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yarga [219]
3 years ago
9

Solve the system of elimination -2x+2y+3z=0 -2x-y+z=-3 2x+3y+3z=5

Mathematics
1 answer:
Dahasolnce [82]3 years ago
5 0

Answer:

x = 1 , y = 1 and z = 0

Step-by-step explanation:

-2x+2y+3z=0    ------(1)

-2x-y+z=-3     --------(2)

2x+3y+3z=5    ---------(3)

<u>To find the values of x,y and z</u>

(3) - (2)⇒ 2y + 4z = 2

y + 2z = 1   --------(4)

(1) - (2)⇒ 3y +2z =3   ---(5)

(5) - (4)⇒ 2y = 2

y = 1

Substituting the value of y in (4) we get z =0

Substituting the value of y and z  in (1) we get x = 1

Therefore x = 1 , y = 1 and z = 0

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For each triangle below find the side that marked with the letter.
Flura [38]

Answer:

All to 1 decimal place

3) a = 11.4

4) b = 11.2

5) c = 4.5

6) e = 6.4

7) f = 30.8

8) g = 67.9

Step-by-step explanation:

Step-by-step explanation:

3) cos(18) = a/12

12xcos(18) = a

a = 11.4

4) tan(25) = b/24

b = 24xtan(25)

b = 11.2

5) cos(51) = c/7.2

c = 7.2xcos(51)

c = 4.5

6) sin(28) = e/13.6

e = 13.6 x sin(28)

e = 6.4

7) cos(47) = 21/f

f = 21/cos(47)

f = 30.8

8) sin(33) = 37/g

g = 37/sin(37)

g = 67.9

All to 1 decimal place

6 0
3 years ago
Find the measure of the exterior angle.
sammy [17]

Answer:

k =64+76 =140 °

Step-by-step explanation:

6 0
3 years ago
Can anyone help me I'm confused?
Serhud [2]

Answer: 10 inches

Step-by-step explanation:

If the two triangles are similar, that means their sides are proportional to each other.

  • JK = 15
  • JL = 15 + 6 = 21
  • JM = 14

<em>The proportion would look like this:</em>

<em />\frac{JK}{JL} =\frac{JN}{JM}\\

<em>Substitute in the values:</em>

<em />\frac{15}{21} =\frac{JN}{14}

<em>Cross-multiply and solve for JN:</em>

<em />21*JN=15*14\\JN=\frac{15*14}{21} =\frac{210}{21} =10

7 0
3 years ago
Read 2 more answers
2(3 times 3+4 times 4)
Jobisdone [24]
2(3*3+4*4)

2(9+16)

2( 25)

The answer is 50

Hope I helped! (Pick me <span>as brainliest!)</span>
5 0
3 years ago
Read 2 more answers
A circle is increased to have a circumference that is 4 times larger than the original. Which of the following options best desc
kogti [31]
Area of a circle is directly proportional to the square of radius of the circle while the circumference is proportional to the radius of the circle. This means that if the radius of a circle is increased x times, then its area will be increased to x^2 times the original area, and the circumference will increase to x times the original circumference.

Thus when the radius is doubled, or in other words if radius mad 2 time the original radius, the area of circle will become 2^2 = 4 time the original area. The circumference will become 2 times the original circumference.

We can calculate exact area and circumference of a circle from its radius using the following equations:

Area of circle = (pi/4)*r^2

Circumference of circle = 2*pi*r

Where r is the radius of the circle.

I know this is a lot, sorry.
3 0
3 years ago
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