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3 years ago

What is a difference of squares that has a factor of x+8?

Mathematics

2 answers:

klemol [59]3 years ago

8 0

Answer:

its c

Step-by-step explanation:

did it on edgunity

uysha [10]3 years ago

7 0

Answer:

x^2 - 64

Step-by-step explanation:

A difference of squares is a special product in the form (a^2 - b^2)..their factored form is (a - b)(a + b)..

Thus here a = x and b = 8, thus if x + 8 is a factor, then x - 8 is also a factor..

(x + 8)(x - 8) <-- expand this out using difference of squares rules..

= (x)^2 - (8)^2

= x^2 - 64 <-- answer...

You could also expand that using FOIL (FOIL - first, outer, inner, last)..

(x + 8)(x - 8)

= (x)(x) + (x)(-8) + (8)(x) + (8)(-8)

= x^2 - 8x + 8x - 64 <-- the -8x and 8x cancels out..leaving you with..

= x^2 - 64

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If the function h is defined by h(x)=<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D" id="TexFormula1" title="x^{2}" alt="x^{2}" a

harkovskaia [24]

Given:

The function is:

$h(x)=x^2-3x+5$

To find:

The value of $h(2x+1)$ .

Solution:

We have,

$h(x)=x^2-3x+5$

Putting $x=2x+1$ , we get

$h(2x+1)=(2x+1)^2-3(2x+1)+5$

$h(2x+1)=(2x)^2+2(2x)(1)+(1)^2-3(2x)-3(1)+5$

$h(2x+1)=4x^2+4x+1-6x-3+5$

On combining like terms, we get

$h(2x+1)=4x^2+(4x-6x)+(1-3+5)$

$h(2x+1)=4x^2-2x+3$

Therefore, the required function is $h(2x+1)=4x^2-2x+3$ .

3 0

3 years ago

Quadrilateral ABCD is inscribed in this circle.

Sunny_sXe [5.5K]

Answer: $m\angle A=116\°$

Step-by-step explanation:

The missing figure is attached.

For this exercise it is important to remember that, by definition, the opposite interior angles of an inscribed quadrilateral are supplementary, which means that their sum is 180 degrees.

Based on this, you can identify that the angle D and the angle B are opposite and, therefore, supplementary.

Knowing that, you can write the following equation:

$x+28\°=180\°$

Now you must solve for "x" in order to find its value. This is:

$x=180\°-28\°\\\\x=152\°$

Then:

$m\angle D=152\°$

You know that:

$m\angle A=(x-36)\°$

Therefore, since you know the value of "x", you can substitute it into $m\angle A=(x-36)\°$ and then you must evaluate, in order to find the measure of the angle A. This is:

$m\angle A=152\°-36\°\\\\m\angle A=116\°$

4 0

3 years ago

What is the longest flagpole that could be shipped in a box that measures: 1 ft by 2 ft by 12 ft?

klemol [59]

A^2+b^2=C^2
=
4+144=148
The square root of 148 is 12.165
round it down to 12

Hope this helps

4 0

3 years ago

Im really struggling with these questions can anyone help me?

Alchen [17]

Q1
the clothes are on 45% discount, wich mean they become 55% of their original price.

30× 55% =16.5
64×55%=35.2

the new salary is 103% of the original

10×103% = 10.3
11600×103% = 11,948

Q2:

1+0.24= 1.24
1- 0.27= 0.73

86×140%= 120.4
440×119%= 523.6
82×90% = 73.8
480× 73%= 350.4

8 0

3 years ago

The perimeter of the square park is 240m, then the side of the square park is _______.

bagirrra123 [75]

Answer:

side of square = 60 m

Step-by-step explanation:

perimeter of square = 4 × side

so,

=》240 = 4 × side

=》240 / 4 = side

=》 60 m = each side of the square .

i hope it helped..

7 0

3 years ago