac{\sqrt{189x}}{\sqrt{189x}}\implies \cfrac{4\sqrt{150}\sqrt{189x}}{(\sqrt{189x})^2}\implies \cfrac{4\sqrt{(150)({189x})}}{189x}

\bf \cfrac{4\sqrt{28350x}}{189x}\qquad 
\begin{cases}
28350=2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 5\cdot 7\\
\qquad 2\cdot 3^2\cdot 3^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2)^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2\cdot 5)^2\cdot 7\\
\qquad 2\cdot (45)^2\cdot 7\\
\qquad 14\cdot 45^2
\end{cases}\implies \cfrac{4\sqrt{14\cdot 45^2}}{189x}
\\\\\\
\cfrac{4\cdot 45\sqrt{14}}{189}\implies \cfrac{180\sqrt{14}}{189x}\implies \cfrac{20\sqrt{14}}{21x}
4 0
3 years ago
Find the solution set of the following quadratic equations using the quadratic formula.
oksian1 [2.3K]

Answer:

<h3>                1)  x_1=\dfrac{7+\sqrt{13}}2\,,\quad x_2=\dfrac{7-\sqrt{13}}2</h3><h3>                2)   x_1=-\dfrac13\,,\quad x_2=-3    </h3>

Step-by-step explanation:

<h3>1)</h3>

x^2 - 7x + 9 = 0\quad\implies\quad a=1\,,\ b = -7\,,\ c=9\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot9}}{2\cdot1}=\dfrac{7\pm\sqrt{49-36}}2\\\\x_1=\dfrac{7+\sqrt{13}}2\,,\quad x_2=\dfrac{7-\sqrt{13}}2

<h3>2)</h3><h3>3x^2 + 10x=-3\\\\3x^2+10x+3=0\quad\implies\quad a=3\,,\ b =10\,,\ c=3\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-10\pm\sqrt{10^2-4\cdot3\cdot3}}{2\cdot3}= \dfrac{-10\pm\sqrt{100-36}}6\\\\x_1=\dfrac{-10+\sqrt{64}}6=\dfrac{-10+8}6=-\dfrac13\,,\qquad x_2=\dfrac{-10-8}6=-3</h3>
7 0
3 years ago
Harry invests £5000 for 3 years.
mixas84 [53]

Answer:

600

Step-by-step explanation:

Harry invests £5000 for 3 years.

He gets a simple interest of 4% per year.

Work out the total interest Harry gets.

Solution

The formula for simple interest

S.I = P*R*T/100

Where P = Principal = £5000

           R = Rate = 4%

           T = Time = 3 years

 £ 5000 * 4 * 3 /100

  50 * 4 * 3

 £ 600.

5 0
2 years ago
Which of the following equations are the correct answer
Mariulka [41]
(-6,4) and (3, 1)
slope =(4-1)/(-6-3) = -3/9 = -1/3

equations
y  - 4 = -1/3(x + 6)
y - 1 = -1/3(x - 3)


answer C and F 
C. y - 1 = -1/3(x - 3)
F. y  - 4 = -1/3(x + 6)


3 0
3 years ago
(40 points) A. the silver star trucking company needs at least 3 55 gallon barrels of brake fluid and 4 barrels of oil to operat
Vinvika [58]
Thing that I do is email the teacher and he or she will give me the answers try it yourself ok do d dnd don ffn
5 0
3 years ago
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