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katen-ka-za [31]
3 years ago
6

-10y<60 (Please solve and show work)

Mathematics
2 answers:
erma4kov [3.2K]3 years ago
7 0
Y can realistically be any positive number, since a negative number multiplied by a positive number's product is negative. a negative number will always be less than a positive number, in this case the positive number being 60.

<span>a negative number multiplied by another negative number's product is positive, so as long as the negative numbers are less than -6 (because -10 times -6 is 60, and 60 is not less than 60) y can be negative.</span>


I hope this helps!
LekaFEV [45]3 years ago
3 0
When you divide or multiply by a negative, flip the sign
divide both sides by -10
flip sign

y>-6
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Find the volume of the box in cubic inches.
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1 foot is 12 inches

Thus 2 feet is 24 inches

Substitute values into equation:

volume = 24 x 24 x 24

volume = 13824

Your answer is option D

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3 years ago
Diagram shows two perpendicular straight lines,OB and CBD,drawn on a Cartesian plane.
Tems11 [23]

Answer: (a) y = -3x + 10

               \bold{(b)\x=\bigg(\dfrac{10}{3},0\bigg)}  

<u>Step-by-step explanation:</u>

The slope of line CD is perpendicular to line OB, which means they have opposite and reciprocal slopes.

Step 1: Find the slope of OB using the formula: m=\dfrac{y_2-y_1}{x_2-x_1}

(x₁, y₁) = (0, 0) and (x₂, y₂) = (3, 1)

m=\dfrac{1-0}{3-0} = \dfrac{1}{3}

Step 2: Find the slope of CD (opposite and reciprocal of OB)

m = \dfrac{1}{3}\qquad m_\perp=-\bigg(\dfrac{3}{1}\bigg) = -3

Step 3: Input the perpendicular slope and the slope into the Point-Slope formula: y - y₁ = m(x - x₁)

(x₁, y₁) = (3, 1) because it is the point the line will pass through

y - 1 = -3(x - 3)

y - 1 = -3x + 9      <em>distributed -3 into (x - 3)</em>

y      = -3x + 10    <em>added 1 to both sides</em>

***********************************************************************

The x-intercept of DQ is the same x-intercept as CD.  The x-intercept is when y = 0

y = -3x + 10

0 = -3x + 10

-10 = -3x       subtracted 10 from both sides

\dfrac{10}{3}=x    <em>divided both sides by -3</em>


3 0
3 years ago
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Answer:

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