1. Which sequence of transformations takes A to its image,B ?
1 answer:
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X² - 3x - 10
x² = x * x
10 can be factored:
1 x 10 ⇒⇒⇒ difference between factors = 9
2 x 5 ⇒⇒⇒ difference between factors = 3 ⇒ (The correct pair)
(x-5)(x+2) = x(x+2) - 5(x+2)
= x² + 2x - 5x - 10
= x² - 3x - 10
∴ x - 5 = 0 ⇒⇒⇒ x = 5
x + 2 = 0 ⇒⇒⇒ x = -2
I have attached <span>algebra tiles for the given equation.</span>
x² = x * x
10 can be factored:
1 x 10 ⇒⇒⇒ difference between factors = 9
2 x 5 ⇒⇒⇒ difference between factors = 3 ⇒ (The correct pair)
(x-5)(x+2) = x(x+2) - 5(x+2)
= x² + 2x - 5x - 10
= x² - 3x - 10
∴ x - 5 = 0 ⇒⇒⇒ x = 5
x + 2 = 0 ⇒⇒⇒ x = -2
I have attached <span>algebra tiles for the given equation.</span>
Answer:
200 ft.
2 jumps
Step-by-step explanation:
The slide is placed at coordinates (-2,0) and the fountain is placed at coordinates (-2,-2).
(A) Therefore, using the distance between two known points formula, the distance from the slide to the fountain is given by
units.
Now, given that each unit on the grid represents 100 ft.
So, the distance from slide to the fountain is (100 × 2) = 200 ft. (Answer)
(B) Now, if each jump = 100 ft, then the slide is 2 jumps apart from the fountain. (Answer)
We know the distance between two known points on the coordinate plane () and (
) is given by the following formula
Distance =