Answer:
The dimensions of the rectangle are length = 7cm and width = 6cm.
Step-by-step explanation:
In order to solve for the dimensions, you will need to set up two equations in order to solve for the missing variable. Given the information that the length is 5 cm less then twice it's width, using 'L' for length and 'w' for width we get the following equation: L = 2w - 5. Perimeter is the sum of all the sides, or in the case of a rectangle P = 2w + 2L. We can then use our expression for 'L' in our perimeter formula: 26 = 2w + 2(2w - 5). First, using the distributive property we get: 26 = 2w + 4w - 10. Next, we combine like terms: 26 = 6w - 10. Then, we use inverse operations to isolate the variable: 26 + 10 = 6w - 10 + 10 to get 36 = 6w, divide both sides by 6 to get w = 6. Lastly, plug in the value of 'w' to 'L': L = 2(6) - 5 or L = 7.
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<em>This " / " means or, btw!</em>
<em>Step-by-step explanation:</em>
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<em>⇒Take square root.</em>
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<em>Hope this helped you!</em>
Given:
The x and y axis are tangent to a circle with radius 3 units.
To find:
The standard form of the circle.
Solution:
It is given that the radius of the circle is 3 units and x and y axis are tangent to the circle.
We know that the radius of the circle are perpendicular to the tangent at the point of tangency.
It means center of the circle is 3 units from the y-axis and 3 units from the x-axis. So, the center of the circle is (3,3).
The standard form of a circle is:
Where, (h,k) is the center of the circle and r is the radius of the circle.
Putting 
, we get
Therefore, the standard form of the given circle is .
The subtraction property of inequality can be used to proof that x = 7 from x + 8 = 15
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Given that x + 8 = 15
Hence:
x + 8 - 8 = 15 - 8 (subtraction property of inequality)
x = 7
The subtraction property of inequality can be used to proof that x = 7 from x + 8 = 15
Find out more on equation at: brainly.com/question/2972832
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Answer:
Behavioral modality of measurement
Step-by-step explanation:
Observing a 3rd grade student for 30 minutes as to how many time he leaves his seat without permission is a clear example of using behavioral modality of measurement.
In this modality of measurement the behavior of the object or system is observed when it is put into action.
This example shows as to what will happen or what is supposed to take place when a 3rd grade student is is seated and observed for 30 minutes. It counts as to how many times he leaves his seat in reaction to his stimulus from the environment.
