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4 years ago

HELP PLEASE, I don’t understand:(!

Mathematics

1 answer:

blondinia [14]4 years ago

4 0

Does that say find M/_T. ( /_ is my way of making the angle symbol

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Find the centroid of the triangle with these vertices: P (-1,7), Q (9,5), and R (4,3).

Mumz [18]

Answer:

The coordinates of the centroid are:

$O\:=\:\left(4,\:5\right)\:\:$

The diagram is also attached below.

Step-by-step explanation:

Given the vertices

P (-1, 7)

Q (9, 5)

R (4, 3)

We know that the intersection of medians brings the centroid of the triangle.

The centroid of a triangle is given by

$O\:=\:\left(\frac{P_x+Q_x+R_x}{3},\:\frac{P_y+Q_y+R_y}{3}\:\right)$

In this example,

$P_x=-1,\:P_y=7$

$Qx=9,\:Q_y=5$

$Rx=4,\:R_y=3$

substituting in the formula

$O\:=\:\left(\frac{-1+9+4}{3},\:\frac{7+5+3}{3}\:\right)\:\:$

$O\:=\:\left(\frac{12}{3},\:\frac{15}{3}\:\right)\:\:$

$O\:=\:\left(4,\:5\right)\:\:$

Therefore, the coordinates of the centroid are:

$O\:=\:\left(4,\:5\right)\:\:$

The diagram is also attached below.

6 0

3 years ago

Question is 15 points

Lera25 [3.4K]

Cosine of angle A is also x

This is because the sine is opposite over hypotenuse and cosine is adjacent over hypotenuse so both sine and cosine in this example are asking for the same side over the hypotenuse which means cosine of angle A will be the same as sine of angle B

I believe this is correct but I may be wrong, let me know what it ends up being!

8 0

3 years ago

Which side of angle measures could be the interior angles of a triangle?

jok3333 [9.3K]

The sum of all the angles of a triangle is 180 degrees.

If you add 90 + 90 + 90 together you get 270. These can not be the angle measures of interior angles of a triangle because the sum is more then 180.

If you add 80 + 80 + 200 together you get 360. These can not be the angle measures of interior angles of a triangle because the sum is more then 180.

If you add 40 + 50 + 60 together you get 150. These can not be the angle measures of interior angles of a triangle because the sum is less then 180.

If you add 15 +30 + 135 together you get 180! This set of angle measures can the be interior angles of a triangle!

Hope this helped!

~Just a girl in love with Shawn Mendes

6 0

3 years ago

Pls help I have homework and it’s for a graded

mote1985 [20]

Answer:

1.) 3

2.) 15

3.) 12

4.) 12

5.) 5

6.) 6

7.) 7

3 0

3 years ago

What is the solution of x^2+x-6/x-7<0 PLEASE HELP ME :( (it’s not the 2nd one i already tried it)

blsea [12.9K]

Answer:

the first one $\:x\le \:-3\quad \mathrm{or}\quad \:2\le \:x$

Step-by-step explanation:

Factor $x^2+x-6$ :

Break the expression into groups

$\left(x^2-2x\right)+\left(3x-6\right)$

$\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2-2x\mathrm{:\quad}$

$x\left(x-2\right)$

$\mathrm{Factor\:out\:}3\mathrm{\:from\:}3x-6\mathrm{:\quad}$

$3\left(x-2\right)$

$x\left(x-2\right)+3\left(x-2\right)$

$\mathrm{Factor\:out\:common\:term\:}x-2$

$\left(x-2\right)\left(x+3\right)$

$\frac{\left(x-2\right)\left(x+3\right)}{x-7}\\$

$\frac{\left(x-2\right)\left(x+3\right)}{x-7}\le \:0$

$\mathrm{Find\:the\:signs\:of\:the\:factors\:of\:}\frac{\left(x-2\right)\left(x+3\right)}{x-7}$

$\mathrm{Identify\:the\:intervals\:that\:satisfy\:the\:required\:condition:}\:\le \:\:0$

$x$

Merge Overlapping Intervals

$x\le \:-3\quad \mathrm{or}\quad \:2\le \:x$

6 0

3 years ago