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timama [110]
3 years ago
14

Please help filling in blanks on this question.

Mathematics
1 answer:
Artist 52 [7]3 years ago
6 0
They are filled in so what do u need help with
You might be interested in
What is the solution of the system? Use elimination.
sweet [91]

Answer:

The solutions to the system of the equations by the elimination method will be:

x=2,\:z=-1,\:y=2

Step-by-step explanation:

Given the system of the equations

2x\:+\:2y\:+z\:=\:7

-x-\:y\:+z\:=\:-5

x+3y-4z=12

solving the system of the equations by the elimination method

\begin{bmatrix}2x+2y+z=7\\ -x-y+z=-5\\ x+3y-4z=12\end{bmatrix}

\mathrm{Multiply\:}-x-y+z=-5\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y+2z=-10

\begin{bmatrix}2x+2y+z=7\\ -2x-2y+2z=-10\\ x+3y-4z=12\end{bmatrix}

-2x-2y+2z=-10

+

\underline{2x+2y+z=7}

3z=-3

\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ x+3y-4z=12\end{bmatrix}

2x+6y-8z=24

-

\underline{2x+2y+z=7}

4y-9z=17

\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ 4y-9z=17\end{bmatrix}

Rearranging the equations

\begin{bmatrix}2x+2y+z=7\\ 4y-9z=17\\ 3z=-3\end{bmatrix}

solve 3z=-3 for z:

z=-1

\mathrm{For\:}4y-9z=17\mathrm{\:plug\:in\:}z=-1

solve  4y-9\left(-1\right)=17 for y:

4y-9\left(-1\right)=17

4y+9=17

4y=8

y=2

\mathrm{For\:}2x+2y+z=7\mathrm{\:plug\:in\:}z=-1,\:y=2

solve 2x+2\cdot \:2-1=7 for x:

2x+2\cdot \:2-1=7

2x+3=7

2x=4

x=2

Therefore, the solutions to the system of the equations by the elimination method will be:

x=2,\:z=-1,\:y=2

5 0
2 years ago
A cylindrical well has a radius of 10 feet and a height of 15 feet. What
OLga [1]

Answer:

Look below.

Step-by-step explanation:

We can use the information provided to plug it into a...

Fomula to find a volume of a cylinder:

V=πr^2h

V=π(10)^2(15)

V≈4712.39ft

6 0
2 years ago
Is {(5, 12), (-4,9), (-2,-7), (-4,0), (3, 2)}<br> A function? Please help me
Anna71 [15]

Answer:

Not a function

Step-by-step explanation:

(-4,9), (-4,0)   : one input (-4) with 2 output -9 , 0

6 0
2 years ago
Helpppp me please!!!
Semenov [28]

To find the value of q, we need to find d(-8). Put another way, we need to find the value of d(x) when x = -8

d(x) = -\sqrt{\frac{1}{2}x+4}

d(-8) = -\sqrt{\frac{1}{2}(-8)+4}

d(-8) = -\sqrt{-4+4}

d(-8) = -\sqrt{0}

d(-8) = 0

So this means q = 0. Note that -0 is just 0.

===========================================

The value of r will be a similar, but now we use f(x) this time.

Plug in x = 0

f(x) = \sqrt{\frac{1}{2}x+4}

f(0) = \sqrt{\frac{1}{2}*0+4}

f(0) = \sqrt{0+4}

f(0) = \sqrt{4}

f(0) = 2

Therefore, r = 2.

===========================================

For s, we plug x = 10 into f(x)

f(x) = \sqrt{\frac{1}{2}x+4}

f(10) = \sqrt{\frac{1}{2}*10+4}

f(10) = \sqrt{5+4}

f(10) = \sqrt{9}

f(10) = 3

So s = 3.

===========================================

Finally, plug x = 10 into d(x) to find the value of t

d(x) = -\sqrt{\frac{1}{2}x+4}

d(10) = -\sqrt{\frac{1}{2}(10)+4}

d(10) = -\sqrt{5+4}

d(10) = -\sqrt{9}

d(10) = -3

A shortcut you could have taken is to note how d(x) = -f(x), so this means

d(10) = -f(10) = -9 since f(10) = 9 was found in the previous section above.

Whichever method you use, you should find that t = -3.

===========================================

<h3>In summary:</h3><h3>q = 0</h3><h3>r = 2</h3><h3>s = 3</h3><h3>t = -3</h3>
8 0
2 years ago
According to the distributive property, a(5 + b) =
kupik [55]
B
........................
6 0
2 years ago
Read 2 more answers
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