Irfan must walk a distance of <u>25</u> blocks <u>east</u> to return to his apartment building.
<h3>What is a compass?</h3>
A compass can be defined as a scientific instrument that contains a magnetized pointer, which is used to show and indicate the following four (4) main cardinal directions:
<h3>What is distance?</h3>
Distance can be defined as the amount of ground covered (traveled) by a physical object over a specific period of time and speed, regardless of its direction, starting point or ending point.
Next, we would calculate the total distance covered (traveled) by Irfan as follows:
Total distance = 20 + 5
Total distance = 25 blocks.
Since Irfan walked a total distance of 25 blocks west, he would have to walk the same distance in the opposite direction (east) to return to his apartment building.
Read more on total distance here: brainly.com/question/19460590
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Answer:
1.
centre(h,k)=(-13,9)
radius (r)=6
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x+13)²+(y-9)²=6²
x²+26x+169+y²-18y+81=36
x²+y²+26x-18y+169+81-36=0
x²+y²+26x-18y +214=0
is a required equation of the circle.
2.
centre(h,k)=(1,-1)
radius (r)=11
we have
equation of the circle is
(x-h)²+(y-k)²=r²
(x-1)²+(y+1)²=11²
x²-2x+1+y²+2y+1=121
x²+y²-2x+2y=121-2
x²+y²-2x+2y=119
is a required equation of the circle.
Triangles ABC and ADE are similar triangles. That means the sides are all scaled by the same factor.
To go from side BC to side DE, you multiply by 1.25. That means 1.25 is your scale factor. Now apply that factor to the bottom side to get your answer.
Side AB is 6. That means side AD is 6 x 1.25 = 7.5. That means x = 7.5 - 6 = 1.5
Answer:
-8
Step-by-step explanation:
-4 (1)^2 -(1) -3
-4-1-3=-8