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LUCKY_DIMON [66]
3 years ago
8

!SUBSTITUTION METHOD!6y - 5z = -8 3z = -6 4x - 3y - 2z= 21​

Mathematics
1 answer:
hichkok12 [17]3 years ago
3 0

Answer:

<h2>x = 2 </h2><h2>y = - 3</h2><h2>z = - 2</h2>

Step-by-step explanation:

6y - 5z = -8 .......... Equation 1

3z = -6 ................... Equation 2

4x - 3y - 2z= 21...... Equation 3

<u>First solve for z in Equation 2</u>

That's

3z = - 6

Divide both sides by 3

<h3>z = - 2</h3>

Next substitute the value of z into Equation 1 in order to find y

We have

6y - 5(-2) = - 8

6y + 10 = - 8

6y = - 8 - 10

6y = - 18

Divide both sides by 6

<h3>y = - 3</h3>

Finally substitute the values of y and z into Equation 3 to find the value of x

That's

4x - 3(-3) - 2(-2) = 21

4x + 9 + 4 = 21

4x + 13 = 21

4x = 21 - 13

4x = 8

Divide both sides by 4

<h3>x = 2</h3>

So the solutions are

<h3>x = 2 </h3><h3>y = - 3</h3><h3>z = - 2</h3>

Hope this helps you

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PLEASE HELP!!! I tried using different formulas, adding, subtracting, dividing, multiplying you name it and I have yet to find t
zvonat [6]

Answer:

19.14

Step-by-step explanation:

You have a half circle and a square, look at them separate then add for the area.

Circle

Your radius is half the diameter, so 4/2

Radius  = 2

A = 3.14 * radius\\A = 3.14 * 2\\A = 6.28

This is for the entire circle, half of that would be 3.14

Square

A = 4^{2} \\A = 16

Add them both together for a total area of 19.14 square miles

6 0
3 years ago
A city has cone shaped buildings for storing salt and sand for icy roads. Each building has a radius of 50 feet and a height of
aalyn [17]

Answer:

  • Radius=50 ft
  • π=3.14
  • Height=30 ft
  • Volume=?

We know that,

\star \:  \:  \purple{Volume_{(cone)} =\pi {r}^{2}   \frac{h}{3} }

\star \:  \:  \purple{Volume_{(cone)} =3.14 \times  {(50)}^{2}  \times   \: \cancel\frac{30}{3}  \:   }

\star \:  \:   \purple{Volume_{(cone)} = 3.14 \times (50 \times 50) \times 10}

\star \:  \:  \purple{Volume_{(cone)} =3.14 \times 2500 \times 10 }

\star \:  \:  \purple{Volume_{(cone)} =78500 }

Thus,the third option is correct.

\star \: \: {\blue{DisneyPrincess29}}

6 0
3 years ago
The degree of the polynomial function f(x) is 3. The roots of the equation f(x)=0 are −4 , 0, and 2. Which graph could be the gr
KATRIN_1 [288]

We know that the polynomial function is of degree 3, and that its roots are -4, 0, 2.

With this data we can write a generic equation for the function:

f (x) = bx (x + 4) (x-2)

Since the function is of degree 3 and cuts the axis at x = 0, then it has rotational symmetry with respect to the origin.

The graph of the function can be of two main forms, based on the value of the coefficient b.

If b is positive then the function grows from y = -infinite and cuts the x-axis for the first time in -4. Then it decreases, cuts at x = 0 and begins to grow again cutting the x-axis for the third time at x = 2. and continues to grow until y = infnit


If b is negative, then the function decreases from y = infinity and cuts the x-axis for the first time in -4. Then it grows, cuts at x = 0 and begins to decrease again by cutting the x-axis for the third time at x = 2, and continues to decrease until y = -infnit.


In the attached images the graphs of the function f (x) are shown assuming b = -1 and b = 1

5 0
3 years ago
Read 2 more answers
A number,Y,is 2 less than half of a number X
zhenek [66]

Answer: y = 0.5x - 2

Step-by-step explanation: 0.5x = half of a number X

8 0
3 years ago
Find the distance and displacement for the following figures :
Vinil7 [7]

The figure (i) have a distance of 15.996 meters and a displacement of 13.892 meters and (ii) a distance of 480 centimeters and a displacement of 339.411 centimeters

<h3>How to find the distance and displacement in each trajectory</h3>

The distance is the sum of the lengths that form a trajectory and the displacement is the distance between the <em>initial</em> and <em>final</em> point of a trajectory. Then, we have the following results for each case:

Case I

Distance

d = 5 m + 0.5π · (7 m)

d ≈ 15.996 m

Displacement

D = \sqrt{(12\,m)^{2}+(7 m)^{2}}

D ≈ 13.892 m

Case II

Distance

d = 8 · (60 cm)

d = 480 cm

Displacement

D =\sqrt{(240\,cm)^{2}+(240\,cm)^{2}}

D ≈ 339.411 cm

To learn more on displacement: brainly.com/question/11934397

#SPJ1

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