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4 years ago

Subtract the following polynomials. 3.1x + 2.8z 4.3x - 1.2z PLEASE HELP

Mathematics

1 answer:

Assoli18 [71]4 years ago

7 0

Answer:

3.1x+2.8z

3.1 over 10x +14 over 15 z

1 over 10 x (3.1x + 2.8z)

4.3x - 1.2z =

43 over 10x - 6 over 5z

1 over 10 x (43x-12z)

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Write the equation in slope-intercept form and find the equation of a line through the given point (a) parallel and (b) perpendi

skelet666 [1.2K]

keeping in mind that parallel lines have the same exact slope, hmmm what's the slope of 4x - 2y = 3 anyway? well, let's put it in slope-intercept form firstly.

$\bf 4x-2y=3\implies 4x-3=2y\implies \cfrac{4x-3}{2}=y
\\\\\\
\cfrac{4x}{2}-\cfrac{3}{2}=y\implies \stackrel{slope}{2}x-\cfrac{3}{2}=y$

so we're looking for a line whose slope is 2 and passes through 2,1.

$\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{1})~\hspace{10em}
slope = m\implies 2
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-1=2(x-2)
\\\\\\
y-1=2x-4\implies \blacktriangleright y=2x-3 \blacktriangleleft$

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}}
{\stackrel{slope}{2\implies \cfrac{2}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{2}}}
\\\\[-0.35em]
\rule{34em}{0.25pt}$

$\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{1})~\hspace{10em}
slope = m\implies -\cfrac{1}{2}
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-1=-\cfrac{1}{2}(x-2)
\\\\\\
y-1=-\cfrac{1}{2}x+1\implies \blacktriangleright y=-\cfrac{1}{2}x+2 \blacktriangleleft$

4 0

3 years ago

What is the least common denominator for the fractions 5/6 and 4/5 ?

laila [671]

C.30 because if u multiply the denominators you get 30 not the other numbers

5 0

4 years ago

Caroline wants to give 8 equal size packets of flower seeds to her friend . She has 1/2 pound of flower seeds . How much will ea

snow_tiger [21]

Each packet will equal to weigh a total of

1/16 of a pound.

This is because 1/2 a pound divided by 8 packets equals to 1/16 of a pound.

4 0

4 years ago

Read 2 more answers

Log8 (t) - log8 (5) = 1

djyliett [7]

Answer:

t = 40

Step-by-step explanation:

Given the logarithmic expression: $log_8 (t) - log_8 5= 1$

Use the Logarithmic Property (Quotient Rule):

$log_b a - log_b c = log_b (\frac{a}{c})$

$log_8 (t) - log_8 5 = log_8 (\frac{t}{5}) = 1$

Next, using the Logarithmic Property: $log_b b= 1$

We must determine the possible value of t that can be divided by 5 to produce a quotient of 8 that will make the logarithmic property, $log_b b= 1$ , true. In that case, t = 40 divided by 5 results in a quotient of 8.

$log_8 (t) - log_8 5 = log_8 (\frac{t}{5}) = log_8 (\frac{40}{5}) = log_8 8 = 1$

Therefore, the value of t = 40.

4 0

3 years ago

What is 10 to the negative fifth power

lianna [129]

−105

=−105

=−1*105

=−1*(10*10*10*10*10)

=−100000

HOPE THIS HELPS!

3 0

3 years ago