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Tom [10]
3 years ago
7

List the steps to solve the fol lowing equation: 5x - 6 = 44. Then solve for x

Mathematics
1 answer:
GenaCL600 [577]3 years ago
5 0

Answer:

x = 10

Step-by-step explanation:

Simplifying

5x + -6 = 44

Reorder the terms:

-6 + 5x = 44

Solving

-6 + 5x = 44

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6' to each side of the equation.

-6 + 6 + 5x = 44 + 6

Combine like terms: -6 + 6 = 0

0 + 5x = 44 + 6

5x = 44 + 6

Combine like terms: 44 + 6 = 50

5x = 50

Divide each side by '5'.

x = 10

Simplifying

x = 10

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In a right triangle, if the length of the hypotenuse is 10 and the length of one of the other sides is 6, what is the length of
Andrew [12]

Answer:

8

Step-by-step explanation:

10^2=100 6^2=36 100-36=64 sqrt64=8

4 0
3 years ago
What are the roots of the polynomial equation x3-7x=6x-12?
Ilia_Sergeevich [38]
This is not a polynomial equation unless one of those is squared.  As it stands x=-.833.  If you can tell me which is squared I can help solve the polynomial.

Ok, that is usually notated as x^3 to be clear.   I'll solve it now.

x^3-13x-12=0

Then use factor theorum to solve x^3-13x-12/x+1 =0
So you get one solution of x+1=0
x=-1

Then you have x^2-x-12 now you complete the square.

Take half of the x-term coefficient and square it. Add this value to both sides. In this example we have:

The x-term coefficient = −1

The half of the x-term coefficient = −1/2

After squaring we have (−1/2)2=1/4

When we add 1/4 to both sides we have:

x2−x+1/4=12+1/4

STEP 3: Simplify right side

x2−x+1/4=49/4

STEP 4: Write the perfect square on the left.

<span>(x−1/2)2=<span>49/4
</span></span>

STEP 5: Take the square root of both sides.

x−1/2=±√49/4

STEP 6: Solve for x.

<span>x=1/2±</span>√49/4

that is,

<span>x1=−3</span>

<span>x2=4</span>

<span>and the one from before </span>

<span>x=-1</span>

7 0
4 years ago
Read 2 more answers
Which expression shows the correct multiplication of the following polynomilas? 3x(6x^2-3x+7)
snow_tiger [21]

Answer: 18x^3-9x^2+21x

Solution:

3x(6x^2-3x+7)=

Applying the distributive property in the multiplication to eliminate the parentheses:

(3x)(6x^2)+(3x)(-3x)+(3x)(7)=

(3*6)x^(1+2)+3*(-3)x^(1+1)+(3*7)x=

18x^3-9x^2+21x

8 0
3 years ago
how to factor -9z^2 + 10z - 1 = 0 it’s been a while since i’ve been in school and i can’t seem to remember how please help
vichka [17]

Answer:

z = 1/9   and    z = 1

Step-by-step explanation:

-9 z^{2} + 10z - 1 = 0

(-9z+1)(z-1) = 0

You can check the answer using foil method

Then,

(-9z+1) = 0

-9z = -1

z = 1/9

(z-1) = 0

z = 1

Answers:

z = 1/9

z = 1

7 0
3 years ago
2. Solve for b in the linear equation<br> 6b - 24 = 3(5b - 2)
Step2247 [10]

Answer: b = −2

Step-by-step explanation:

6 0
3 years ago
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