Answer:

Step-by-step explanation:
The location of a point O(x, y) which divides line segment AB in the ratio a:b with point A at (
) and B(
) is given by the formula:

From the graph, the location of the point is P(2, 5), R(1, -7). Let point Q be (x, y) which divides PR in ratio 2:1. Coordinates of point Q is at:

Point Q is at 
Answer:
using pythagoras theorem
a^2+b^2=c^2
8^2+x^2=(x+2)^2
64+x^2=x^2+2*x*2+2^2
64+x^2=x^2+4x+4(here x^2 of left hand side and x^2 of right hand side gets cancel)
64=4x+4
64-4=4x
60/4=x
15=x
Step-by-step explanation:
Answer:
I only see one true equation. Please check the statements.
Step-by-step explanation:
О 0+451=0← for A <u><em>FALSE</em></u>
О 130+210=210+130← for B <u><em>FALSE</em></u>
О (123+57)+180=180+(87+180)←for C <u><em>FALSE</em></u>
√ for= 497+0=497←for D <u><em>TRUE</em></u>
Answer:

Step-by-step explanation:
<h2>
<em><u>First</u></em><em><u> </u></em><em><u>case</u></em><em><u>:</u></em></h2>
Sides of a square = 3 cm
Therefore, area of the square = <em>side × side</em>
= 3cm × 3cm

<h2>
<em><u>Second</u></em><em><u> </u></em><em><u>c</u></em><em><u>ase</u></em><em><u>:</u></em></h2>
Radius of the circle = 4cm
Therefore, area of the circle



<h2><em><u>Last</u></em><em><u> </u></em><em><u>case</u></em><em><u>:</u></em></h2>
Area of the shaded region
= <em>Area</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>circle</em><em> </em><em>-</em><em> </em><em>Area</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>square</em><em> </em>


Answer:
QR = 54 cm
SR = 27 cm
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