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2 years ago

PLEASE HELP, I WILL MARK BRANLIEST AND THANKS!!!

Mathematics

1 answer:

Sergeeva-Olga [200]2 years ago

4 0

Step-by-step explanation:

hope it helps you

i think your question was this only

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

Novay_Z [31]

Answer: $3+\sqrt{2}$

Step-by-step explanation:

Given the following expression shown in the picture:

$\frac{7}{3-\sqrt{2} }$

You need to use a process called "Ratinalization".

By definition, using Rationalization you can rewrite the expression in its simplest form so there is not Radicals in its denominator.

Then, in order to simplify the expression, you can follow the following steps:

Step 1. You need to multiply the numerator and the denominator of the fraction by $3+\sqrt{2}$ , which is the conjugate of the denominator $3-\sqrt{2}$ .

Step 2. Then you must apply the Distributive property in the numerator.

Step 3. You must apply the following property in the denominator: $(a+b)(a-b) = a^2 - b^2$

Therefore, applying the procedure shown above, you get:

$=\frac{(7)(3+\sqrt{2})}{(3-\sqrt{2})(3+\sqrt{2})}=\frac{21+7\sqrt{2}}{3^2-(\sqrt{2})^2}=\frac{21+7\sqrt{2}}{9-2}=\frac{21+7\sqrt{2}}{7}$

Step 4. You can observe that the expression can be simplified even more. Since:

$\frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}$

You get:

$\frac{21+7\sqrt{2}}{7}=\frac{21}{7}+\frac{7\sqrt{2}}{7}=3+\sqrt{2}$

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2 years ago

The equation of a line is y = 1.5x − 2. What are its slope and y-intercept?

andre [41]

This equation is written in slope intercept form, y=mx+b, with m being the slope and b being the y-intercept.

The slope of the line is 1.5 and the y-intercept is -2. The answer is A.

I hope this helps ;)

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2 years ago

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A recent survey found that 3 out of every 7 people like birds. If 3500 people were surveyed, how many like birds?

photoshop1234 [79]

1500 hopefully that helps

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2 years ago

Morgan had $1,679 in her savings account. After one year, her balance increases by 2%. How

bogdanovich [222]

Step-by-step explanation:

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2 years ago

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Find the measures of the numbered angles in the kite.

Dafna11 [192]

Answer:

1 is 90

2 is 52

Step-by-step explanation:

1 is a right angle so its 90

for 2 angles in a triangle equal to 180

so 180-90-38 is equal to 52

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2 years ago