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Marrrta [24]
3 years ago
11

What method can you use to find the area of the composite figure? Select three options.

Mathematics
1 answer:
Llana [10]3 years ago
5 0

Answer:

Decompose the figure into two rectangles and add the areas.

Step-by-step explanation:

We can draw a vertical line segment from the smaller section of the rectangle straight down.  This would cut the rectangle into 2 smaller rectangles.  We can then find the area of each rectangle and add them to find the area of the composite figure.

brainliest :)

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Consider the linear function y = 5x + 12 and the linear function represented by the table of values below.
Ostrovityanka [42]

Answer:

(a) and (f)

Step-by-step explanation:

Given

y = 5x + 12

See attachment for table and options

First, we calculate the slope of the table

m = \frac{y_2 - y_1}{x_2 - x_1}

Using:

(x_1,y_1) = (2,29)

(x_1,y_1) = (4,53)\\

So, we have:

m = \frac{53- 29}{4 - 2}

m = \frac{24}{2}

m = 12

The equation is then calculated using:

y = m(x -x_1) + y_1

This gives:

y = 12*(x -2) + 29

y = 12x -24 + 29

y = 12x+5

So, we have:

y = 5x + 12 --- The given equation

and

y = 12x+5 --- The equation of the table

An equation is represented as:

y = mx + b

Where:

m = slope or rate of change

b = y intercept

So, for the given equation: y = 5x + 12

Rate of change = 5

y intercept = 12

For the table: y = 12x+5

Rate of change = 12

y intercept = 5

In conclusion:

(a) y = 12x+5 has the greater rate of change:

and

(f) y = 5x + 12 has the greater y intercept

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3 years ago
A system of equations is shown below. Which of the following statements describes the graph of this system of equations in the (
ollegr [7]

The given system of equations represent a single line with positive slope. So option C is correct.

<u>SOLUTION: </u>

Given system of equations are

\begin{array}{l}{3 y-5 x=15 \rightarrow(1)} \\\\ {6 y-10 x=30 \rightarrow(2)}\end{array}

Now, if we observe, (1) \times 2 \rightarrow(2) multiplying the 1^{st} equation with 2 results in 2^{nd} equation.

which means the two line equations represents the same line.

Now, let us find the slope of line, \text { slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-3}{-5}=\frac{3}{5}=\text { positive slope }

So, the line has a positive slope.

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Answer:

Option D.

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