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Elena-2011 [213]

3 years ago

5

Help please posted picture of question

1 answer:

bagirrra123 [75]3 years ago

6 0

The given equation is:

y = -10x + 1
Slope of this equation = -10

New line will be perpendicular to this line, so slope of new line = 1/10

So, we are to find the equation of a line with slope 1/10 and passing through (5,7). Using the point slope form we can write

y - 7 = 1/10 ( x - 5)
y = x/10 -1/2 + 7
y = x/10 + 13/2
⇒
x/10 - y = -13/2

So option C gives the correct equation of the new line

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Determine whether each expression is equivalent to

larisa [96]

The algebraic expressions, $x + x + y + y + y + y - 5 + x + x + x + 8 - 4y$ and $5x + 3$ are equivalent to $2x + 4y - 5 + 3x + 8 - 4y$

To determine whether each expression is equivalent to $2x + 4y - 5 + 3x + 8 - 4y$ , apply the knowledge of algebra to solve each of the following in it's simplest form.

First, simplify $2x + 4y - 5 + 3x + 8 - 4y$ as follows:

Add like terms

$2x + 4y - 5 + 3x + 8 - 4y\\2x + 3x + 4y - 4y - 5 + 8\\5x + 3$

Next, compare or simplify where necessary each of the given algebraic expressions with $5x + 3$

<em><u>First Option</u></em>

$x + x + y + y + y + y - 5 + x + x + x + 8 - 4y$

Add like terms together

$2x + 4y - 5 + 3x + 8 - 4y\\2x + 3x + 4y - 4y -5+8\\5x + 3$

Therefore, $x + x + y + y + y + y - 5 + x + x + x + 8 - 4y$ is equivalent to $2x + 4y - 5 + 3x + 8 - 4y$

<em><u>Check the box for </u></em><em><u>YES.</u></em>

<u><em>Second Option:</em></u>

<u><em /></u> $6xy + 3 - 4y$ <em> (cannot be simplified further)</em>

<em /> $6xy + 3 - 4y\neq 2x + 4y - 5 + 3x + 8 - 4y$ <em />

Therefore:

<em><u>Leave the box BLANK for </u></em><em><u>NO.</u></em>

<em><u /></em>

<em><u>Third Option:</u></em>

<em><u /></em> $-8y + 5x - 3$ <em><u> </u></em><em>(cannot be simplified further)</em>

<em /> $-8y + 5x - 3 \neq 2x + 4y -5 + 3x + 8 - 4y$ <em />

Therefore:

<em><u>Leave the box BLANK for </u></em><em><u>NO.</u></em>

<em><u /></em>

<u><em>Fourth Option:</em></u>

<u><em /></u> $5x + 3$ <u><em /></u>

<u><em /></u> $5x + 3 = 2x + 4y - 5 + 3x + 8 - 4y$ <u><em /></u>

Therefore:

<em><u>Check the box for </u></em><em><u>YES.</u></em>

<em><u></u></em>

Thus, the algebraic expressions that are equivalent to $2x + 4y - 5 + 3x + 8 - 4y$ are:

$x + x + y + y + y + y - 5 + x + x + x + 8 - 4y$

$5x + 3$

Learn more about algebraic expressions here:

brainly.com/question/15122459

5 0

3 years ago

How do I do this? <br><br>f(a)=4a+5; Find f(2)

Mariana [72]

F(2)=4(2)+5
f(2)=8+5
f(2)=13

6 0

3 years ago

Find the common ratio for the geometric sequence defined by the formula: an=40(2‾√)n−1 a n = 40 ( 2 ) n − 1

WITCHER [35]

The ratio of the geometric sequence 40 $2^{n-1}$ is 2.

Given that geometric sequence is 40* $2^{n-1}$ and we have to find the common ratio of all the terms.

Geometric sequence is a sequence in which all the terms have a common ratio.

Nth termof a GP is a $r^{n-1}$ in which a is first term and r is common ratio.

Geometric sequence=40* $2^{n-1}$

We have to first find the first term, second term and third term of a geometric progression.

First term=40* $2^{1-1}$

=40* $2^{0}$

=40*1

=40

Second term=40* $2^{2-1}$

=40* $2^{1}$

=40*2

=80

Third term=40* $2^{3-1}$

=40* $2^{2}$

=40*4

=160

Ratio of first two terms=80/40=2

Ratio of next two terms=160/80=2

Hence the common ratio of geometric sequence is 2.

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2 years ago

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WINSTONCH [101]

Step-by-step explanation:

A and C are correct options

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2 years ago

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