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3 years ago

What is the slope of a line passing through (5, 9) and (7, 15)?

Mathematics

1 answer:

LenaWriter [7]3 years ago

6 0

Slope = change in y / change in x

= (15 - 9) / (7 - 5)

= 6 / 2

= 3

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Find an equation to the line perpendicular to 4x + 36y =80 an goes through the point (3,6) write answer in form y= Mx+b

Veronika [31]

Answer:

$\textbf{y = 9x + 21 }\\$

Step-by-step explanation:

$\textup{Given equation is: $4x + 36y = 80 $}\\\textup{This can be written in the form of $y = mx + a$ as follows}\\$ 36y = -4x + 80 $\\$ \implies y = \frac{80}{36} - \frac{4}{36}x $\\$ \implies y = \frac{-1}{9}x + \frac{20}{9} $\\\textup{This means that the slope of this line is $m = \frac{-1}{9}$}\\$

$\textup{Then the slope of the line perpendicular to this line would be \textbf{negative reciprocal of m}.}\\$i.e.,$ \textup{Slope of the perpendicular line would be $m_1 = \frac{-1}{\frac{-1}{9}}$}\\$\implies m_1 = 9$\\$

$\textup{The perpendicular line passes through the point $(3,6)$}\\\textup{Using the \textbf{point-slope formula}, we get:}\\$

$$$ y - y_1 = m(x - x_1) $$$ \implies y - 6 = 9(x - 3) $\\\textup{After solving this reduces to $y = 9x + 21$ }$

8 0

3 years ago

Simplify the following expression 5^2-4/5+2

Sever21 [200]

26 1/5 is the answer i got

8 0

3 years ago

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PLEASE HELP. I HAVE LIMITED TIME.

Lana71 [14]

I think this is it, but i’m not sure about the last one

3 0

2 years ago

These questions are really important for me to answer please guys help me

marysya [2.9K]

Answer:

$\cos(41 = adj \div hyp$

$\cos(41) = \frac{y}{30cm}$

$y = \cos(41) \times 30$

y=29.62017

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2 years ago

D'Quans grandmother made a quilt for his bed.the quilt is 2.44 meters long and 1.83 meters wide.what is the area of the quilt in

Ede4ka [16]

The best way to do this is to first change each of the measurements into feet and then calculate the area:

2.44m = 8.01ft
1.83m = 6.00ft

When multiplied together (to give the area) we get:

8.01*6.00 = 48.1ft²

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3 years ago

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