Answer: 14
Step-by-step explanation:
Okay so it asks in all, which means morning distance + afternoon distance
We got the afternoon distance so now we have to find the morning one
it says the afternoon distance (6), is 25% less than the morning distance.
Which means the afternoon distance is 0.75 of the morning distance.
so 0.75x = 6, x = 6/0.75 = 8
Then you add 8 to 6 to get 14
Answer:
hope this helps u!
Step-by-step explanation:
Answer:
Step-by-step explanation:
Solve for
y
y
.
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y
=
−
9
+
3
x
y
=
-
9
+
3
x
Rewrite in slope-intercept form.
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y
=
3
x
−
9
y
=
3
x
-
9
Use the slope-intercept form to find the slope and y-intercept.
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Slope:
3
3
y-intercept:
−
9
-
9
Any line can be graphed using two points. Select two
x
x
values, and plug them into the equation to find the corresponding
y
y
values.
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x
y
2
−
3
3
0
x y 2 -3 3 0
Graph the line using the slope and the y-intercept, or the points.
Slope:
3
3
y-intercept:
−
9
-
9
x
y
2
−
3
3
0
x y 2 -3 3 0
image of graph
Answer:
1350 mm²
Step-by-step explanation:
The area of each square face is the square of the edge length:
... face area = (15 mm)² = 225 mm²
There are 6 square faces on a cube, to the total surface area is 6 times that of one face:
... cube area = 6 × face area = 6×225 mm² = 1350 mm²
Answer: 2xy
Step-by-step explanation: We know that x%5E2+%2B+y%5E2 must be the longest side of the triangle (it cannot be 2xy, I will demonstrate why afterwards). By the Pythagorean theorem,
. Therefore this is a right triangle.
The only "assumption" we had to make was that x%5E2+%2B+y%5E2+%3E+2xy, but this is easy to prove. By the AM-GM inequality, %28x%5E2+%2B+y%5E2%29%2F2+%3E=+sqrt%28x%5E2y%5E2%29+=+xy. Multiplying both sides by 2, x%5E2+%2B+y%5E2+%3E=+2xy. Equality occurs only when x+=+y, but this cannot be true, so x%5E2+%2B+y%5E2 is strictly greater than 2xy.