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kari74 [83]
3 years ago
6

Z+(z-6)-2=-10 How donI solve this?

Mathematics
2 answers:
Juli2301 [7.4K]3 years ago
6 0

Answer:

z = -1

Step-by-step explanation:

Simplifying

z + (z + -6) + -2 = -10

Reorder the terms:

z + (-6 + z) + -2 = -10

Remove parenthesis around (-6 + z)

z + -6 + z + -2 = -10

Reorder the terms:

-6 + -2 + z + z = -10

Combine like terms: -6 + -2 = -8

-8 + z + z = -10

Combine like terms: z + z = 2z

-8 + 2z = -10

Solving

-8 + 2z = -10

Solving for variable 'z'.

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

Add '8' to each side of the equation.

-8 + 8 + 2z = -10 + 8

Combine like terms: -8 + 8 = 0

0 + 2z = -10 + 8

2z = -10 + 8

Combine like terms: -10 + 8 = -2

2z = -2

Divide each side by '2'.

z = -1

Simplifying

z = -1

creativ13 [48]3 years ago
3 0

Answer:

z= -1

Step-by-step explanation:

Simplifying

z + (z + -6) + -2 = -10

Reorder the terms:

z + (-6 + z) + -2 = -10

Remove parenthesis around (-6 + z)

z + -6 + z + -2 = -10

Reorder the terms:

-6 + -2 + z + z = -10

Combine like terms: -6 + -2 = -8

-8 + z + z = -10

Combine like terms: z + z = 2z

-8 + 2z = -10

Solving

-8 + 2z = -10

Solving for variable 'z'.

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

Add '8' to each side of the equation.

-8 + 8 + 2z = -10 + 8

Combine like terms: -8 + 8 = 0

0 + 2z = -10 + 8

2z = -10 + 8

Combine like terms: -10 + 8 = -2

2z = -2

Divide each side by '2'.

z = -1

Simplifying

z = -1

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3 years ago
How do you find the quadratic function with vertex (-2,5) and point (0,9)?
Anastaziya [24]

Answer: y = (x +2)² + 5

<u>Step-by-step explanation:</u>

y = a(x - h)² + k <em>where "a" is the leading coefficient and (h, k) is the vertex</em>

Since we don't know "a", we need to plug in the point (x, y) and the vertex (h, k) to solve for "a":  (x, y) = (0, 9) and (h, k) = (-2, 5)

y = a(x - h)² + k

9 = a(0 - (-2))² + 5

9 = a(0 + 2)² + 5

9 = a(2)² + 5

<u>-5 </u>   <u>          -5 </u>

4  =  a(4)

<u>÷4 </u>   <u> ÷4   </u>

 1 = a

Next, plug in "a" and the vertex (h, k):

y = a(x - h)² + k

y = 1(x +2)² + 5

y = (x +2)² + 5


6 0
3 years ago
G=x-c/x. for x<br><br>how do yoy make this an equation for x? help
zzz [600]
1.
\displaystyle \text{if }\quad G=x-  \frac{C}{x} \\\\

x \neq 0

Multiply both sides by x:

\displaystyle Gx=x\bigg(x- \frac{C}{x}\bigg )\\\\Gx=x^2-C

Subtract from both sides Gx:
Gx-Gx=x^2-C-Gx\\x^2-Gx-C=0

Then solve this equation:

\displaystyle x^2-Gx-C=0\\\\x_{1,2}= \frac{G\pm  \sqrt{G^2+4C} }{2}

2.
\displaystyle\text{if}\quad G= \frac{x-C}{x}

x \neq 0

Multiply both sides by x:

Gx=x-C

Subtract from both sides Gx:

x-C-Gx=0

Then solve this equation:

\displaystyle x-Gx-C=0\\x(1-G)=C\\x= \frac{C}{1-G}




7 0
3 years ago
1. Girl Scout Troop 321 started with 25 girls and at the end of the year party there were 31 girls. Gabby
Oksanka [162]

Answer: 24%

Step-by-step explanation:

Since we are informed that the Girl Scout Troop started with 25 girls and at the end of the year party there were 31 girls. The percentage change will be:

= (31 - 25) / 25 × 100

= 6/25 × 100

= 24%

The error that Gabby made was that she used 31 as the base. This is expressed below:

= 31 - 25) / 31 × 100

= 6/31 × 100

= 19.4%

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What is the slope for (5,7) (-4,-2)
Wewaii [24]

Answer:

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Step-by-step explanation:

7 0
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