Answer:
<h2>For c = 5 → two solutions</h2><h2>For c = -10 → no solutions</h2>
Step-by-step explanation:
We know

for any real value of <em>a</em>.
|a| = b > 0 - <em>two solutions: </em>a = b or a = -b
|a| = 0 - <em>one solution: a = 0</em>
|a| = b < 0 - <em>no solution</em>
<em />
|x + 6| - 4 = c
for c = 5:
|x + 6| - 4 = 5 <em>add 4 to both sides</em>
|x + 6| = 9 > 0 <em>TWO SOLUTIONS</em>
for c = -10
|x + 6| - 4 = -10 <em>add 4 to both sides</em>
|x + 6| = -6 < 0 <em>NO SOLUTIONS</em>
<em></em>
Calculate the solutions for c = 5:
|x + 6| = 9 ⇔ x + 6 = 9 or x + 6 = -9 <em>subtract 6 from both sides</em>
x = 3 or x = -15
Answer:
y=2 and x=1
Step-by-step explanation:
2y=7y-14+4
2y-7y=-14+4
-5y=-10/-5
y=2
4x=6-4+2x
4x-2x=6-4
2x=2/2
x=1
Answer:
A) 3, 4, and 5
D) 9, 12, and 15
Step-by-step explanation:
A) 3, 4, and 5
D) 9, 12, and 15
If you square and add the first two, you get the third one squared. That doesn’t work for B and C.