Substitute y in the first equation.
-8x = -x - 14
+x +x
-7x = -14
-7x/-7 = -14/-7
x = 2
Now solve for y.
y = -18(2)
y = -36
Answer: (2, -36) or y = -36 and x = 2
Answer:
34.0 degrees, 29.6 feet in Diameter.
This is a right triangle trigonometry question.
Use half of the diameter to form the base of the triangle (19.3 ft) with a height 0f 13.
Use Inverse Tangent function to find the angle of repose
round to 34.0
then use the angle of repose to solve trigonometric function of the tangent for the radius of the other cone.
switch denominator and tangent
multiply by 2 to get diameter of second cone
14.82*2≈29.6
hopefully this helps!
The common ratio of sequential values is
18.2/26 = 0.7
The missing value is
12.74*0.7 = 8.918
The appropriate choice is ...
d. 8.918
Using a proportional relationship, it is found that Carlos earns an allowance of $7.5 for each chore that he completes.
<h3>What is a proportional relationship?</h3>
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, the constant is:
k = 75/10 = 97.5/13 = 112.5/15 = 7.5.
Hence Carlos earns an allowance of $7.5 for each chore that he completes.
More can be learned about proportional relationships at brainly.com/question/10424180
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The area bounded by the line y=3x from limits x=0 to x=4 will be 24.
<h3>What is integration?</h3>
Integration is defined as the adding up all the small units to find the whole unit.
It is given in the question that the line y=3x is making a region in a plane from the limits x= to x=4.
So by integrating the function we will get the area.


![\int\limits^4_0 y=[\dfrac{3x^2}{2}]^4_0](https://tex.z-dn.net/?f=%5Cint%5Climits%5E4_0%20y%3D%5B%5Cdfrac%7B3x%5E2%7D%7B2%7D%5D%5E4_0)


hence the region bounded by the line y=3x will have the area of 24 square units.
To know more about integration follow
brainly.com/question/18831322
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