Answer:
y= -3/2x + 12
Step-by-step explanation:
When finding a perpendicular line you take your slope and make it the opposite (flip it and change the sign).
Slope originally=2/3
New slope= -3/2
Next we will use the point slope equation
y-y1=m(x-x1)
y1=y value
m=slope
x1=x value
y--6= -3/2(x-12) Since you have y minus negative 6 you get to change it to y+6
y+6= -3/2(x-12) Now distribute your slope to both terms inside the parenthesis.
y+6= -3/2(x) -3/2(-12)
y+6= -3/2x +18 Finally subtract 6 from both sides.
-6 -6
y= -3/2x + 12
To solve this problem, let us first define what
probability means in this case. It would be:
Probability = (number of colors to choose from) / (total
number of colors)
There are a total of 5 colors on the spinner. The number
of colors to choose from spins 1 to 8 would be 5 out of 5, while for the last
spin 9 the number of colors to choose from would only be brown so that would be
1 out of 5. The total probability would be the product of the probability of
each spins, therefore:
<span>Probability = 1st spin * 2nd spin * 3rd
spin * 4th spin * 5th spin * 6th spin * 7th
spin * 8th spin * 9th spin</span>
Probability = (5/5) *(5/5) *(5/5) *(5/5) *(5/5) *(5/5) *(5/5)
*(5/5) * (1/5)
Probability = 0.2
<span>There is a 20% chance to get brown on the last spin.</span>
The sum of all the angles in a triangle should always add up to 360° and seeing that this is an isosceles triangle 2 of the angles should be equal.
So there would be 2 30° angles and 360-60=300 so the 3rd angle would be equal to 300° . Hope this helps!
<span>8p = 3p + 25
Subtract 3p from both sides: 5p = 25 Divide both sides by 5: '
p = 5</span>
9514 1404 393
Answer:
61.4
Step-by-step explanation:
The length of two semicircles of diameter 10 is the circumference of a circle of that diameter:
C = πd = 10π ≈ 31.4
The perimeter includes that length plus the lengths of two straight sides that are 15 units each.
P = 31.4 + 2×15
P = 61.4 . . . . units