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blondinia [14]
3 years ago
6

FACTOR the expression 6x+3y-12 using the greatest common multiple.

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
8 0

Answer:

Step-by-step explanation:

For 6x+3y-12 the greatest common factor is 3 so

3(2x+y-4)

For -2+6x+4+4x

10x+2 and 2 is greatest common factor so

2(5x+1)

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PRECALCULUS, PLEASE HELP!
solmaris [256]

Hello from MrBillDoesMath!

Answer:

If n is even, sum =  n/2.

If n is odd, sum =  (n-1)/2  - 16


Discussion:

See attached doc and ask questions!

Thank you,

MrB

8 0
3 years ago
I just need help with three, four, and seven. Solve the system of linear equations, and determine if the equation has one soluti
likoan [24]

3. If y=5x+9 and y=3x-2, then

5x+9=3x-2\implies2x+9=-2\implies2x=-11\implies x=-\dfrac{11}2

Then

y=5\left(-\dfrac{11}2\right)+9=-\dfrac{55}2+9=-\dfrac{37}2

(only one solution)

4. If y+2=4x, then y=4x-2. So we're told that 4x-5=4x-2 but this is impossible, because that would that for any x, we have -5 = -2. This is false, so this system has no solution.

7. "y is 6 less than 3 times x" means y=3x-6. "x is 2 more than one-third of y" means x=\dfrac13y+2. Solving the second equation for y gives y=3x-2, which would mean 3x-6=3x-2. But for the same reason as in (4), there is no solution. For any value of x, this equation gives the false conclusion that -6 = -2.

8 0
3 years ago
Quadrilateral JKLM is a rhombus. The diagonals intersect at N. If the measure of angle KJL is 2x + 5° and angle MJN = 3x – 8 fin
Oksana_A [137]

Answer:

The measure of angle KLM is 62°

Step-by-step explanation:

* Lets revise the properties of the rhombus

- The rhombus has 4 equal sides in length

- Every two opposite angles are equal in measure

- The two diagonals bisect each other

- The two diagonals perpendicular to each other

- The two diagonals bisect the vertices angles

* Lets solve the problem

∵ JKLM is a rhombus

∴ m∠MJK = m∠KLM ⇒ opposite angles in the rhombus

∵ JL and KM are diagonals in the rhombus and intersect each

   other at N

∴ JL bisects ∠MJK

∴ m∠KJL = m∠MJN

∵ m∠KJL = (2x + 5)°

∵ m∠MJN = (3x - 8)°

∴ 2x + 5 = 3x - 8 ⇒ subtract 2x from both sides

∴ 5 = x - 8 ⇒ add 8 to both sides

∴ 13 = x

∴ The value of x = 13

∵ m∠KJL = (2x + 5)° ⇒ substitute the value of x

∴ m∠KJL = 2(13) + 5 = 26 + 5 = 31°

∵ m∠KJL = 1/2 m∠MJK

∴ m∠MJK = 2 m∠KJL

∴ m∠ MJK = 2 × 31° = 62°

∵ m∠MJK = m∠KLM ⇒ opposite angles in the rhombus

∴ m∠KLM = 62°

5 0
4 years ago
Heather bought 7 cases of water for $38.50. How much did each case cost?
mr Goodwill [35]

38.50/7 = $5.50 for each cases of water Heather bought.

7 0
2 years ago
Read 2 more answers
A cylindrical soup can has a height of 8 in. and a radius of 3in. If the height is doubled on a second soup can, what will be th
kykrilka [37]

Answer:

The ratio of the volumes of the two soup cans is 2.

Step-by-step explanation:

The volume of a cylinder can be written as:

V=\pi r^2h

where r is the radius of the base and h is the height.

If the height of the second cylinder doubles the height of th first cylinder, the ratio of volume between the second and the first cylinder is:

\dfrac{V_2}{V_1}=\dfrac{\pi r^2 h_2}{\pi r^2 h_1}=\dfrac{\pi r^2 (2h)}{\pi r^2 h}=\dfrac{2}{1}=2

The ratio of the volumes of the two soup cans is 2.

6 0
3 years ago
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