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Alenkasestr [34]
3 years ago
11

Describe two different ways to solve -10=1/4(8y-12)

Mathematics
1 answer:
Anna007 [38]3 years ago
6 0
Multiple both sides by 4 and then solve or distribute on the right side and then solve
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WILL MARK BRANLIEST AND THANK! 10 POINTS, EASY QUESTION!!
elena-14-01-66 [18.8K]

Answer: 2±√3 and 1/(2±√3)

This might seem wrong, but you'll understand when you read the explanation.

Step-by-step explanation:

For this problem, you can write 2 equations to find the two numbers. Let's establish x for the first number and y for the second number.

Equation 1:

x+y=4

This equation comes from the problem that says the 2 numbers add up to 4.

Equation 2:

x*y=1

This equation comes from the part that says multiplies to 1.

Even if the problem states that the numbers can be negative, it is tricking us. We know in order for the product of 2 numbers to be positive, it has to be +*+ or -*-. Since the added numbers have to be +4, we know we cannot use -1 and 1 as our answer. What we can do is to use substitution to solve for x and y.

x+y=4 becomes y=4-x

We can substitute this into equation 2.

x(4-x)=1

4x-x²=1

4x-x²-1=0

-x²+4x-1=0

Since this equation is not factorable, we use the quadratic equation, \frac{-b±\sqrt{b^2-4ac} }{2a} (<em>Please ignore the weird looking A that's in front of the ± sign. I don't know what's wrong with the system, but it's not supposed to be there)</em>

We plug our a, b, c into the equation and get x=2±√3.

Now that we know our x, we can plug it into any of the above equations.

(2±√3)(y)=1

y=1/(2±√3)

Our final 2 numbers are 2±√3 and 1/(2±√3)

4 0
3 years ago
What is the sum of -2/3 and -4/6? i just want the answer
ddd [48]

Answer: A

Step-by-step explanation:

-2/3+(-4/6)

= -2/3 -2/3

=(-2-2)/3

=-4/3

3 0
3 years ago
Complete the inequality statement with the symbol that makes it true.
OLga [1]
Equal because these numbers are of the same value
7 0
3 years ago
A cylinder has a height of 12 inches and a radius of 1.5 inches. What is its voulme? Round your answer to the nearest tenth. Use
Lerok [7]

Answer:

It's volume is of 84.78 cubic inches.

Step-by-step explanation:

Volume of a cylinder:

The volume of a cylinder with radius r and height h is given by:

V = \pi r^2h

A cylinder has a height of 12 inches and a radius of 1.5 inches.

This means that h = 12, r = 1.5

What is its volume?

V = \pi r^2h = 3.14(1.5)^2(12) = 84.78

It's volume is of 84.78 cubic inches.

6 0
2 years ago
2.What is the factored form of x^2 + 6x + 8?
Nonamiya [84]
2. x^2 +6x +8 = (x+4)(x+2)

3. x^2 -7x +12 = (x-4)(x-3)

4. g^2 -2g -24 = (g+4)(g-6)

hope helped 
8 0
3 years ago
Read 2 more answers
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