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lisabon 2012 [21]
3 years ago
8

the value of x in this system of equations is 1. 3x y = 9 y = –4x 10 substitute the value of y in the first equation: combine li

ke terms: apply the subtraction property of equality: apply the division property of equality: 3x (–4x 10) = 9 –x 10 = 9 –x = –1 x = 1 what is the value of y?
Mathematics
2 answers:
alekssr [168]3 years ago
7 0
Repeating the steps of the statement:

3x + y = 9
y = -4x + 10

3x -4x + 10 = 9
-x + 10 = 9
-x = 9-10
-x = -1
x=1 (the same value given in the first sentence of the statement).

y = -4x + 10 (second equation of the system)
y = -4 (1) + 10 = -4 + 10 = 6

Answer: y = 6
Reptile [31]3 years ago
4 0
We have two unknowns from the equation therefore, two equations are needed. These equations are:
<span>
3x + y = 9
y = –4x +10 

To solve for y, we first substitute the second equation to the first one.
</span>3x + –4x +10<span>= 9 
</span><span>x = 1

We substitute the value of x to either of the equations and solve for y.

</span>y = –4(1) +<span>10 
</span><span>y = 6

</span>
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Answer:

V=179.6cm^3

Step-by-step explanation:

the volume of a cylinder is given by:

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where r is the radius and h is the height.

and the surface area:

SA=2\pi r^2+2\pi rh

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since "The number of volume of a cylinder is half of its number of the total surface area." we will have that:

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substitutig the equivalent expressions on each side:

\pi r^2 h = \frac{1}{2} (2\pi r^2+2\pi r h)

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\pi r^2 h = \pi r^2+\pi r h\\\pi r^2h-\pi rh=\pi r^2\\h(\pi r^2-\pi r)=\pi r^2\\h=\pi r^2/(\pi r^2-\pi r)

we substitute the value of the radius r=7cm, and we get:

h=\pi (7cm)^2/(\pi (7cm)^2-\pi (7cm))\\h=153.938/(153.938-21.991)\\h=153.938/131.947\\h=1.1666cm

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Using CPCTC, we can get to the fact that angle NWZ = angle NYX which are alternate interior angles leading to proving that XY || WZ

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After proving that XY || WZ and XW || YZ, this is enough to prove we have a parallelogram as the opposite sides are parallel.

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