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3 years ago

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Enter Brackets To Make The Statement 10 + 2 x 3²– 2 = 254

1 answer:

muminat3 years ago

3 0

Consider expression $(10+2\cdot 3)^2-2$ :

1) $2\cdot 3=6;$

2) $10+2\cdot 3=10+6=16;$

3) $(10+2\cdot 3)^2=16^2=256;$

4) $(10+2\cdot 3)^2-2=256-2=254.$

Answer: $(10+2\cdot 3)^2-2=254.$

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Sloan [31]

Answer:

<h2>x = 6</h2>

Step-by-step explanation:

Use Angle Bisector theorem (look at the picture).

We have the equation:

$\dfrac{3}{x}=\dfrac{x-4}{4}$ <em>cross multiply</em>

$x(x-4)=(3)(4)$ <em>use the distributive property</em>

$x^2-4x=12$ <em>subtract 12 from both sides</em>

$x^2-4x-12=0\\\\x^2+2x-6x-12=0\\\\x(x+2)-6(x+2)=0\\\\(x+2)(x-6)=0\iff x+2=0\ \vee\ x-6=0$

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$x=-2$

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3 years ago

Which answer describes the type of sequence? 200, 40, 8, 1.6, ...

GalinKa [24]

Answer:

Option 1 the given sequence is a geometric.

Step-by-step explanation:

We have been given with the series

$200,40,8,1.6$

Arithmetic sequence is the sequence in which difference between consecutive terms is same that is common difference d

$d=a_2-a_1$

$d=40-200=-160$ here $a_2=40,a_1=200$

$d=8-40=-32$ here $a_2=8,a_1=40$

We can see the difference is not same

Hence, the given sequence is not arithmetic sequence.

Geometric sequence is the sequence in which ratio of consecutive terms is same that is common ratio r

$r=\frac{a_2}{a_1}$

$r=\frac{40}{200}=\frac{1}{5}$ here $a_2=40,a_1=200$

$r=\frac{8}{40}=\frac{1}{5}$ here $a_2=8,a_1=40$

$r=\frac{1.6}{8}=\frac{1}{5}$ here $a_2=1.6,a_1=8$

We can see the ratio is same.

Hence, given sequence is geometric

Therefore, Option 1 is correct given sequence is geometric.

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3 years ago

Jada has 60% of her goal of $70 saved for her trip.

Amiraneli [1.4K]

Answer:

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3 years ago

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stack X B with rightwards arrow on top bisects ∠AXC. If m∠AXB = 2x + 10, m∠BXC = 2x + 10, and the m∠AXC = 6x – 6, find the value

Sever21 [200]

Answer:

x=13

Step-by-step explanation:

set up the equation:

AXB+BXC=AXC

(2x+10)+(2x+10)=(6x-6)

calculate for x

x=13

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2 years ago

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iragen [17]

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Step-by-step explanation:

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