Answer:
in the ordered pair; ( x = 27/4 , y = 1/4 )
Step-by-step explanation:
Given that:
The system of the equation shown below is:
-2x - 14y = 10
2x + 2y = 14
We are to use the elimination method to determine the ordered pair.
From the above equation:
-2x - 14y = 10 --- (1)
2x + 2y = 14 --- (2)
Add both equation 1 and 2 together in order to eliminate x, then we can solve for y first.
-2x - 14y = 10
<u> 2x + 2y = 14 </u>
<u> 0 - 16y = -4 </u>
<u />
- 16 y = - 4
divide both sides by - 16, Then:
-16y /-16 = -4/-16
y = 1/4
Since y = 1/4, Then from equation (2), x will be :
2x + 2y = 14
2x + 2(1/4) = 14
2x + 1/2 = 14
2x = 14 - 1/2
2x = 13.5
x = 13.5/2
x = 27/4
Thus, in the ordered pair; ( x = 27/4 , y = 1/4 )
The area of the shaded portion inside the given triangle is; 1254 square meters
<h3>How to find the area of shaded portion?</h3>
Looking at the given image, we can say that;
Area of Shaded Portion = Area of Triangle - Area of Circle
Area of Triangle = ¹/₂ * 56 * 56
Area of Triangle = 1568 m²
Area of Circle = πr²
Area of Circle = π * (20/2)²
Area of Circle = 314 m²
Thus;
Area of Shaded Portion = 1568 m² - 314 m²
Area of Shaded Portion = 1254 square meters
Read more about Area of Shaded Portion at; brainly.com/question/10090807
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X=4 lmk what you need help on!
Answer:
The linear function is y = 44 + 24x
The rate of change of the linear function is 44.
Step-by-step explanation:
Hannah already had 44 photos in her camera so this is the initial value of the linear function.
She took 24 photos each day for 6 days. Which means she took:
24 x 6 = 144 photos in those 6 days.
We multiplied 24 with the number of days she took the photos so, considering 'x' as the number of days we can write '24x' to represent the number of photos she took. the linear function can be represented as:
y = 44 + 24x
To find out the rate of change, we need to differentiate this equation. So,
The rate of change of the linear function is 44.
Answer:
y= -1/3x +5
Step-by-step explanation:
Using the equation y=mx+b
you know <em>m</em> (slope), which is -1/3
you also know your <em>b</em> which is 5
You get y= -1/3x+5