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4 years ago

7

Tom has a can of paint That covers 37 and a 1/2 m² each board on the fence has an area of 3/16th square meters how many boards c

an he paint

1 answer:

Nutka1998 [239]4 years ago

3 0

Answer:

200

Step-by-step explanation:

3/16= .1875

Take the amount of paint you have, 37.5, and divide it by the amount of space, .1875

37.5/.1875= 200

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line m contains the points -3,4 and 1,0. write the equation of a line that would be perpendicular to this one and pass through t

castortr0y [4]

The equation of line perpendicular to line containing points (-3, 4) and (1, 0) and passes through (-2, 6) in point slope form is y = x + 8

<h3><u>Solution:</u></h3>

Given that line m contains points (-3, 4) and (1, 0)

We are asked to find the equation of line perpendicular to line containing points (-3, 4) and (1, 0) and passes through (-2, 6)

<em><u>Let us first find slope of the line "m"</u></em>

Given two points are (-3, 4) and (1, 0)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$\left(x_{1}, y_{1}\right)=(-3,4) \text { and }\left(x_{2}, y_{2}\right)=(1,0)$

$m=\frac{0-4}{1-(-3)}=-1$

Thus slope of line m is -1

We know that <em>product of slope of given line and perpendicular line are always -1</em>

So, we get

$\begin{array}{l}{\text { slope of line } m \times \text { slope of perpendicular line }=-1} \\\\ {-1 \times \text { slope of perpendicular line }=-1} \\\\ {\text { slope of perpendicular line }=1}\end{array}$

So we have got the slope of perpendicular line is 1 and it passes through (-2, 6)

Let us use the point slope form to find the required equation

<em><u>The point slope form is given as:</u></em>

$y - y_1 = m(x - x_1)$

$(x_1, y_1) = (-2, 6)$ and m = 1

y - 6 = 1(x - (-2))

y - 6 = x + 2

y = x + 8

Thus equation of required line in point slope form is y = x + 8

7 0

3 years ago

Help help help helpppp

BARSIC [14]

Answer:

x = 20

Step-by-step explanation:

The 3 angles lie on a straight line and sum to 180° , that is

3x + 80 + 2x = 180

5x + 80 = 180 ( subtract 80 from both sides )

5x = 100 ( divide both sides by 5 )

x = 20

6 0

2 years ago

Read 2 more answers

a quantity with an initial valuve of 390 decays continuously at a rate of 5% per decade what is the value of the quantity after

pogonyaev

Answer:

4695.90

Step-by-step explanation:

The exponential growth function is given as:

y = a(1 + r)^t

a = Initial value = 390

y = Value after time t = ?

r = Growth rate = 5% = 0.05

t = Time in years =51

Hence

y = 390(1 + 0.05)⁵¹

y = 4695.9002123

Approximately = 4695.90

5 0

3 years ago

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Find the x-intercept of the line 5× - y =10

LenKa [72]

Answer:

(2,0)

Step-by-step explanation:

To find the x intercept, set y =0 and solve for x

5x-y =10

5x -0 = 10

5x=10

Divide by 5

5x/5=10/5

x=2

(2,0)

4 0

4 years ago

After a history test with 20 questions, the teacher asks his students to write down the number of the questions that was the mos

asambeis [7]

Answer:

i think it would be d

Step-by-step explanation:

the median is just the middle of the numbers, it doesnt say which is the hardest question though

hope this helps.

4 0

3 years ago

Read 2 more answers