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4 years ago

2-3*(z-5)+11=4 what is the value of z

Mathematics

1 answer:

wel4 years ago

6 0

2-3(z-5)+11=4

Distribute

2-3z+15+11=4

Move the constants to gether but make sure they keep thei signs

2+15+11-3z=4

Simplify

28-3z=4

Start to Isolate the variable by subtracting 28 from both sides of the equation

-3z=-24

Completely isolate the variable by deviding the whole equation by -3

z=8

If you would like anything explained, just ask

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Write a system of equations for (4,-3)

qaws [65]

y = 4x - 3 would be it !!!!

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3 years ago

Con

mr Goodwill [35]

Answer:

The coordinates of E are $E(x,y) = \left(\frac{9}{2}, 0 \right)$ .

Step-by-step explanation:

The triangle ABC represents a right triangle as both sides AB and AC are orthogonal to each other. The side AB is in the y axis, whereas the side AC is in the x axis. The triangle is dilated with respect to the origin, in which point A is set.

Vectorially speaking, dilation is defined by the following operation:

$P'(x,y) = O(x,y) + k\cdot [P(x,y) - O(x,y)]$ (1)

Where:

$O(x,y)$ - Point of reference.

$P(x,y)$ - Original point.

$P'(x,y)$ - Dilated point.

$k$ - Dilation factor.

By applying this operation, point B becomes point D:

$B(x,y) = (0,4)$ , $D(x,y) = (0,6)$

$D(x,y) = (0,0) + k\cdot [(0,4)- (0,0)]$

$D(x,y) = (0,0) + k\cdot (0,4)$

$(0,6) = (0,0) +(0,4\cdot k)$

$(0, 6) = (0,4\cdot k)$

$k = \frac{3}{2}$

Lastly, we transform point C into point E by applying the same operation: $C(x,y) = (3, 0)$ , $O(x,y) = (0,0)$ and $k = \frac{3}{2}$

$E(x,y) = (0,0) + \frac{3}{2}\cdot [(3,0)-(0,0)]$

$E(x,y) = \left(\frac{9}{2}, 0 \right)$

The coordinates of E are $E(x,y) = \left(\frac{9}{2}, 0 \right)$ .

8 0

3 years ago

Whats the common factor of 18,27

Leviafan [203]

Well, it depends, there may be multiple common factors, if it's the greatest common factor, then there is only one. The way to do this is to list all the factors of each number.

So Factors of

18: 1,2,3,6,9,18

27: 1,3,9,27

Common Factors : 1, 3, 9

Greatest Common Factor: 9

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3 years ago

If c=4 and the problem is c to the third power/2 what is the answer?

tiny-mole [99]

$c=4\\\frac{c^3}{2}\\\frac{(4)^3}{2}\\\frac{64}{2}\\32$

When c = 4 and it is applied to this equation, the answer is 32.

⭐ Answered by Hyperrspace (Ace) ⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

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Lillie jogs 1/2 mile in 1/10 hour what is Lilli's rate in miles per hour

Goshia [24]

U technecally wrote the answer

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