Choose the graph below that correctly represents the equation 3x + 9y = −18. (5 points)

Mathematics

1 answer:

Tju [1.3M]2 years ago

5 0

Answer:

the line through the points negative 6 comma 0 and 0 comma negative 2

Step-by-step explanation:

Rewrite the equation to something you are familiar with such as the slope intercept form; y = mx + b. This means you need to solve for y.

3x + 9y = -18 --- divide everything by 3.

x + 3y = -6

3y = -6 - x

y = -2 - 1/3x

your slope is -1/3 and your y intercept is - 2.

remember, y-intercept is when x = 0. therefore, when x = 0, y = -2.

write as an ordered pair (0, -2). the only option that has (0, -2) is the second one.

Therefore, the line through the points negative 6 comma 0 and 0 comma negative 2.

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Someone please help i am very confused.

Inessa [10]

Answer:

Rectangle A's length = 22 ft., Rectangle B's length = 44 ft.

Step-by-step explanation:

Since we know that the length of Rectangle B is twice the length of Rectangle A, we know that 2*(3x + 7) = Rectangle B's length.

We must set this equation to the dimensions already given for Rectangle B, which gives us 2(3x + 7) = 2 (5x - 3).

Using the distributive property gives us 6x + 14 = 10x - 6 and solving for x gives us x = 5.

We must plug five into the original dimensions to find that the lengths of Rectangles A and B are 22 feet and 44 feet respectively.

4 0

2 years ago

What is the answer to this somebody!!!

Fed [463]

Use the geometric mean for right triangles as the sides are related to the hypotenuse. 30 - 6 = 24. We need that for our proportion. $\frac{24}{x}=\frac{x}{30}$ . We cross-multiply to get $x^2=720$ . Taking the square root of both sides gives us that $x=12\sqrt{5}$ , the second choice above.