(a) 95 = (x+7)*(x-7)
(b) 95 = (x+7)*(x-7)
Expand the brackets:
95 = x² -7x + 7x -49 = x² - 49
Subtract x² from both sides:
95-x² = -49
Subtract 95 from both sides:
-x²=-49-95
-x²= -144
Divide both sides by -1 to get rid of the negative numbers:
-x²/-1=-144/-1
x²=144
Take the square root of 144:
x = ± squareroot of 144
x = 12 or -12
x = 12 because you cannot have a negative age so Trina is 12 years old.
The equation of the circle would be
(
x
−
(
−
4
)
)
2
+
(
y
−
7
)
2
=
6
2
or
(
x
+
4
)
2
+
(
y
−
7
)
2
=
36
Answer:
−
3
−
9
n
Step-by-step explanation:
Simplify the expression
Answer: 50 + m
Step-by-step explanation:
From the question, Erica and John are making brackets and Erica makes 25 bracelets while John makes m more bracelets than Erica. The total number of bracelets made will be:
Erica bracelet = 25
John bracelet = 25 + m
Total bracelet = 25 + 25 + m
= 50 + m
The expression that represents the total number of bracelets Erica and John made is 50 + m