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kondaur [170]
4 years ago
15

Line JK passes through points J(–4, –5) and K(–6, 3). If the equation of the line is written in slope-intercept form, y = mx + b

, what is the value of b?
Mathematics
1 answer:
Vlada [557]4 years ago
3 0
The value of b is -21. To find the slope of the line use the slope formula: \frac{y^2 - y^1}{ x^{2} - x^1}. The slope is -4. Then you plug in one coordinate to find the value of b.
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Which number line model represents the expression -4+7.5?
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The volume of a 10 ounce box of cheerios is 258.75in3. the length of the box is 4 inches less than the height and the width is 3
Marina86 [1]

Answer:

Height of the box = 11.5 in

Step-by-step explanation:

Let h be the height of the box.

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Given:

Length = Height - 4 = h - 4

Width = 3 in

We need to find the height of the box.

Solution:

We know that the volume of the box.

Volume = Length\times height\times width

Substitute all given value in above formula.

258.75 = (h-4)\times h\times 3

Rewrite the equation as:

258.75 = 3h(h-4)

258.75 = 3h^2-12h

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whole equation divided by 3.

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Use quadratic formula with a = 1, b = -4,c=-86.25

h=\frac{-b\pm \sqrt{(b)^{2}-4ac}}{2a}

Put these a, b and c value in above equation.

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h=\frac{4\pm \sqrt{16+345}}{2}

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h=\frac{4\pm 19}{2}

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h=\frac{23}{2}  

h = 11.5 in

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h=\frac{-15}{2}

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We take positive value of h.

Therefore, the height of the box h = 11.5 in

4 0
3 years ago
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