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riadik2000 [5.3K]
3 years ago
7

Suppose y varies directly with x and y= 24 when x=8 what is the value of y when x =10

Mathematics
1 answer:
AlekseyPX3 years ago
5 0

Answer:

B. 30

Step-by-step explanation:

y  ∝  x  or  y  =  k  ⋅  x  or  k  =  \frac{y}{x}  ;   k is constant of variation.  

y  =  24  ;  x  =  8  ∴  k  = \frac{24}{8} =  3  ∴  y  =  3  x.  So When  x  =  10  ;  y  =  3  ⋅  10  =  30

y  =  30

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OleMash [197]

Answer:

A. z = 2292.8 is your answer

Step-by-step explanation:

Isolate the variable (z). Note the equal sign, what you do to one side, you do to the other. Add 1092.8 to both sides

z - 1092.8 (+1092.8) = 1200 (+1092.8)

z = 1200 + 1092.8

z = 2292.8

A. z = 2292.8 is your answer

~

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3 years ago
What does it mean when two lines are perpendicular? What does it tell you about the equations?
Vaselesa [24]
When lines are perpendicular it’s called parallel, it’s when the lines never touch
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3 years ago
Please help me on this question
Alina [70]

Answer:

DE = 13.4 cm  (to 1 decimal place)

Step-by-step explanation:

Given: ABCD is a square

BC = AC = 12 cm    (opposite sides of a square are congruent)

E is midpoint of BC   (given)

BE = EC  = 12/2 = 6 cm

CD = AB = 12 cm   (opposite sides of a square are congruent)

angle ECD is a right angle (interior angles of a square are 90 deg.)

Consider right triangle ECD

DE = sqrt(EC^2+CD^2)    ............. pythagorean theorem

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8 0
3 years ago
Read 2 more answers
The altitude above sea level of an airplane just after taking off from an airport on a high plateau is given by the linear funct
Zolol [24]

Answer:

Slope, m = 1100

y-intercept,c = 2491                                                            

Step-by-step explanation:

We are given the following in the question:

y(x) = 1100x + 2491

The above gives the altitude of the airplane above the sea level in feet(y) after x minutes since the take off.

Comparing the above equation, to a general linear equation, we have,

y = mx + c

where m is the slope and c is the y-intercept.

Comparing we get,

Slope, m = 1100

y-intercept,c = 2491

Interpretation:

  • The slope of equation tells us about the rate of change of function with unit increase in value of x. Thus, the altitude of airplane increases 1100 feet when the time increases by 1 minute.
  • The y-intercept is the value of y when x is 0. Thus, the altitude of airplane is 2491 feet when the airplane has not taken off.

6 0
3 years ago
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