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Usimov [2.4K]
4 years ago
8

What is the lowest term of 27/45​

Mathematics
1 answer:
Jet001 [13]4 years ago
6 0

Answer:

3/5

Step-by-step explanation:

\frac{27}{45}  =  \frac{27 \div 9}{45 \div 9}  =  \frac{3}{5}  \\

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Find the value of k , if one of the two roots of the equation : x2 + k X – 98 = 0 is double
jenyasd209 [6]

Given:

x^2+kx-98=0

One of the two roots of the given equation is double  the additive inverse of the other.

To find:

The value of k.

Solution:

Let two roots of the given equation are \alpha and \beta.

According to the question,

\beta=2(-\alpha)        (Additive inverse of \alpha is -\alpha)

\beta=-2\alpha

If \alpha and \beta are roots of the quadratic equation ax^2+bx+c=0, then

\alpha+\beta=-\dfrac{b}{a}

\alpha\beta=\dfrac{c}{a}

We have,

x^2+kx-98=0

Here, a =1, b=k and c=-98.

\alpha+\beta=-\dfrac{k}{1}

\alpha-2\alpha=-k           [\because \beta=-2\alpha]

-\alpha=-k

\alpha=k           ...(i)

Now,

\alpha\beta=\dfrac{c}{a}

\alpha(-2\alpha)=\dfrac{-98}{1}          [\because \beta=-2\alpha]

-2\alpha^2=-98

Divide both sides by -2.

\alpha^2=49

Taking square root on both sides.

\alpha=\pm \sqrt{49}

\alpha=\pm 7

Using (i), we get

k=\pm 7

Therefore, the value of k is either -1 or 1.

6 0
3 years ago
Alice has $18 more than Patricia. Together they have $122. How much does each person have ?
Inga [223]
Alice has $70 and Patricia has $52
7 0
3 years ago
Explain and demonstate how to turn 4/20 into a percent
dybincka [34]
4/20=x/100  20 times 5 equal 100 so 5 times 4 equals 20 so the answer is 20%
4 0
4 years ago
Read 2 more answers
Solve the inequality.<br><br>2(4+2x)&gt;5х+5<br> x&lt;-2<br> x&gt;-2<br>х&lt;3<br>x&gt;3​
olga_2 [115]

Answer:

x<3

Step-by-step explanation:

4 0
3 years ago
7 x (-3) x (-12)^2=? A. -84 B. -48 C. 84 D. 48
Andre45 [30]

━━━━━━━☆☆━━━━━━━

▹ Answer

B. -48

▹ Step-by-Step Explanation

Distribute each number to factor so you can solve

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

6 0
4 years ago
Read 2 more answers
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