Answer:
<u>5/6 ÷ 7/10 = 1 4/21</u>
Step-by-step explanation:
<u>How did we solve the problem above? When we divide two fractions, such as 5/6 ÷ 7/10, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.</u>
<u>We also simplify the answers to fraction problems whenever possible. hope this helps</u>
Answer:
No, these triangles cannot lie on the same line.
Step-by-step explanation:
For two triangles to lie on the same line they must have the same slope.
The slope of the bigger triangle is

and the slope of the smaller triangle is

slopes are negative because the triangles are leaning to the left.
We see that the slopes of the two triangles are not the same; therefore, they cannot lie on the same line.
Answer:
AH
Step-by-step explanation:
From the figure we can see a cube ABCDEFGH.
In a cube thee are 4 interior diagonals
To find the diagonal of the cube
AH, BG, CF and DE
There are 4 interior diagonals.
The given options contain only one interior diagonal.
Therefore the correct answer is first option. AH
Answer:
Step-by-step explanation:
Since G(0) = g(0) = 20, the parabolic graphs of these functions share a y-intercept: (0, 20).
Completing the square puts these equations into vertex form, which simplifies comparisons of the graphs:
G(x) = 2x^2 - 12x + 20 becomes
2(x^2 - 6x + 9 - 9) + 20, or
2(x - 3)^2 - 18 + 20, or 2(x - 3)^2 + 2. Comparing this result to
a(x - h)^2 + k, we see that the vertex is located at (3, 2).
Going through the same process for g(x) 2x^2+12x+20, we get:
g(x) = 2(x + 3)^2 + 2, whose vertex is at (-3, 2).
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