10x — 12y = 6 5х – бу=3

Mathematics

1 answer:

Anon25 [30]2 years ago

4 0

Answer:

<u>The equations system has multiple solutions for x, y.</u>

Step-by-step explanation:

Let's solve for x and y this equations system:

We can observe that the second equation is a simplification of the first (divided by 2) and therefore, the system has multiple solutions for x and this way:

x y

-27/5 -5

-21/5 -4

-3 -3

-9/5 -2

-3/5 -1

3/5 0

9/5 1

3 2

21/5 3

27/5 4

33/5 5

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Find the area of the shaded portion in each of the following

MrRa [10]

Answer:

30.5 cm^2

Step-by-step explanation:

<h3><u>General outline</u></h3>

Find the area of the full circle
Find the area of the rectangle
Find the difference (full circle area - rectangle area)

<h3><u>Step 1. Find the area of the full circle</u></h3>

Recall the formula for the area of a circle: $A_{circle}=\pi r^2$ where $\pi \approx 3.14$ , and "r" is the radius of the circle (distance from center to any point on the edge).

From the diagram, the radius is 5cm.

$A_{circle}=\pi r^2$

$A_{circle}=(3.14)(5[cm])^2$

$A_{circle}=78.5[cm^2]$

<h3><u>Step 2. Find the area of the rectangle</u></h3>

Recall the formula for the area of a rectangle: $A_{rectangle}=bh$ where "b" is the base of the rectangle (length of bottom or length of top), "h" is the height of the rectangle (distance from bottom to top).