Answer:
the vertex is at (2, 8) and the axis of symmetry is x = 2
Step-by-step explanation:
In h(x)=−2x2+8x please use the symbol " ^ " to indicate exponentiation:
h(x)=−2x^2+8x
This is a quadratic equation with coefficients a = -2, b = 8 and c = 0.
The axis of symmetry equation is x = -b/ (2a).
-8
Here, with a = -2 and b = 8, the axis of symmetry is x = --------- = 2
2(-2)
To find the y-coordinate of the vertex, substitute 2 for x in h(x)=−2x^2+8x, obtaining
h(2) = -2(2)^2 + 8(2) = -2(4) + 16 = 8
In summary, the vertex is at (2, 8) and the axis of symmetry is x = 2.
Answer:
Step-by-step explanation:
<u>Given:</u>
2/20 : 1/40
A). First re-write the ratio as follows;
(i) Change the ratio sign to division (÷). i.e
2/20 ÷ 1/40
(ii) Solve the expression by changing the division to multiplication(×). This also means you will need to swap the numerator and the denominator of the second term. i.e (1 / 40) becomes (40 / 1)
(2/20) × (40 / 1) = 
× 
=
B). Now convert the result from above to unit rate. A unit rate is a rate in which the denominator has a value of 1.
So to convert to unit rate, we keep simplifying until the denominator becomes 1.
And since the denominator is already 1, there is no need for further simplification.
Therefore, 2/20 : 1/40 to unit rate is
Answer:
A. The lines stay parallel
Step-by-step explanation:
Rigid transformations do not change angle or line relationships. When the parallel lines are rotated they stay parallel. Reflecting them will keep them parallel. If this were not true, then figured with parallel lines like rectangles and squares would change shape when reflected.
Answer:
Step 1
Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.
So, we multiply 1 by 2, and get 2, then we multiply 7 by 2 and get 14.
1/7 times 2
Now for the second term. You multiply 1 by 7, and get 7, then multiply 7 by 2 and get 14.
1/2 times 7
We now have a new problem, that looks like this:
2/14 + 7/14
Step 2
Since our denominators match, we can add the numerators.
2 + 7 = 9
Answer:
9/14
Step-by-step explanation:
