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3 years ago

Coefficient of x^2(px^2+4x+r)×(4x^2-3qx-5)

Mathematics

1 answer:

tankabanditka [31]3 years ago

4 0

Step-by-step explanation:

left side of the expression has an x^2 term, x term and constant(x^0 term), same for the right side of the expression

x^2 coefficient = p(-5) + 4(-3qx) = -5p -12qx

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A rectangle is 6yards longer than it is wide. Find the dimensions of the rectangle if it’s area is 187 square yards

emmasim [6.3K]

Answer:

Width = 11 yards

Length = 17 yards

Step-by-step explanation:

First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where <em>w</em> is width, and <em>l</em>, for length.

We know the area of a rectangle is A = width x length

For our case 187 = w . (w + 6)

Using the Distributive Property for the multiplication we obtain

$187 = w^{2} +6w$

$w^{2} +6w-187 =0,$

Using the quadratic formula $w=\frac{-b\±\sqrt{b^{2}-4ac } }{2a}$ where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:

$w=\frac{-6\±\sqrt{6^2-4(1)(-187)} }{2(1)}$

$w=\frac{-6\±\sqrt{36+748} }{2}=\frac{-6\±\sqrt{784} }{2}=\frac{-6\±28}{2}$

We have two options: $w=\frac{-6+28}{2}=\frac{22}{2}=11 yards$

$w=\frac{-6-28}{2}=\frac{-34}{2}=-17 yards$ But a distance (width) can not be negative so, this answer for w must be discarded.

The answer must be width = 11 yards.

To find the length $l =\frac{187}{11}=17 yards$

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3 years ago

Write an equation to help sage determine how many servings of potatoes she can prepare

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3 years ago

at five pm a four foot mailbox casts a shadow six feet long at the same time a tree cast a shadow 36 feet Long bhow tall is the

Andrej [43]

So the 4ft mailbox’s shadow was six feet. That 2ft longer. According to my logic if the tree had a showdown of 36ft we subtract 2ft. The trees actual size is 34ft.

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2 years ago

What is the variables on both sides equations? 3x - 6 = 7x + 1

nlexa [21]

Answer:

3x-6=7x+1

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=> (-4)x=7

=>x = 7/4 = 1.75

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3 years ago

Find the measure of each angle indicated. Show work.

kirza4 [7]

Answer:

? = 109 degrees

Step-by-step explanation:

45 + 75 + _ = 180 ( look for vertical angles)

45 + 75 + 60 = 180

60 +79 + _ = 180 (look for a straight line that forms 180 degrees)

60 + 79 + 41 = 180

68 + 41 + _ = 180 (look for a triangle that adds up to 180)

68 + 41 + 71 =180

180 - 71 = 109 (look for a linear pair)

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2 years ago

Coefficient of x^2(px^2+4x+r)×(4x^2-3qx-5)​

Coefficient of x^2(px^2+4x+r)×(4x^2-3qx-5)