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2 years ago

Write an equation in point-slope form that has a y-intercept at (0, 12) and also contains the point (1,2)

Mathematics

1 answer:

harkovskaia [24]2 years ago

6 0

Answer:

y-2=-10(x-1).

Step-by-step explanation:

The point slope form is y-y_1 = m(x-x_1). Now we find the slope, which is 2-12 (-10)/1-0(1). This gives us -10. Now we plug the coordinates from one of the points and the slope to get y-2=-10(x-1).

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A vegetable garden and a surrounding as a shaped like a square that together a 11 ft wide. The path is 2 feet wide. If one bag o

Alexxandr [17]

Answer:

$\displaystyle 4$

Step-by-step explanation:

we are given that A vegetable garden and a surrounding as a shaped like a square that together a 11 ft wide. The path is 2 feet wide.since together the width of Vegetable garden and path is 11 ft, the width of the vegetables garden will be the difference between the total width and the width of path Thus,

$\displaystyle \rm W _{ garden} = 11 - 2$

simplify substraction:

$\displaystyle \rm W _{ garden} = 9$

recall that, every single side of a square is equal to each other therefore the the area of the garden will be

$\displaystyle {9}^{2}$

simplify square:

$\displaystyle 81$

together the garden and path makes a square of every side length 11 ft saying that the area will be:

$\displaystyle {11}^{2}$

simplify square:

$\displaystyle 121$

the area of path will be the difference between the total area and the garden area therefore,

$\displaystyle 121 - 81$

simplify addition:

$\displaystyle 40$

to figure out how many bags are needed to cover the path. we just need to divide the area of the path by the area of a bag of gravel and that yields:

$\displaystyle \frac{40}{10}$

simplify division:

$\displaystyle \boxed{\rm4}$

hence,

4 bags are needed to cover the path.

7 0

3 years ago

The team’s ratio of games won to games played was 3 to 8. If the team played 88 games, how many games did the team win? a. 11 ga

Gwar [14]

The correct answer would be B because 88 divided by 11 would be 8 and therfore it would justift that the ration would be equal to 88:33

6 0

3 years ago

Read 2 more answers

25x = 125x + 3 x = −10 x = −9 x = −3 x = 3

ICE Princess25 [194]

Answer:

x=-9

Step-by-step explanation:

first you make the coefficients equal to each other by doing a common factor which in this case is 5. Then you have to do the variable for each time the common number is repeated which is 5^x * 5^x= 5^(x+3)*5^(x+3)*5^(x+3) This would make it equal to 5^2x=5^(3x+9). Since the non exponents are common factors you can get rid of them and solve for the exponent by doing 2x=3x+9. You solve that equation to get x=-9.

8 0

3 years ago

What is the 8th term of 6,2,2/3

devlian [24]

Answer:

2/729

Step-by-step explanation:

I think that is the answer I hope it helps

3 0

3 years ago

How to find the gradient of line segment joining each pair of points?

yarga [219]

Answer:

1/3

Step-by-step explanation:

A(xA, yA) = A (3,1)

B(xB,yB)=B(5,5)

the gradient=(yB-yA)/ (xB-xA)=(5-1)/(5-3)=4/2=2

C(4,7),D(10,9)

the gradient=(yD-yC)/(xD-xC)=(9-7)/(10-4)=2/6=1/3

6 0

3 years ago