Separating the balloons into five equal groups
<span>⊙⊙⊙ ___ ⊙⊙⊙ ___ ⊙⊙⊙ ___ ⊙⊙⊙ ___ ⊙⊙⊙ </span>
<span>each group (fifth) has three balloons ___ four-fifths is twelve</span>
Answer:
y = 3/2*x - 5
Step-by-step explanation:
Lets say that P1=(6,4) and P2=(4,1) and that the form of the equation must be y=m*x+b where m is the slope and b the independent variable. Then having two given points we can use the slope formula to find the slope value as:
P1=(x1,y1) and P2=(x2,y2)
slope formula ---> m=(y2-y1)/(x2-x1)
Replacing the given points ---> m=(1-4)/(4-6) = 3/2
then replacing the slope value obtained:
y = 3/2*x + b
Now lets find the value of b. For this we have to replace in the equation a point it can be P1 or P2, i will replace P2:
1 = 3/2*4 + b
1 = 6 + b
1 - 6 = b
-5 = b
therefore the line equation is:
y = 3/2*x - 5
Answer:
47.1 cm
Step-by-step explanation:
<u>The formula for finding circumference is πd. So, plug in the given values and simplify the expression:</u>
d = 15
π = 3.14
15 × 3.14 = 47.1
<u>The circumference of a circle with a diameter of 15 cm and using 3.14 as a substitute for π will be </u><u>47.1 cm</u><u>.</u>
6^2 = x (x - 9)
x^2 - 9x - 36 = 0
(x -12)(x + 3) = 0
x - 12 = 0; x = 12
x +3 = 0; x = -3
so in this case x = 12 then DC = 12 - 9 = 3
y^2 = 12^2 - 6^2
y^2 = 144 - 36
y^2 = 108
y = 10.4
