<span>Let x = the width
:
It says,"The length of a rectangle is 4 less than 3 times the width." write that as:
L = 3x - 4
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If the perimeter is 40, find the dimensions of the rectangle.
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We know: 2L + 2W = 40
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Substitute (3x-4) for L and x for W
2(3x-4) + 2x = 40
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6x - 8 + 2x = 40; Multiplied what's inside the brackets
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6x + 2x = 40 + 8; do some basic algebra to find x; (added 8 to both sides)
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8x = 48
:
x = 48/8
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x = 6 which is the width
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It said that L = 3x - 4, therefore:
L = 3(6) - 4
L = 18 - 4
L = 14; is the length
:
Check our solutions in the perimeter:
2(14) + 2(6) =
28 + 12 = 40</span>
Step-by-step explanation:
1cm = 16 km
Distance between York and London = 23.1 cm
<em>Now the real distance between </em><em>York </em><em>and </em><em>London </em><em>=</em><em> </em><em>2</em><em>3</em><em>.</em><em>1</em><em> </em><em>*</em><em> </em><em>1</em><em>6</em>
<em>=</em><em> </em><em>3</em><em>6</em><em>9</em><em>.</em><em>6</em><em> </em><em>km </em>
Hello there! Your answer would be y = 0.5x - 3.
To find the equation, use slope intercept form, y = mx + b. <em>(m = slope, b = y intercept)</em>
For the slope, solve by subtracting the y values over the x values.
- 5 - - 3 / 0 - 4
- 2 / - 4
The negatives cancel out, and you are left with 0.5 as your slope. Plug that into m.
y = 0.5x + b
Now to find the y intercept. To do this, we can replace the x and y values into the equation and solve for b.
-5 = 0.5(4) + b
-5 = 2 + b
- 3 = b
so, the y intercept has a value of -3. Plug that in to the final equation.
y = 0.5x - 3
Hope this helps and have a great day!
Answer: 1 meter squared
Step-by-step explanation: 1 meter by one meter is one meter squared
