9514 1404 393
Answer:
A'(-3, 13)
Step-by-step explanation:
The transformation that moves a point 4 left and 8 up is ...
(x, y) ⇒ (x -4, y +8)
The transformation that reflects a point across the y-axis is ...
(x, y) ⇒ (-x, y)
Applied after the translation, the transformation of ∆ABC becomes ...
(x, y) ⇒ (-(x -4), y +8) = (4 -x, y +8)
Then point A gets moved to ...
A(7, 5) ⇒ A'(4 -7, 5 +8) = A'(-3, 13)
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In the attached graph, the purple triangle is the result of the translation 4 left and up 8. Then the blue one is after reflection across the y-axis.
Answer:
$ 2155.62
Step-by-step explanation:
regular pay rate = 11.10
overtime pay rate = 1.8 * 11.10
142 * $11.10 + 29 * ( 1.8 * $ 11.10) = $ 2155.62
We just use the techniques in algebra. Isolate the terms that are not x on the right side, while only the x variable on the left side. To do this, divide both sides by b. The b on the left side would then cancel out. As a result, the equation for x is written below:
x = -7/b
Answer:
Answer: Kayla used 2&5/24 cups of paint all together.
Step-by-step explanation:
Kayla paints a bookcase by using
1 5/6 cups of paint on the outside of the bookcase. Converting 1 5/6 cups to improper fraction, it becomes 11/6 cups of paint.
She also used 3/8 cup of paint on the inside.
Therefore, the total number of cups of paint that Kayla used all together would be cups of paint:
Converting to mixed fraction, it becomes
<u>2 and 5/24 cups of paint</u>
9514 1404 393
Answer:
y = -1/4x^2 -3/2x +3/4
Step-by-step explanation:
You know that vertex form is ...
y = (1/(4p))(x -h)^2 +k
for a focus-vertex distance of p and a vertex of (h, k).
Here, the focus-vertex distance is 2-3 = -1 (difference of y-coordinates), and the vertex is (h, k) = (-3, 3). This means the vertex form equation is ...
y = -1/4(x +3)^2 +3
Expanding the square gives ...
y = -1/4(x^2 +6x +9) +3
y = -1/4x^2 -3/2x +3/4
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<em>Additional comment</em>
The square of a binomial is ...
(x +a)^2 = x^2 +2ax +a^2