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storchak [24]
3 years ago
10

What value of x makes this equation true? 5-2(x + 8) = 6x + 7

Mathematics
1 answer:
zhuklara [117]3 years ago
4 0

Answer:

x = negative 9/4

Step-by-step explanation:

-2x-11=6x+7

-2x-11+11=6x+7+11

-2x=6x+18

-2x-6x=6x+18-6x

-8x=18

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podryga [215]

Answer:

About 432 people read at least one book per month.

Step-by-step explanation:

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3 years ago
Determine a series of transformations that would map polygon ABCDE onto polygon A’B’C’D’E
zalisa [80]

Answer:

Reflected across x-axis followed by a dilation with a scale factor of 2 about the origin.

Step-by-step explanation:

It's clear from the graph,

Polygon ABCDE is reflected across x-axis then dilated so that it overlaps polygon A'B'C'D'E'

Let's choose a point A having coordinates (-2, -1)

By reflecting point A across x-axis,

Rule to be followed for the reflection,

(x, y) → (x, -y)

By this rule, coordinates of the image point A will be,

A(-2, -1) → A"(-2, 1)

Now point A"(-2, 1) has been dilated by a scale factor = k to form an image points A'(-4, 2).

Rule for the dilation of a point about the origin is,

A"(x, y) → A'(kx, ky)

A"(-2, 1) → A'(-2k, k)

Since, coordinates of point A' are (-4, -2),

Therefore, -2k = -4

k = 2

k = 2

Hence, polygon ABCDE was reflected across x-axis followed by a dilation with a scale factor of 2 about the origin to form polygon A'B'C'D'E'.

3 0
3 years ago
How do I solve x-11/2<-7
Mekhanik [1.2K]

Answer:

x < -3

Step-by-step explanation:

1. multiply both sides by 2

2. isolate the x by adding 11 to both sides

3. simplify

(i have included an attachment showing the work for clarification)

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