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erica [24]
3 years ago
13

If a scale factor between zero and one is used, the dilation will shrink the pre-image.

Mathematics
1 answer:
Leona [35]3 years ago
3 0

Answer:

If this is a true or false thing, then it's true.

Step-by-step explanation:

You multiply the scale factor by the points of the pre-image, so if the scale factor is between 0 and 1, the pre-image will shrink.

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write and equation for the line in point-slope form that passes through (2,-5) and is perpendicular to the line 2x-4y+8=0​
Ivenika [448]

bearing in mind that perpendicular lines have negative reciprocal slopes, hmmm what's the slope of the equation above?

\bf 2x-4y+8=0\implies -4y=-2x-8\implies y = \cfrac{-2x-8}{-4} \\\\\\ y = \cfrac{-2x}{4}-\cfrac{8}{-4}\implies y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{2}}x+2\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{1}{2}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{2}{1}}\qquad \stackrel{negative~reciprocal}{\cfrac{2}{1}\implies 2}}

so we're really looking for the equation of a line whose slope is 2 and runs through (2,-5),

\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{-5})~\hspace{10em} \stackrel{slope}{m}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{2}(x-\stackrel{x_1}{2}) \\\\\\ y+5=2x-4\implies y=2x-9

4 0
3 years ago
How do I explain this
Sidana [21]

Answer:

I dont know

Step-by-step explanation:

I would help but I'm only in 8th grade and I need points to ask a question

4 0
3 years ago
Ou are taking a​ multiple-choice test that has 4 questions. Each of the questions has 3 answer​ choices, with one correct answer
STALIN [3.7K]

Answer:

In 256 ways

Step-by-step explanation:

The number of answer choices will be; 4 * 3 = 12 answer choices

Okay, so per question we have 4 choices

The number of ways we can answer the first question is 4 ways since there are 4 choices

For the second question, 4 ways also

For the third 4 ways

And for the last question, four ways too

So the number of ways to correctly answer the question will be ;

4 * 4 * 4 * 4 = 256 ways

3 0
3 years ago
Reflect figure E across the x-axis and then reflect across the y-axis. What is the resulting figure?
Andreas93 [3]

Answer:

2nd option, rectangle B

Step-by-step explanation:

After reflexion, the figure will be at the left side of x=-5

3 0
3 years ago
The domain of the function in interval notation is
Mrac [35]

Domain: (-∞,∞)

Range: (-∞,1]

8 0
3 years ago
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