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grandymaker [24]
3 years ago
10

Which segment is congruent to segment GJ

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
7 0
 <span>well congruent means they must be equal so since from point G to point J is -3 spaces you would just need to find another segment that is also -3 spaces, JM. For the second question i think you mean find the midpoint between NH, and if so you would need to figure out 0 - 6, which gives you -3 which is located at point K. Hope this is the right one.</span>
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Solve 5x^2 - 7x + 2 = 0 by completing the square.
Reika [66]

Answer:  The correct option is (c) \dfrac{49}{100}.

Step-by-step explanation:  We are given to solve the following quadratic equation by the method of completing the square:

5x^2-7x+2=0~~~~~~~~~~~~~~~~~~~(i)

Also, we are to find the constant added on both sides to form the perfect square trinomial.

We have from equation (i) that

5x^2-7x+2=0\\\\\Rightarrow x^2-\dfrac{7}{5}x+\dfrac{2}{5}=0\\\\\\\Rightarrow x^2-2\times x\times \dfrac{7}{10}+\left(\dfrac{7}{10}\right)^2+\dfrac{2}{5}=\left(\dfrac{7}{10}\right)^2\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{49}{100}-\dfrac{2}{5}\\\\\\\Rightarrow  \left(x-\dfrac{7}{10}\right)^2=\dfrac{49-40}{100}\\\\\\\Rightarrow  \left(x-\dfrac{7}{10}\right)^2=\dfrac{9}{100}\\\\\\\Rightarrow x-\dfrac{7}{10}=\pm\dfrac{3}{10}\\\\\\\Rightarrow x=\pm\dfrac{3}{10}+\dfrac{7}{10}.

So,

x=\dfrac{3}{10}+\dfrac{7}{10},~~~~~~~~x=-\dfrac{3}{10}+\dfrac{7}{10}\\\\\\\Rightarrow x=\dfrac{10}{10},~~~~~~~~\Rightarrow x=\dfrac{-3+7}{10}\\\\\\\Rightarrow x=1,~-\dfrac{2}{5}.

Thus, the required solution is x=1,~-\dfrac{2}{5}. and the value of the constant added is \dfrac{49}{100}.

Option (c) is correct.

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3 years ago
What is the solution to m/17 Less than or equal to 14?
vredina [299]

Answer:

B

Step-by-step explanation:

CAN I GET BRAINLIEST PLSS

6 0
3 years ago
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What is the slope of the linear table below?
Drupady [299]

Answer:

A. 2/3

Step-by-step explanation:

Plot the points, so you visualize rise/run.

When you start at the point (-3,8) it rises 2 then moves 3 to the right to get to the point (0,10). Then it rises 2 and moves 3 to the right to the point (3,12).

8 0
3 years ago
Which of the following are solutions to the equation below?
barxatty [35]

Answer:

x = 3 ± sqrt(11)

Step-by-step explanation:

x^2 - 6x + 9 = 11

Recognizing  that this is a perfect square trinomial

(x-3) ^2 =11

Taking the square root of each side

sqrt((x-3) ^2) = ± sqrt(11)

x-3 =± sqrt(11)

Add 3 to each side

x = 3 ± sqrt(11)

5 0
3 years ago
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(Number 5)help plzzz
EleoNora [17]

Answer:

See below.

Step-by-step explanation:

So we want to prove that:

\sqrt8+\sqrt2=3\cdot 2^{\frac{1}{2}}

First, simplify √8. This is the same as:

\sqrt8=\sqrt{4\cdot 2}=\sqrt4\cdot\sqrt2=2\sqrt2

Therefore, our equation is now:

2\sqrt2+\sqrt2=3\cdot2^{\frac{1}{2}}

Combine like terms on the left:

3\sqrt2=3\cdot 2^\frac{1}{2}}

The square root of something is the same as taking that number to the one-half power. Thus:

3(2)^\frac{1}{2}}=3\cdot 2^\frac{1}{2}}

Rewrite:

3\cdot2^\frac{1}{2}}\stackrel{\checkmark}{=}3\cdot2^\frac{1}{2}}

And we're done!

6 0
3 years ago
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