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pishuonlain [190]
2 years ago
8

For a line that goes through points (2,-2) and (1.-6), what is the equation

Mathematics
1 answer:
Inessa [10]2 years ago
3 0

Answer:

<h2>y + 2 = 4(x - 2)</h2>

Step-by-step explanation:

\text{The point-slope form of an equation of a line:}\\\\y-y_1=m(x-x_1)\\\\m-slope\\(x_1,\ y_1)-point\ on\ a\ line\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\======================================

\text{We have the points:}\ (2,\ -2)\ \text{and}\ (1,\ -6).\\\\\text{Substitute:}\\\\m=\dfrac{-6-(-2)}{1-2}=\dfrac{-4}{-1}=4\\\\y-(-2)=4(x-2)\\\\y+2=4(x-2)

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2 years ago
Kenny is 8 years older than Andrew. Tim is 3 times
9966 [12]

Answer:

Kenny is 18 years old Andrew is 10 years old Tim is 30 years old and Cameron is  5 years old

Step-by-step explanation:

Let a be Kenny's age , b be Andrew's age , c be Tim's age , d be Cameron's age

( b < a , b<c , d<b)

Kenny is 8 years older than Andrewn = > a = b + 8 (1)

Tim is 3 times  as old as Andrew => c = 3 . b (2)

Cameron is 5 years younger than  Andrew => d = b-5 (3)

The combined age of the four is 63 => a+b+c+d = 63 (4)

(1),(2),(3),(4) => b+8 + b + 3b + b-5 = 63 <=> 6b + 3 = 63 <=> b = 10

=> a= 10+8 =18, c = 3 . 10 = 30, d= 5

5 0
3 years ago
The graph compares the weights in pounds of 100 dogs and cats that are brought in to a veterinarian's office.
GenaCL600 [577]
In case of dogs the value 10 is the minimum value. So all the values lie above 10. In total there were 100 dogs.
So for dogs, we can say number of dogs above the value of 10 pound are 100.

In case of Cats, 10 lies at the position of median. Median is the central value and 50% values lie above the median value. So number of cats with weight above 10 pound is 50.

Thus, we can conclude that there were 50 more dogs than the cats with weight over 10 pounds. So option C gives the correct answer.
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3 years ago
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6 0
2 years ago
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Help!!! Find the surface area of the cube shown below
ivanzaharov [21]

Answer:

The answer to your question is 8/3 u²

Step-by-step explanation:

Data

length of the side = 2/3

Surface area = ?

Process

1.- Calculate the area of one face

Area = side x side

-Substitution

Area = 2/3 x 2/3

-Result

Area = 4/9

2.- Calculate the area of the cube (a cube has 6 faces)

Surface area = 4/9 x 6

                     = 24/9

-Simplification

Surface area = 8/3 u²

3 0
3 years ago
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