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1 year ago

Create the equation of the line that passes through the point (1, -10) and is perpendicular to y=-1/3x+5

Mathematics

1 answer:

Ber [7]1 year ago

4 0

Answer:

y = 3x - 13

Step-by-step explanation:

y = -1/3x + 5

Perpendicular lines have slopes that are negative reciprocals of one another

so slope of perpendicular line is 3

y = mx + b

y = 3x + b

Using (1,-10)

-10 = 3(1) + b

-10 = 3 + b

b = -13

y = 3x - 13

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In the accompanying diagram of rectangle ABCD, diagonal AC is drawn, DE = 8, DE 1 AC, and m2 DAC = 55. Find the area of rectangl

Aneli [31]

Answer:

sin (55) = DE / AD

AD = DE / sin (55)

AD = 8 / sin (55)

And

tan (55) = DC / AD

tan (55) = DC / [8 / sin (55) ]

DC = 8 tan (55) / sin (55)

AD * DC =

[8 /sin (55) ] [ 8 tan (55) / sin (55) ] = 136 units^2

Step-by-step explanation:

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2 years ago

What is 5/6 mutlipulyed by 2 2/3

melisa1 [442]

Answer:

20/9

Step-by-step explanation:

Turn 2_2/3 into fraction.

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2 years ago

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Veronika [31]

1 + 3 + 5 + 7 + 9 = 25
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2 years ago

Find the volume of the cone round to the nearest tenth

svlad2 [7]

Answer:

pi*2^2*2sqrt3/3

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2 years ago

(2 tens 1 one)x10 in unit form and standard form

omeli [17]

When the number expression given as (2tens 1 one) x 10 is written in standard form, the standard form is 210 and the unit form is 2 hundred, and 1 ten

<h3>How to write the number in standard form?</h3>

The number expression is given as:

(2tens 1 one) x 10

2 tens is represented as:

2 * 10

1 one is represented as:

1 * 1

So, the number expression can be rewritten as:

(2tens 1 one) x 10 = (2 * 10 + 1 * 1) x 10

Evaluate the product

(2tens 1 one) x 10 = (20 + 1) x 10

Evaluate the sum

(2tens 1 one) x 10 = (21) x 10

Evaluate the product

(2tens 1 one) x 10 = 210

When the number expression given as (2tens 1 one) x 10 is written in standard form, the standard form is 210 and the unit form is 2 hundred, and 1 ten

Using the above steps as a guide, we have:

(5 hundreds 5 tens) * 10 ⇒ 5 thousands and 5 hundreds ⇒ 5500
(2 thousands 7 tens) / 10 ⇒ 2 hundreds and 7 units ⇒ 207
(4 ten thousands 8 hundred) / 10 ⇒ 4 thousands and 8 tens ⇒ 4080