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insens350 [35]
3 years ago
15

Can someone please help me: Slove 17+3(z-2)-11z=-7(z+2)+14

Mathematics
2 answers:
gayaneshka [121]3 years ago
4 0

Answer:

z = 11

Step-by-step explanation:

Simplifying

17 + 3(z + -2) + -11z = -7(z + 2) + 14

Reorder the terms:

17 + 3(-2 + z) + -11z = -7(z + 2) + 14

17 + (-2 * 3 + z * 3) + -11z = -7(z + 2) + 14

17 + (-6 + 3z) + -11z = -7(z + 2) + 14

Combine like terms: 17 + -6 = 11

11 + 3z + -11z = -7(z + 2) + 14

Combine like terms: 3z + -11z = -8z

11 + -8z = -7(z + 2) + 14

Reorder the terms:

11 + -8z = -7(2 + z) + 14

11 + -8z = (2 * -7 + z * -7) + 14

11 + -8z = (-14 + -7z) + 14

Reorder the terms:

11 + -8z = -14 + 14 + -7z

Combine like terms: -14 + 14 = 0

11 + -8z = 0 + -7z

11 + -8z = -7z

Solving

11 + -8z = -7z

Solving for variable 'z'.

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

Add '7z' to each side of the equation.

11 + -8z + 7z = -7z + 7z

Combine like terms: -8z + 7z = -1z

11 + -1z = -7z + 7z

Combine like terms: -7z + 7z = 0

11 + -1z = 0

Add '-11' to each side of the equation.

11 + -11 + -1z = 0 + -11

Combine like terms: 11 + -11 = 0

0 + -1z = 0 + -11

-1z = 0 + -11

Combine like terms: 0 + -11 = -11

-1z = -11

Divide each side by '-1'.

z = 11

Simplifying

z = 11

Cloud [144]3 years ago
4 0
Z equals 11 you’re welcome mark me brainliest
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NemiM [27]
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3 years ago
Line segment GT contains the point G(−3, 5) and a midpoint at A(1, −4). What is the location of endpoint T?
algol [13]

Imagine you're moving along the segment. Since the midpoint is in the middle of the segment (obviously), it means that when you've traveled from G to A, you're halfway through your journey, along both x and y directions. So, let's break the problem in two and analyze both directions.


Along the x axis, you've moved from -3 to 1, so you moved 4 units forward. This means that you have 4 units still to go, and your journey will end at coordinate 5.


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6 0
3 years ago
URGENT! PLEASE ANSWER IF YOU ACTUALLY KNOW THE ANSWER!
Pie

Using translation concepts, the coordinates that will best represent point E′ are given by:

D. (11, 1).

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the rule to find the image of a point (x,y) is given by:

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Then, the rule to find the image E' of point E(3,-4) is given by:

(3,4 -> (3 + 8, -4 + 5) = (11,1).

Hence option D is correct.

More can be learned about translation concepts at brainly.com/question/4521517

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