A^2+b^2= 15^2
b=a-3
Use substitution
a^2+(a-3)^2= 225
a^2+a^2-6a+9=225
2a^2-6a=-216
2a^2-6a+216=0
2(a^2-3a+108)
2(a-12)(a+9)
(a-12)=0
a=12
(a+9)=0
a=-9
A is -9 or 12, but since an object can't have a negative length or width, a must be 12.
Plug this value of a in.
b=(12)-3
b=9
Final answer: Length=9, width=12
Firstly, let's convert 10x + 2y = -2 to slope-intercept form (y = mx + b):
10x + 2y = -2
2y = -10x - 2
y = -5x - 2/5
The slope is -5. Parallel lines have the same slope; the question provides the y-int (12), so our equation is:
y = -5x + 12
Hope this helps.
Answer:
The probability for Heads will be 60% or 3/5.
The probability for Tails will be 40% or 2/5.
Step-by-step explanation:
The coin flipped 5 times and landed on Heads 3 times. This shows that out of 5 situations, 3 situations were Heads. Therefore, the probability is 3/5.
The coin landed on Tails 2/5 times the coin was flipped, which is basically the probability.
Let 'c' represent the number of points Carlos scored.
2c - 7 = 31
c = 19 points
Answer:
y
=
5
/2
x
−
2
Step-by-step explanation:
The slope-intercept form of a linear equation is: y
=
m
x
+
b Where m is the slope and b is the y-intercept value.
