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Lady_Fox [76]
2 years ago
13

Using the distributive property to find the product (y−4x)(y2 4y 16) results in a polynomial of the form y3 4y2 ay−4xy2−axy−64x.

what is the value of a in the polynomial? 4 8 16 32
Mathematics
1 answer:
torisob [31]2 years ago
3 0

The product  (y−4x)(y^2 + 4y + 16) results in a polynomial of the form y3 4y2 ay−4xy2−axy−64x then the value of a is 16.

<h3>What is distributive property?</h3>

The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is

A(B + C) = AB + AC

This property is known by distributive law and applies to subtraction also.

First let w = y-4x make distribution a bit easier

(y−4x)(y^2 + 4y + 16)

w(y^2 + 4y + 16)\\wy^2 + w4y + w16\\

now put the values of w in the equation

(y-4x)y^2 + (y-4x)4y +  (y-4x)16\\y^3-4xy^2 + 4y^2-16xy+16y-64x\\

Here the value of a is 16.

Learn more about the distributive property:

brainly.com/question/26207297

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A telephone pole has a wire attached to its top that is anchored to the ground. the distance from the bottom of the pole to the
kirza4 [7]

The height of the pole is 96 feet

In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the legs a, b and the hypotenuse c, often called the Pythagorean equation:[1]

a^{2}+b^{2}=c^{2},

Create a diagram of the scenario first. You would have a right triangle with a hypotenuse (longest side) of h + 4, a longest leg of h - 68, and one leg of length h to represent the pole.

Set up the equation h^2 + (h - 68)^2 = (h + 4)^2 using the Pythagorean theorem (a^2 + b^2 = c^2).

h^2 + (h - 68)^2 = (h + 4)^2

On simplifying we get

h^2+h^2-136h+4624 = h^2+8h+16

2h^2-136h+4624=h^2+8h+16

h^2-144h+4608=0

Solving using quadratic formula

h_{1,\:2}=\frac{-\left(-144\right)\pm \sqrt{\left(-144\right)^2-4\cdot \:1\cdot \:4608}}{2\cdot \:1}  

h_1=\frac{-\left(-144\right)+48}{2\cdot \:1},\:h_2=\frac{-\left(-144\right)-48}{2\cdot \:1}

h1 = 96 feet , h2 = 48 feet

If height would have been 48 feet then the other side would have a negative value as as 48 - 68 = -20 .

Hence the height of the pole is 96 feet

Learn more about Pythagoras theorem here :

brainly.com/question/343682

#SPJ4

7 0
2 years ago
Can someone please help me?
timama [110]
I pretty sure your answer is yes but correct me if i’m wrong
6 0
3 years ago
Would the hypotenuse of a right triangle with a vertical length of 6 and a horizontal length of 10 have the same slope as the hy
Elodia [21]
No

1. Vertical 6, horizontal 10
6/10 = 3/5 slope

2. (Red) vertical -2, horizontal 3
-2/3 does not equal 3/5

3. (Blue) vertical 4, horizontal 6
4/6 = 2/3 but does not equal 3/5
3 0
3 years ago
if the net from the two triangles are the right triangles all quadrilaterals what is its surface area in square units?
erica [24]

Step-by-step explanation:

The total surface area is 168 square units.

8 0
3 years ago
A patio has an area of 1420 square feet. If the length is 45 1/2, what is the width​
Anni [7]

[ Answer ]

\boxed{Width \ = \ 31\frac{19}{91} \ Ft^{2}}

[ Explanation ]

Area = 1420

Width = 45\frac{1}{2}

Area For Rectangle: Length · Width

Use division to find width:

1420 ÷ 45\frac{1}{2}

Convert mixed numbers to fractions:

1420 = \frac{1420}{1}

45\frac{1}{2} = \frac{91}{2}

\frac{1420}{1} ÷ \frac{91}{2}

Use mixed multiplication:

\frac{1420*2}{1*91}

= \frac{2140}{91}

Simplify:

= 31\frac{19}{91}

\boxed{[ \ Eclipsed \ ]}

7 0
3 years ago
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