The perimeter (distance around the shape) of a rectangle is 40 cm. The length is 14 cm.
1 answer:
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<h3>Answer:</h3>
<em>Try the answers</em>
You can try the answers to see what works. You can expect all of the choices to match the first two terms, so try some farther down. Let's see if we can get -25 from -7.
a) 3*(-7) -4 = -21 -4 = -25 . . . . this one works
b) -7 -2 = -9 . . . . ≠ -25
c) -3(-7) +2 = 21 +2 = 23 . . . . ≠ -25
d) -2(-7) +1 = 14 +1 = 15 . . . . ≠ -25
The formula that works is the first one.
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<em>Derive it</em>
All these formulas depend on the previous term only, so we can write equations that show the required relationships. Let the unknown coefficients in our recursion formula be p and q, as in ...
Then, to get the second term from the first, we have
... 1·p +q = -1
And to get the third term from the second, we have
... -1·p +q = -7
Subtracting the second equation from the first gives ...
... 2p = 6
... p = 3 . . . . . . . this is sufficient to identify the first answer as correct
We can find q from the first equation.
... q = -1 -p = -1 -3 = -4
So, our recursion relation is ...
Answer:
Both lines are equal (they are the same)
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Step-by-step explanation:
Given
Required
What is true about graph of both lines
<em>Questions like this are better solved when there's option(s) to select from. However, some of the properties of line equation that I'll consider are to check if both lines are either parallel or perpendicular</em>
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To do this,
The first thing to do is to calculate the slope of both lines
Add 8 to both sides
Divide both sided by 3
The slope of the line is the coefficient of x;
Solve for the y intercept; <em>Let x = 0</em>
Solve for the x intercept; <em>Let y = 0</em>
Subtract from both sides
Subtract both sides by
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Divide both sides by 6
Simplify fractions to lowest term
The slope of the line is the coefficient of x;
Solve for the y intercept; <em>Let x = 0</em>
Solve for the x intercept; <em>Let y = 0</em>
Subtract from both sides
Subtract both sides by
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By comparing the slope, x intercept and y intercept of both lines;
It'll be observed that they have the same slope, x intercept and y intercept
<em>This implies that both lines are equal; in other words, they are the same.</em>