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azamat
2 years ago
9

A) If the line 2x + 3y -8=0 is perpendicular to the line kx-6y =9 find k.​

Mathematics
1 answer:
blsea [12.9K]2 years ago
3 0

Answer:

k = 9.

Step-by-step explanation:

2x + 3y -8=0

3y = -2x + 8

y = -2/3 x + 8/3

So the slope of this line is -2/3.

Therefore the slope of a line perpendicular to the above is -1 /-2/3

= 3/2.

kx - 6y = 9

6y = kx - 9

y = k/6x - 3/2

But the slope is 3/2,

So k/6 = 3/2

2k = 18

k = 9.

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HELP!!! A cell phone is 132 mm long and 57 mm wide. What is ratio of the width and length in simplest form.
GalinKa [24]

The ratio of width to length in simplest form is 19 : 44

<em><u>Solution:</u></em>

Given that, A cell phone is 132 mm long and 57 mm wide

Length of cell phone = 132 mm

Width of cell phone = 57 mm

We have to find the ratio of width and length in simplest form

\frac{Width}{Length} = \frac{57}{132}\\\\\text{Reduce to lowest terms }\\\\\frac{width}{length} = \frac{57 \div 3}{132 \div 3}\\\\\frac{Width}{Length} = \frac{19}{44}

In ratio form, we know that,

\frac{a}{b} = a : b

Writing in ratio form, we get

Width : length = 19 : 44

Thus the ratio of width to length in simplest form is 19 : 44

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3 years ago
Kaylee made a scale drawing of a house and its lot. The scale of the drawing was 1 inch : 5 feet. If the backyard deck is 7 inch
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Answer:

35 feet

Step-by-step explanation:

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3 years ago
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marta [7]

Answers + Explanation:

1. x + 7 =10

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the other way you can solve this would be:

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2. Use the same strategy:

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Answer:

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As on the R.H.S of the equation, there is one constant and a variable x

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