MATHEMATICS HIGH SCHOOL

Factor completely 2x2 − 6x − 56.(2x − 14)(x + 4)
(x − 7)(2x + 8)
2(x − 7)(x + 4)
2(x − 4)(x + 7)

Answers

Answer 1
Answer:

The factors of the given expression are (x-7)(2x+8). Therefore, option B is the correct answer.

The given expression is 2x²-6x-56.

How do factor the quadratic expression?

Factoring an expression means rewriting it as the product of factors.

  • Write each term as the prime factorization.
  • Identify the factors that all of the terms have in common.
  • Multiply those common factors.

Now, the factorisation of the given expression is as follows:

By splitting the middle term method we can write the expression 2x²-6x-56 as 2x²-14x+8x-56.

=2x(x-7)+8(x-7)

=(x-7)(2x+8)

Therefore, option B is the correct answer.

To learn more about the factorisation visit:

brainly.com/question/13496719.

#SPJ2
Answer 2
Answer: 2x^2 - 6x - 56
2 (x^2 - 3x - 28)

2 (x - 7)(x + 4)

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Pyramid ABCDE is a square pyramid.

What is the lateral area of pyramid ABCDE ?

Answers

Answer:

A. 256√(3)\text{ in}^2

Step-by-step explanation:

Please find the attachment.

We have been given an image of a square pyramid ABCDE. We are asked to find the lateral area of pyramid.

First of all we need to find the height of pyramid.

The lateral height of the pyramid will be the length of altitude drawn from the lateral face of pyramid to the base of pyramid.

Since the base of pyramid is square, so the length of segment CM will be half the length of BC that is 16.

Since tangent relates the opposite and adjacent sides of a right triangle, so we can find the lateral height as:

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(60^(\circ))=(AM)/(8)

√(3)=(AM)/(8)

√(3)* 8=(AM)/(8)* 8

8√(3)=AM

\text{Lateral surface area of pyramid}=(1)/(2)*pl, where,

p = Perimeter of the base,

l = Lateral or slant height.

\text{Lateral surface area of pyramid}=(1)/(2)*4*16*8√(3)

\text{Lateral surface area of pyramid}=2*16*8√(3)

\text{Lateral surface area of pyramid}=256√(3)

Therefore, the lateral surface area of our given pyramid is 256√(3) square inches and option A is the correct choice.

Answer:

256√3 in^2.

Step-by-step explanation:

tan 60 = lateral height of 1 face / 8

Lateral height = 8 tan 60 = 8√3

Area of 1 face = 8 * 8√3 = 64√3

Lateral Area = 4 * 64√3 = 256√3 in^2

What is 8 increased by 25%?? If you can answer quicker, that would be awesome!! Have a great day!!

Answers

In order to find what 8 is with a 25% increase
First lets find out what 25% of 8 is

So in order to find it we multiply 25% by 8 
to make things easier we change the 25% to a decimal
25% = 0.25 

Now we can multiply.
0.25 x 8 = 2 

So since this is a increase we take 8 and add our 25% 
25% of 8 = 2 
we want an extra 25% with 8
so we add!

8 + 2 = 10

Answer = with a 25% increase 8 becomes 10 
We simply add 25% of 8 too 8 :P
doesn't makes sense?
its okay ill explain it you :)

First step we need to multiply 8 and 25%
of course 25% = 0.25 
soooo
8 x 0.25 = 2

Second step we add 2 and 8 
soooo
8 + 2 = 10 

So your final answer is 10
:P

Divide. (6a4 + 2a3) ÷ 2a

Answers

(6a^4+2a^3):2a=(6a^4+2a^3)/(2a)=(6a^4)/(2a)+(2a^3)/(2a)=3a^3+a^2\n\n\nD:a\neq0

The ordered pairs (1, 81), (2, 100), (3, 121), (4, 144), and (5, 169) represent a function. What is a rule that represents this function?

Answers

The answer is y=(x+8)^2 

Solve the equation: 6x - 4 + 2(5x + 2) = 16x*1.) 0
2.) 1
3.) -2
4.) Infinitely Many
5.) No Solution

Answers

The answer is that there is no solution.

The problem would be 16x = 16x so there is no solution.

8
1 point
Find the area. Answer without units.'
7 ft
8 ft.

Answers

Answer:

A = l*w

A= 7*8

A= 56

56 is the area
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