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2 years ago

Which of the following equations represents the line that is graphed on the coordinate grid below

Mathematics

1 answer:

vladimir2022 [97]2 years ago

7 0

Answer:

Step-by-step explanation:

the factor of x in the equation is the slope, which is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

going from the left point to the right point x changes by +3 units, and y changes by -1 unit.

so, the slope (and factor of x in the equation) is -1/3.

and the constant term in the equation is the y (axis) intercept of the line.

this is the y value, when x = 0 (intercepting the y axis).

and we see in the graph, when x = 0, the line goes through y = 2.

so, the equation has to be

y = -1/3 × x + 2

therefore, C is the right answer.

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A rectangular garden is 5 ft longer than it is wide. Its area is 1800ft^2. What are its dimensions?

kicyunya [14]

Answer:

The dimensions are 45 feet by 40 feet.

Step-by-step explanation:

Recall that the area of a rectangle is given by:

$\displaystyle A=w\ell$

Where w is the width and l is the length.

The length is five feet longer than the width. Thus, we can write that:

$\ell = w+5$

The total area is 1800 square feet. Substitute:

$1800=w(w+5)$

Solve for w. Distribute:

$w^2+5w=1800$

Subtract 1800 from both sides:

$w^2+5w-1800=0$

Factor. We can use 45 and -40. Hence:

$\displaystyle (w+45)(w-40)=0$

Zero Product Property:

$w+45=0\text{ or } w-40=0$

Solve for each case:

$\displaystyle w=-45\text{ or } w=40$

Since the width cannot be negative, we can ignore the first solution.

So, the width is 40 feet. Since the length is five feet longer, the length is 45 feet.

The dimensions are 45 feet by 40 feet.

3 0

2 years ago

-3/4+p=1/2 what is the answer

Ainat [17]

Answer:

5/4

Step-by-step explanation:

-3/4+p=1/2

+3/4

p=5/4

7 0

3 years ago

Read 2 more answers

Situation 1: Two students, Theo and Lance, each have some chocolates. They know that

vivado [14]

They each have two chocolates so those numbers of chocolates are the same.

Not counting the tubs, Arthur has one bag of chocolates and 25 loose chocolates; Oliver has two bags and 7 loose. If they both have the same total number of chocolates, then the difference in the number of loose chocolates they have (25-7=18) must be the number of chocolates in a bag.

There is no information given, in the problem as you show it, that allows us to determine the number of chocolates in a tub.

Answers: chocolates in a bag: 18. chocolates in a tub: unknown.

4 0

3 years ago

100 POINTS!

steposvetlana [31]

Answer:

Area = 8 sq units

Step-by-step explanation:

Given vertices:

(1, 1),(1, 3),(5, 3),(5, 1)

To figure out area graph the vertices and count how many units are inside.