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daser333 [38]
3 years ago
14

identify an equation in point slope form for the line perpendicular to y=5x=2 that passes through (-6,-1)

Mathematics
1 answer:
Naya [18.7K]3 years ago
5 0

Answer:

y=-1/5x-11/5

Step-by-step explanation:

perpendicular, product of both gradients = -1

hence, slope = -1/5

y=-1/5x+c

sub y=-1, x=-6

-1=-1/5(-6)+c

c = -1-6/5=-11/5

y=-1/5x-11/5

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WILL GIVE BRAINLIEST
SVETLANKA909090 [29]

Answer:

The correct option is A.

Step-by-step explanation:

If a line passes through two points (x_1,y_1) and (x_2,y_2), then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

Let y be the profit (in millions) after x years.

From the given graph it is clear that the line passes through the point (1,-100).

The company paid for these costs and made combined profits of $80 million after 4 years. It means the graph passes through the point (4,80).

The line passes through (1,-100) and (4,80). So, the equation of line is

y-(-100)=\frac{80-(-100)}{4-1}(x-1)

y+100=\frac{180}{3}(x-1)

y+100=60(x-1)

y+100=60x-60

Subtract 100 from both sides.

y+100-100=60x-60-100

y=60x-160

The function form is

f(x)=60x-160

Therefore, the correct option is A.

6 0
4 years ago
A hardware store owner is replenishing his stock of base paint for an upcoming home improvement sale. He conducted a survey to d
antiseptic1488 [7]

Solution:

                       Matte Satin    Glossy Total

Homeowners 0.08 0.20 0.24 0.52

Contractors 0.04 0.26 0.18         0.48

Total         0.12         0.46 0.42   1

Approximately what percentage of contractors prefer the glossy finish?

Answer: Percentage of contractors who prefer the glossy finish is:

\frac{0.18}{0.48}=0.375
 or 37.5\%

Therefore, the option D. 37.5% is correct

6 0
3 years ago
Read 2 more answers
A over b is in parentheses with the exponent -4 on the outside then there's another set of parentheses and on the outside of tho
JulijaS [17]

Answer:

1

Step-by-step explanation:

(((a/b)^(-4))^0)=

((b/a)^4)^0)=

((b^4)/(a^4))^0=

1

(ANYTHING to the power of 0 is equal to 1)

7 0
3 years ago
Please help me
Stolb23 [73]

Step-by-step explanation:

option c 120

earning (in$) for 8 dog houses = 40

earning (in$) for 1 dog house= 40/8 = 5

earning (in$) for 24 dog houses= 24×5 = 120

8 0
3 years ago
A child's sandbox has a length of 5 metres and a width of 4 metres. A uniform sidewalk is to be built around the sandbox with pa
igor_vitrenko [27]
5 meters. The area of the sidewalk has to be 10 meters and has to contain the 20 meter sandbox. The total area is thirty meters, so the length and width of the sidewalk is 6x5
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