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Oliga [24]
3 years ago
5

Write an equation that expresses the following relationship: x varies directly as p and inversely as the difference between y an

d c. Then solve the equation for y
Mathematics
1 answer:
dsp733 years ago
5 0
X = kp/y-c

cross multiply 

xy-xc = kp

factor out the x

x(y-c) = kp

divide entire equation by x

y-c = kp/x

isolate y since we are solving for y
we do this by adding c to both sides which ultimately gives us the answer

y = kp/x + c
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Write an equation in standard form of the line passing through the points (12, 3) and (-3, 8).
aliya0001 [1]

Answer:

x + 3y = 21

Step-by-step explanation:

(x_{1},y_{1})=(12,3) \\\\(x_{2},y_{2})=(-3,8)\\\\Slope= \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \dfrac{8-3}{-3-12}= \dfrac{5}{-15}\\\\= \dfrac{-1}{3}

Equation of the line: y =mx+ b

y =  \dfrac{-1}{3}x+b\\\\\\Plugin \ x = 12 \ and \ y=3 \ in \ the \ above \ equation\\\\3= \dfrac{-1}{3}*12+b\\\\3= -4+b\\\\3+4 = b\\\\b = 7\\\\\\\y=  \dfrac{-1}{3}x+7\\\\

Multiply the equation by 3

3y = -x + 21

x + 3y = 21

6 0
3 years ago
 What is the radius of a cone with diameter​ d? An ice cream cone is filled exactly level with the top of the cone. The cone has
alekssr [168]

Answer:

radius is 2.5

volume of ice cream is 58.9 cm cubed

Step-by-step explanation:

to calculate the volume of a cone   v=pi x r^2 x (h/3)

v=volume

r=radius

h=height

^ means powers and roots

depth in cones is the same as height

v=3.14 x 2.5^2 x (9/3)

order of operations

v=3.14 x 2.5^2 x 3

v=3.14 x 6.25 x 3

v=19.625 x 3

v=58.875

round

v=58.9

5 0
4 years ago
What is the equation in point slope form of the line that passes through the points (-3,5) and (2,-3)?
SOVA2 [1]

Answer:

y - (-3) = -8/5 (x - 2)

Step-by-step explanation:

-3 -5 = -8

2 - (-3) = 5

slope = -8/5

y - (-3) = -8/5 (x - 2)


3 0
4 years ago
What is a decimal equivalent of the fraction 32/45
saul85 [17]

Answer:

0.71. with the bar notation over the 1

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The teacher concluded that there is a correlation between having a computer and having a phone. Do you agree with the teacher? E
timama [110]

Answer:

yes I agree with teacher

Step-by-step explanation:

I I think this because 1 people that have a phone and a computer are the highest group and two becauseit seems that most of the class has a phone it also seems that most of the class has a computer

3 0
3 years ago
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