Hi only 1 and explain please thanks

Mathematics

1 answer:

iragen [17]3 years ago

7 0

You has to make the botom number the same

to change the bottom number and maintain the same value of the fraction you has to multiply by 1 or x/x wher x=x

so
bottom numbers are 7 and 3
make them 21 by mutliply 5/7 by 3/3 and multiply -1/3 by 7/7

5/7 times 3/3=15/21
-1/3 times 7/7=-7/21
now we can do
15/21-7/21=(15-7)/21=8/21
answer is 8/21

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dolphi86 [110]

3. Look at the picture.

We have the right angle triangle. We know the sum of measures of angles in triangle is equal 180°. Therefore:

$x^o+90^o+43^o=180^o\\\\x^o+133^o=180^o\ \ \ |-133^o\\\\x^o=47^o$

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4.
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Use Pythagorean theorem:

$x^2+14^2=(10+x)^2\\\\x^2+196=10^2+2\cdot10\cdot x+x^2\ \ \ \ |-x^2\\\\196=100+20x\ \ \ |-100\\\\20x=96\ \ \ |:20\\\\x=4.8$

$Used:\ (a+b)^2=a^2+2ab+b^2$

$Answer:\ \boxed{4.8\ units}$

5.
TRUE: 1; 2; 4

6.
We find a slope of the line OP:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\O(2;\ 6)\to x_1=2;\ y_1=6\\\\P(4;\ 3)\to x_2=4;\ y_2=3\\\\m=\dfrac{3-6}{4-2}=\dfrac{-3}{2}$

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Now, we must find the slope of the line perpendicular to the line OP.
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therefore

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So. We have the answer! :)

$Answer:\ \boxed{y=\dfrac{2}{3}x+\dfrac{1}{3}}$