Solve the following system of equations for y: 2x + y - 3 - 0 and 3x + 2y - 4 = 0

Mathematics

1 answer:

il63 [147K]2 years ago

6 0

Step-by-step explanation:

I think all of you under stand this question so please like the answer

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Figure ABCD is rotated clockwise about the origin through 90°. Identify the coordinates for the given figure after 90° rotation

nydimaria [60]

Answer:

D[3, 3], C[1, 4], B[0, 1], A[4, -1]

Step-by-step explanation:

Whenever you are doing a 90° clockwise rotation ABOUT THE ORIGIN, it is in the form of [y, -x], meaning you take the y and make it your x, then take your original x and put its OPPOSITE.

90° counterclockwise rotation → [-y, x]

90° clockwise rotation → [y, -x]

I hope this helps, and as always, I am joyous to assist anyone at any time.

8 0

2 years ago

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A group of 485 people take a canoe trip. They fill up all avalible canoes that each hold 3 people with 273 people. The rest of t

Jobisdone [24]

Answer:
3c=273
c=91
2c= 212
C= 106
c= 91+ 106= 197
so they will need 197 canoes total

Why:
So first you have to determine a set variable to represent the number of canoes, I chose C. Then you make an equation to represent the number of canoes 273 people will use if they group into 3's, from this I got 3c=273. Solve for C and get 91.
The remainder of the group which is 485-273= 212 will use canoes in groups of 2's. To represent this, 2c=212. Solve for C and get 106. Combine 106 and 91 to get the total number of canoes.

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2 years ago

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Find the L.C.M and H.C.F of: a. 432 and 486

USPshnik [31]

Answer:

L.C.M of 432 and 486: 3888

H.C.F of 432 and 486: 54

Step-by-step explanation:

3 0

2 years ago

If a cylinder has a height of 15cm and 6cm radius.And Jenny has a 15litre bag of compost.How many flowerpots can she fill comple

Veronika [31]

I hope this helps you

volume of cylinder =pi.r^2.h

volume =3,14×6^2×15

volume = 1695,6

1695,6÷15=113,04

3 0

3 years ago

Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two si

Phantasy [73]

x + y = 24 where x and y are the 2 parts of diagonal Other diagonal wil be smaller that 24.
x^2 + z^2 = 13^2
y^2 + z^2 = 20^2 where z = 0.5 * length of smaller diagonal)

form last 2 equations

y^2 - x^2 = 20^2 - 13^2 = 231
now y = 24-x so we have

(24 - x)^2 - x^2 = 231

576 - 48x = 231

48x = 345

x = 7.1875

z^2 = 13^2 - 7.1875^2 = 117.34
z = 1.83

so smaller diagonal = 21.66 cm

looks like its the third choice.

5 0

3 years ago