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Mariulka [41]
2 years ago
9

Compute the following products. (4x+5)(4x−5) (4x+5)2

Mathematics
1 answer:
bearhunter [10]2 years ago
3 0
(4x+5)(4x-5) is equal to 16x^2+20x-20x-25
The positive and negative 20x cancel out
Leaving you with: 16x^2 - 25
[S/N this is a pattern that shows up a decent amount. Whenever you have something that looks like (x^2-y^2) it factors out to (x+y)(x-y). It might be helpful to remember]

The next one, (4x+5)2, just follows the distributive property. Multiply both components within the parentheses bye the coefficient of 2: 8x+10
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Solve for the value of x.<br> x + 4°<br> 134°
Juli2301 [7.4K]

Step-by-step explanation:

The answer is 130° since you subtract 4° from both sides

4 0
3 years ago
The table shows three values of x and their corresponding values of f (x) for a linear function f, such that f (r) = 0 and f (0)
Rus_ich [418]

Using a linear function, it is found that the product rs is rs = 81.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, when x changes by 68(from -64 to 68), y changes by -16(from 12 to -4), hence the slope is given by:

m = -16/64 = -0.25.

Hence:

y = -0.25x + b.

When x = 34, y = -4, hence this is used to find b.

-4 = -0.25(34) + b

b = 4.5.

Hence the function is:

y = -0.25x + 4.5.

f(r) = 0, hence:

-0.25x + 4.5 = 0

x = 4.5/0.25

x = 18

r = 18.

f (0) = s, hence s = 4.5.

Then the value of the product is:

rs = 18 x 4.5 = 81.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

7 0
1 year ago
Peter is writing a number in scientific notation.The number is grater that ten million and less that one hundred million.Which e
OLga [1]

Answer:

M  =  a \times 10^7  where 1 < a ≤ 9

The EXPONENT USED BY PETER is 7 in all the possible cases.

Step-by-step explanation:

Let us assume the needed number is M.

Also, given:

The needed number is GREATER than 10 Million.

⇒ M  > 10 Million

⇒ M > 10,000,000

⇒ M > 1 \times 10^7  ...... (1)

The needed number is SMALLER than 100 Million.

⇒ M  <  100 Million

⇒ M < 100,000,000

⇒ M  <  1 \times 10^8  ...... (2)

Comparing (1) and (2) we can see that M can have more than 7 zeroes after 1 but LESS than 8 zeroes after 1.

So, the possible values of M can be:

M  =  a \times 10^7  where 1 < a ≤ 9

So, the EXPONENT USED BY PETER is 7 in all the possible cases.

5 0
3 years ago
How do you round the area of a circle with 3.14?
kirill115 [55]

Answer:

(This is a example since you don’t have anything to round to)

Example Answer if the radius is 4 - 50.24

Step-by-step explanation:

Example Radius : 4

Area : 3.14

We have the mulitiply 3.14 times The Example Radius 2 times because The diameter of a circle is 2 times its radius.

( 3.14 x 4 x 4) 50.24

If you know the diameter, it’s a half or 1/2 as large.

Therefore, if the radius was 4, it would be 50.24.

Youre welcome :)

7 0
2 years ago
Please helpp!
Kitty [74]

Answer:

it may be B but I think it's C

Step-by-step explanation:

not sure if this is right, but I would say not congruent. it may be sas but in order for it to be sas then the Angle must be in-between the two congruent sides

5 0
2 years ago
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