Factor each polynomial 5xy-10x

Answers

Answer 1

Answer: $5xy-10x=5x(y-2)\n\ncheck:\n\n5x(y-2)=5x\cdot y+5x\cdot(-2)=5xy-10x$

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Solve z2 – 15z + 56 = 0 using the zero product property. A. z = –5, –2
B. z = 8, 7
C. z = –4, 7
D. z = 8, –4

Answers

Answer: B

Heyy, this is a quadratic equation and I used the null factor law to solve this. So basically, find 2 numbers that multiply together to get 56, e.g. 8x7. But you have to make sure that the 2 numbers you choose add up to 15. Then put it in null factor law form, e.g. (z-8)(z-7)=0. Then just solve for 0. E.g. z-8=0. Which is 8. If you want, you can expand to check if it matches the original equation.. :')

Answer:

Step-by-step explanation:Heyy, this is a quadratic equation and I used the null factor law to solve this. So basically, find 2 numbers that multiply together to get 56, e.g. 8x7. But you have to make sure that the 2 numbers you choose add up to 15. Then put it in null factor law form, e.g. (z-8)(z-7)=0. Then just solve for 0. E.g. z-8=0. Which is 8. If you want, you can expand to check if it matches the original equation.. :')

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How do you solve x^2 plus 16x plus 63=0?

Answers

$x^2+ 16x + 63=0 \n \na=1, \ b=16 , \ c=63 \n \n \Delta =b^2-4ac =16^2 -4\cdot1\cdot 63 = 256 -252 = 4 \n \nx_(1)=(-b-\Delta )/(2a)=(-16-√(4))/(2 )=(-16-2)/(2)=-(-18)/(2)=-9 \n \nx_(2)=(-b+\Delta )/(2a)=(-16+√(4))/(2 )=(-16+2)/(2)=-(-14)/(2)=-7 \n \n \nAnswer : \ x= -7 \ \ or \ \ x= -9$

The volume of cube is 343 cubic centimeters. what is the surface area of the cube? show your work.

Answers

In short, the surface area of the cube is 294cm^2.

To find volume of a cube, a side is multiplied by itself three times. So, we have this so far, let "s" equal a side of the cube... s*s*s or s^3 = volume. But, we have to work backwards to find s. We know the volume is 343 cm^3 and we know to find volume we take a side and multiply it by itself three times, also known as cubing a side.

So, s^3 = 343 cm^3. To find what one s equals, we have to take the cube root of 343. A cube root is the opposite of cubing a side and that's why it works.

Basically, we're trying to find what number times itself three times will equal 343. A cube root of 343 will tell us the answer. So, once we cube root 343, we get 7. This means that 7 is one s or the side length of the cube. Remember, a cube has all equal sides, so 7 is the side lengths for the whole cube.

Now, to find surface area of a cube, the formula is 6*s^2. This means that the side is squared times six. We already know what the side is, 7, and order of operations, PEMDAS, tells us that exponents come before multiplication. So, we have 7^2 which is 49 times 6. 49 * 6 = 294. Hope this helped!

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