Answer:
Image point → (13, -3)
Step-by-step explanation:
Rule for the translation of a point (x, y) by shifting 'a' units right and 'b' units down is,
(x, y) → (x + a, y - b)
If a point (-1, -8) has been translated by 4 units right and 5 units down,
(-1, -8) → (-1 + 4, -8 - 5)
→ (3, -13)
Followed by reflection across a line y = -x.
Rule for the reflection of a point (x, y) about a y = -x is,
(x, y) → (-y, -x)
Therefore, reflection of the point (3, -13) will produce an image point as,
(3, -13) → (13, -3)
Hence, image point by the transformations given will be (13, -3).
<span><span>(5x+2)</span><span>(x+3)</span></span>
Explanation:
Find factors of <span>5and 6</span> whose products ADD to 17
It might take a bit of trial and error to find the correct combination of factors.
<span><span>........</span>5 and 6</span>
<span><span>.......</span>↓ ↓</span>
<span><span>........</span>5 2 →1×2=2</span>
<span><span>........</span>1 3 →5×3=<span>15<span>−−</span></span></span>
<span><span>...............................................</span><span>17</span></span>
Answer:
Step-by-step explanation:
divide by 3: x^2 = 4
Think you can finish that off now?
Answer:
(6,41)
x=6
y=41
Step-by-step explanation:
I did it algebraically to solve for x and y, and I also graphed both of them and found the point where they intersect. It’s in the image below.
Hope this helps! :)
Answer:
Part A: yes
Part B: yes
Part C: yes
Step-by-step explanation:
Part A:
77² + 420² = 427²
5,929 + 176,400 = 182,329
182,329 = 182,329
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Part B:
279² + 440² = 521²
77,841 + 193,600 = 271,441
271,441 = 271,441
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Part C:
39² + 760² = 761²
1,521 + 577,600 = 579,121
579121 = 579,121
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