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tangare [24]
3 years ago
9

Find the equation of the line through (- 7, - 2) that is perpendicular to the line y = x/3 + 6 .

Mathematics
1 answer:
frez [133]3 years ago
7 0

Answer:

y+3x+23=0

Step-by-step explanation:

From y = x/3 + 6 comparing with general equation of a line, y = mx +c

m1 = 1/3

Perpendicularity rule states that m1m2 = -1

m2 = -1/1/3 = -1 * 3/1 = -3

The equation is

y-y1 = m2(x-x1)

y-(-2) = -3(x-(-7))

y+2 = -3(x+7)

y+2 = -3x-21

y = -3x-21-2

y= -3x-23

y+3x = -23

y+3x+23=0

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(b) Express the number 17<br> (i) in base 2<br> (ii) in base 5
Nimfa-mama [501]

Answer:

Step-by-step explanation:

IF 17 is in base 10

THEN

17₁₀ = 1 x 10¹ + 7 x 10⁰

10001₂ = 1 x 2⁴ + 0 x 2³ + 0 x 2² + 0 x 2¹ + 1 x 2⁰

32₅ = 3 x 5¹ + 2 x 5⁰

5 0
2 years ago
Donna needs to memorize words on a vocabulary list for Korean class. She has memorized 36 of the words, which is three-fourths o
Taya2010 [7]

Hi There!

Donna needs to memorize words on a vocabulary list for Korean class. She has memorized 36 of the words, which is three-fourths of the list. How many words are on the list

36 / 3 = 12

12 * 4 = 48

There are 48 words on the list.

Hope This helps :)

7 0
2 years ago
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Shelly got 60 questions correct on her math test.If she got 75% how many questions were on the test?
vekshin1
There were 80 questions on the test.

5 0
2 years ago
6) Find the measure of ∠G.
topjm [15]

Answer:

m<G = 71

Step-by-step explanation:

Find x first

7x + 1 + 6x - 6 + 55 = 180

Combine like terms:

13x + 50 = 180

      - 50    - 50

13x = 130

/13     /13

x = 10

Then apply to problem

7 (10) + 1

70 + 1

= 71

8 0
2 years ago
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Determine the value of Y.
aleksandr82 [10.1K]

Answer:

y=10°

Step-by-step explanation:

Here,

→(3x+18)°=(5x-4)°

→18°+4°=5x-3x

→22°=2x

→x=11°

Also,

3(4y+3)°+5x-4°=180°[The sum of the linear pair is 180°]

12y+9°+5x-4°=180°

12y+5°+5×11°=180°

12y+5°+55°=180°

12y=180°-60°

12y=120°

y=120°/12

y=10°

7 0
1 year ago
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