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denis23 [38]
3 years ago
10

Please help me thank you

Mathematics
1 answer:
VashaNatasha [74]3 years ago
4 0
The answer to the first one is 9√5

the answer to the the second is √<span><span>5</span>+7⋅</span>√<span><span>5</span>=8</span>√<span><span>5</span></span>
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2 ( x-4 ) = 5/6 ( x+6 ) -6
givi [52]
Hopes this helps:

Answer: x = 6
3 0
3 years ago
15 points!!! GEOMETRY help please!!<br> Questions attached!
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

Answer:\ \boxed{47^o}

4.
Look at the picture.

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}

We have: OP:\ y=-\dfrac{3}{2}x+b

Now, we must find the slope of the line perpendicular to the line OP.
We know:

k:y=m_1x+b;\ l:y=m_2x+c\\\\k\ \perp\ l\iff m_1m_2=-1

therefore

-\dfrac{3}{2}m_2=-1\ \ \ |\cdot\left(-\dfrac{2}{3}\right)\\\\m_2=\dfrac{2}{3}

So. We have the answer! :)

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

6 0
3 years ago
Simplify: 12xy - 6x + 3y -10xy - 5y
Darina [25.2K]

Answer:

2xy - 6x +2y

Step-by-step explanation:

12xy - 10xy = 2xy

5y - 3y = 2y

2xy - 6x + 2y

5 0
3 years ago
Read 2 more answers
HELP ME PLEASE!!!!!!!!!!!​
maks197457 [2]

Answer:

y - 7 = 5/4(x - 3)

Hope that helps

8 0
3 years ago
Read 2 more answers
(25 POINTS!!)What is the equation of the line that passes through the points (15,9) and (-2,9)?
Viktor [21]

Let's use the point-slope formula...

<em>y-y1=m(x-x1) </em>

<em>m is the slope. </em>

<em>y--9=7(x--2) </em>

<em>Subtracting a negative number is the same as adding a positive number... </em>

<em>y+9=7(x+2) </em>

<em>y+9=7x+14 </em>

<em>Let's subtract 9 from both sides... </em>

<em>-9+y+9=7x+14-9 </em>

<em>y=7x+5 </em>

<em>The formula is now in the format of... </em>

<em>y=mx+b </em>

<em>This is known as slope-intercept. </em>

<em>m is the slope. </em>

<em>b is the y-intercept, the value of y when x=0. </em>

<em>Standard formula is... </em>

<em>Ax+By=C </em>

<em>Neither A nor B equal zero. </em>

<em>A is greater than zero. </em>

<em>y=7x+5 </em>

<em>Let's move 7x to the left side of the equation.  It becomes negative. </em>

<em>-7x+y=5 </em>

<em>Let's multiply both sides by -1 to render A greater than zero. </em>

<em>-1(-7x+y)=(5)(-1) </em>

<u>7x-y=-5 </u>

<u>This is the equation in standard form.</u>

5 0
3 years ago
Read 2 more answers
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