Answser: the image of D will be the same drawing (D), translated to the right of the line m.
Explanation:
1) The first reflection, accross the line l, will be the letter<span> D turned (with the "belly" to the left instead of the right), located to the right of the line l and to the left of the line m.
2) The second reflection, accross the line m, will turn the letter again leting it equal to the original picture, now translated to the right on the line m.
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Answer:
x = -0.2 and x = -3.5
Step-by-step explanation:
Combine like terms in the given equation, by subtracting 2x^2 from both sides:
6x^2 + 15x + 3 = 2x^2
-2x^2 = -2x^2
----------------------------------
4x^2 + 15x + 3 = 0
This is a quadratic equation. We'll find the two solutions using the quadratic equation
-b ± √(b^2 - 4ac)
x = ---------------------------
2a
Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.
Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177
and from that we know we'll find two real, unequal roots.
-15 ± √177
The roots are: x = ------------------- , or x = -0.2 and x = -3.5
8
Answer:
0.09(60h)
Step-by-step explanation:
The part that represents the tax is 0.09.
This is because, we can rewrite the sum as;
Amount of tax + Total cost for the number of hours
Now, the amount of tax can only be a percentage of the total
We can write 0.09 as 9/100
This can be interpreted as 9% of the total amount
So therefore we can rewrite the amount as;
9% of 60h + 60h
So the part that represents the amount of tax Deborah has to pay is 0.09(60h)
Answer:
The answer is 30ft.
Step-by-step explanation:
To find the surface area of a rectangle, we use the formula L(2) + W(2) + H(2)
Our length is 7ft
Our Width 2ft
Our height is 6ft
Let's plug our numbers into our equation:
7(2) + 2(2) +6(2)
= 14 + 4 + 12
=30 ft.
