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Valentin [98]
3 years ago
15

Write the equation of a line that passes the point (-6,9)and is perpendicular to a line that passes through the points (-2,1) an

d (6,7).
Mathematics
1 answer:
stepladder [879]3 years ago
6 0

Answer:

y = 4/3x + 1.

Step-by-step explanation:

The equation of the lines passing through (2,1) and (6,7) is:

y - 7 = (7-1)/(6- -2)(x - 6)

y - 7 = 6/8(x - 6)

y = 3/4(x - 6) + 7

y = 3/4x + 5/2.

So the line perpendicular to it has slope -1/3/4 = -4/3:

y - 9 = -4/3(x  + 6)

y = -4/3 x  - 8 + 9

y = 4/3x + 1.

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sandy had some pineapples at her house. she went to the store and bought 14 more. when she got home she had a total of 43 pineap
EleoNora [17]

She had 29 Pineapples

29+14=43


6 0
4 years ago
Read 2 more answers
The value V of a certain automobile that is t years old can be modeled by V(t) = 14,651(0.81). According to the model, when will
lakkis [162]

Answer:

a) The car will be worth $8000 after 2.9 years.

b) The car will be worth $6000 after 4.2 years.

c) The car will be worth $1000 after 12.7 years.

Step-by-step explanation:

The value of the car after t years is given by:

V(t) = 14651(0.81)^{t}

According to the model, when will the car be worth V(t)?

We have to find t for the given value of V(t). So

V(t) = 14651(0.81)^{t}

(0.81)^t = \frac{V(t)}{14651}

\log{(0.81)^{t}} = \log{(\frac{V(t)}{14651})}

t\log{(0.81)} = \log{(\frac{V(t)}{14651})}

t = \frac{\log{(\frac{V(t)}{14651})}}{\log{0.81}}

(a) $8000

V(t) = 8000

t = \frac{\log{(\frac{8000}{14651})}}{\log{0.81}} = 2.9

The car will be worth $8000 after 2.9 years.

(b) $6000

V(t) = 6000

t = \frac{\log{(\frac{6000}{14651})}}{\log{0.81}} = 4.2

The car will be worth $6000 after 4.2 years.

(c) $1000

V(t) = 1000

t = \frac{\log{(\frac{1000}{14651})}}{\log{0.81}} = 12.7

The car will be worth $1000 after 12.7 years.

5 0
3 years ago
Helpp mee pleaseeeeeeee
mario62 [17]

Answer:

52

Step-by-step explanation:

2((8)+(12)+(6))

2(8+12+6)

2(26)

52

8 0
3 years ago
Heeeeelppp please, :) please
lara [203]

Answer:

7/6

Step-by-step explanation:

In order to find slope when you have two ordered pairs, you use this equation: (y2-y1)/(x2-x1)

In this case, when you plug them in, you get (49-7)/(42-6), which is 42/36, which is 7/6.

Hope this helped :)

4 0
3 years ago
What is the slope intercept form when m = 1/2 &amp; b = 89 ?<br> Helppppppppp
Zina [86]

Answer:

y = \frac{1}{2}x + 89

Step-by-step explanation:

slope-intercept form: y  = mx + b

y = (x , y)

x = (x , y)

m = slope = 1/2

b = y-intercept = 89

Plug in the corresponding numbers & variables to the corresponding variables:

y = (1/2)x + 89

y = \frac{1}{2}x + 89  is your answer.

~

5 0
3 years ago
Read 2 more answers
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