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2 years ago

The data shown in the table below can be

Mathematics

1 answer:

nignag [31]2 years ago

8 0

Hello there! The missing y-values are 12, 14, and 16.

Given all our x-values and two additional y-values, we can see that multiplying the x-value by 2 gives us the y-value. This is shown when x is 5 and 9, because multiplying 5 by 2 gave us 10, and multiplying 9 by 2 gave us 18. Because of this rule, we can multiply each given x-value by 2 to receive our y-value. Once solving, we also notice that the y-values all add by 2 to get the next factor as the data number increases. Hope this helps!

You might be interested in

Mr. Smith drew an obtuse triangle with side lengths of 4 cm, 6 cm, and 8 cm. In addition to being an obtuse triangle, what kind

Ulleksa [173]

Answer:

Scalene

Step-by-step explanation:

With this question, it's best to draw it out or we can use process of elimination.

We can rule out Right as the triangle is already obtuse (it can't be both).

We can rule out Equilateral as all the sides are not equal.

We can also rule out Isosceles as this triangle requires 2 sides to be equal, which clearly, they aren't.

Therefore, we are left with Scalene (C) which is your answer.

A scalene triangle has no identical sides or angles, and can be obtuse, right or acute.

Hope this helps,

Cate

3 0

3 years ago

The length of a rectangle is twice its width. The perimeter of the rectangle is 126ft.

umka21 [38]

Alright, so let's make the length x and the width y. 2y=x, and xy=area. 2x+2y=perimeter. Plugging 2y=x into the perimeter equation, we get that 3x=perimeter=126, and x=126/3=42

Length=42ft, width=21ft

8 0

3 years ago

The point A(–1, 4) is translated five units right and three units down. Which rule describes the translation?

lozanna [386]

Answer: SECOND OPTION.

Step-by-step explanation:

Given the following point identified as "A":

$A(-1,4)$

You can identify that the x-coordinate of the point is:

$x=-1$

And its y-coordinate is:

$y=4$

According to the exercise, this point is translated five units right and three units down. This means that, in order to find the new coordinates, you need to add 5 to the original x-coordinate and subtract 3 from the original y-coordinate.

Therefore, you can conclude that the rule that best describe the translation of the point $A(-1,4)$ is the following:

$(x,y)$ → $(x+5,y-3)$

Then, the point translated is:

$A'(-1+5,\ 4-3)$ → $A'(4,1)$

6 0

3 years ago

Read 2 more answers

3. Given AB with coordinates A(-4,5) and B(12,13). Find the horizontal distance and the vertical

SCORPION-xisa [38]

The required distance would be 17.88 units coordinates A(-4,5) and B(12,13) and the horizontal distance is 16 units and the vertical distance is 8 units from A to B which are determined by the graphing method.

<h3>What is the distance between two points?</h3>

The distance between two points is defined as the length of the line segment between two places representing their distance.

Given AB with coordinates A(-4,5) and B(12,13).

The formula of the distance between two points is A(x₁, y₁) and B(x₂, y₂) is given by: d (A, B) = √ (x₂ – x₁)² + (y₂ – y₁) ².

x₁ = -4, y₁ = 5

x₂ = 12, y₂ = 13

distance = √ (12 – (-4))² + (13 – 5)²

distance = √ (12 + 4)² + (8)²

distance = √ (16)² + (8)²

distance = √ (256 + 64)

distance = √320

distance = 17.88 units

The horizontal distance is 16 units and the vertical distance is 8 units from A to B which are determined by the graphing method.

Learn more about the distance between two points here:

brainly.com/question/15958176

#SPJ1

6 0

1 year ago

Write the equation of the line in slope-intercept form.

Ymorist [56]

Answer:

y = 1/40x + 20

Step-by-step explanation:

Slope-intercept equation format:

y = mx + b

m = slope/ gradient/ constant of variation/ rate of change

b = y-intercept

To find the slope, use the formula:

$\frac{y_2-y_1}{x_2-x_1}$

Find two random points:

1 - (0.5, 40) , 2 - (1, 60)

Plug in:

$\frac{60-40}{1-0.5}$

Solve:

$\frac{20}{0.5}$

Divide:

$\frac{1}{40}$

The y-intercept is when the x-coordinate is equal to 0.

The y-intercept is always the beginning.

So observing the graph, the first point is (0, 20)

The x-coordinate is 0.

Y intercept = 20.

Plug in both slope and y-intercept:

y = 1/40x + 20

8 0

2 years ago