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Wewaii [24]
3 years ago
11

The length of a rectangle is 3 m less than twice the width, and the area of the rectangle is 14 m2 . find the dimensions of the

rectangle.
Mathematics
1 answer:
PIT_PIT [208]3 years ago
4 0
Let W = width and L = length  length is 3 less than twice width  ==>  L = 2*W - 3 Area = L*W = (2*W-3)*W = 14 
2*W^2 -3*W - 14 = 0
(2W - 7)*(W + 2) = 0 
2W - 7 = 0  or  W + 2 = 0
W = 7/2  or  W = -2
Width cannot be negative so W = 7/2 = 3.5
So L = 2*(7/2) - 3 = 7 - 3 = 4 The length is 4 m and the width is 3.5 m   Check:  2*(3.5) - 3 = 4, length is 3 less than twice width
 
Area = L*W = 4*3.5 = 14 m^2 
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3 0
3 years ago
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On a coordinate plane, a parabola opens up. It goes through (negative 2, 4), has a vertex at (0.25, negative 6), and goes throug
serg [7]

The statements true about the the function f(x) = 2x2 – x – 6 are-

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<h3>What is vertex of parabola?</h3>

The vertex of parabola is the point at the intersection of parabola and its line of symmetry.

Now the given function is,

f(x) = 2x^2 – x – 6

Also, it is given that the vertex is located at (0.25, -6)  and the parabola opens up, the function has two x-intercepts.

Comparing the given function with standard form,

f(x) = a x^2 bx + c

By comprison we get,

a = 2

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Now, x-coordinate of vertex is given as,

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Put the value of x in given function, so y-coordinate of the vertex is given as,

f(1/4) = 2(1/4)² - 1/4 - 6

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Hence, The statements true about the the function f(x) = 2x2 – x – 6 are-

  • The vertex of the function is (one-quarter, negative 6 and one-eighth).
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More about vertex :

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3 0
1 year ago
Shawn planned to run 4.2 miles every day, but yesterday he only had time to run 0.2 of that distance. How far did Shawn run yest
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Answer:

That would be 4.0

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if you have 4.2 take away 0.2 that would be 4.0

4.2

0.2

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4.0

Hope this helped regards

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2 years ago
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3 years ago
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Can someone plzz help me wit #2 plzz
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F = \frac{s+24}{3}

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