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Lunna [17]
2 years ago
11

Plz help Find ‘x’ & ‘y’

Mathematics
1 answer:
just olya [345]2 years ago
3 0

Answer:

x=20. y=15

Step-by-step explanation:

in similar triangles the sides are all in proportion. this means:

\frac{25}{5}  =  \frac{x}{4}  =  \frac{y}{3}

\frac{25}{5}  = 5

so:

\frac{x}{4}  = 5

x=5×4

x=20

and...

\frac{y}{3}  = 5

y=3×5

y=15

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Applying properties of Exponents in exercise,use the properties of exponents to simplify the expression.See example 1.
evablogger [386]

Answer: a) 15625, b) 0.2, c) 625, d) 0.008.

Step-by-step explanation:

Since we have given that

a) (5^2)(5^3)

As we know that

a^m\times a^n=a^{m+n}

So, it becomes,

5^2\times 5^3=5^{2+3}=5^6=15625

(b) (5^2)(5^{-3})

So, it becomes,

5^2\times 5^{-3}=5^{2-3}=5^{-1}=\dfrac{1}{5}=0.2

(c) (5^2)^2

As we know that

(a^m)^n=a^{mn}

So, it becomes,

5^{2\times 2}=5^4=625

(d) 5^{-3}

a^{-m}=\dfrac{1}{a^m}\\\\5^{-3}=\dfrac{1}{5^3}=\dfrac{1}{125}=0.008

Hence, a) 15625, b) 0.2, c) 625, d) 0.008.

4 0
3 years ago
Please help!!!!! Thank you
marin [14]
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7 0
2 years ago
Solve for x. Round your answer to the nearest hundredth.
Zarrin [17]

Answer:

Option B is correct

Step-by-step explanation:

2x² - 6x + 3 = 0

Using Quadratic formula:

x = \frac{-b+-\sqrt{b^{2}-4ac}}{2a}

a = 2, b = -6, c = 3

x = \frac-(-6)+-{\sqrt{(-6)^{2}-4(2)(3)}}{2(2)}

x = \frac{-(-6)+-\sqrt{(-6)^{2}-4(2)(3)}}{2(2)}\\

=\frac{6+-\sqrt{36-24}}{4}\\\\=\frac{6+-\sqrt{12}}{4}\\\\=\frac{6+-3.46}{4}\\\\

=\frac{6+3.46}{4}

x = 2.37  


=\frac{6-3.46}{4}

 x = 0.63      

   


5 0
3 years ago
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BlackZzzverrR [31]

Answer:

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Step-by-step explanation:

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So 16 multipled by 25 would give you 400
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