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3 years ago

The answer to number 27

Mathematics

1 answer:

vovikov84 [41]3 years ago

4 0

Area = Length x width.

30 = w x 3w +1

Simplify:

3w^2 + w = 30

Subtract 30 from both sides:

3w^2 + w -30 =0

Factor

(w-3)(3w+10) = 0

Solve for the w's:

w = 3 and x = -3 1/3

Since the number cant be negative w = 3

The width = 3 cm.

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3 years ago

Write an equation in slope-intercept form for the line passing through the following pair of points: (2, -6), -4, 3).

saveliy_v [14]

The equation in slope intercept form is $y=-\frac{3}{2} x-3$

Explanation:

The given pair of points are $(2,-6)$ and $(-4,3)$

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$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substituting the points $(2,-6)$ and $(-4,3)$ in the slope formula, we have,

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The equation in slope intercept form can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting $m=-\frac{3}{2}$ and the point $(2,-6)$ in the above formula, we get,

$y+6=-\frac{3}{2} (x-2)$

$y+6=-\frac{3}{2} x+3$

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3 years ago

When 0.5(20x – 50y + 36) – 0.25(–100x + 40y – 12) is simplified, what is the resulting expression?

stiks02 [169]

Answer:

solution,

$0.5(20x - 50y + 36) - 0.25( - 100x + 40y - 12) \\ = 10x - 25y + 18 + 25x - 10y + 3 \\$

Combine the like terms:

$= 10x + 25x - 25y - 10y + 18 + 3 \\$

Simplify:

$35x - 35y + 21$

Hope this helps...

Good luck on your assignment...

6 0

3 years ago