5 cm = 2km
Scale= 5 cm : 200000 cm
= 1 : 40000
a. 1 : 40000 = x : 500000
x = 12.5 cm
b.1 : 40000 = 2 : x
x = 80000 cm
x = 0.8 km
Y = x^2 - 6x + 7
a = 1
b = -6
c = 7
Before you get the A.O.S, you must first solve for the vertex.
The vertex formula is \frac{-b}{2a}
Plug in the numbers:
-(-6) / 2(1)
--6 = 6 and 2*1 = 2
6/2
Vertex (or x) = 3
Now you have to plug in the x in order to find the vertex (or y)
Your equation should now look like this;
y = (3)^2 - 6 (3) +7
Solve each part separately and then add it up...
3^2 = 9
-6 * 3 = -18
+7
9 - 18 + 7
A.O.S (or y) = -2
The length of the segment x is 16.2
Step-by-step explanation:
Here apply the Pythagorean relationship which states that the sum of squares of the sides is equal to the square of the hypotenuse.
Mathematically,
a²+b²=c²
where a=15, b=6, c=r
Hence;
15²+6²=c²
225+36=c²
√261=c
16.16
x⇒16.2
Learn More
Pythagorean relationship: brainly.com/question/11967357
Keyword: length, segment, nearest tenth
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Y =-6/5x+7/5 Please vote me as brainliest if you think i helped and i attached a photo with work as well :) Have a great day
I believe it is the communtive property
