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sweet [91]
3 years ago
14

What do I do, please helpor just tell me the answer ​

Mathematics
1 answer:
Ket [755]3 years ago
6 0
You can use quizlet or maybe contact a friend
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How would the expression x^2-4 be rewritten using Difference of Squares?
Anna [14]
<span>a2 – b2 = (a + b)(a – b) or (a – b)(a + b).
This is the 'Difference of Squares' formula we can use to factor the expression.

In order to use the </span><span>'Difference of Squares' formula to factor a binomial, the binomial must contain two perfect squares that are separated by a subtraction symbol.

</span><span>x^2 - 4 fits this, because x^2 and 4 are both perfect squares, and they are separated by a subtraction symbol.
All you do here to factor, is take the square root of each term.

√x^2 = x
√4 = 2

Now that we have our square roots, x and 2, we substitute these numbers into the form (a + b)(a - b).
</span>
<span>(a + b)(a - b)
(x + 2)(x - 2)

Our answer is final </span><span>(x + 2)(x - 2), which can also be written as (x - 2)(x + 2), it doesn't make a difference which order you put it in.

Anyway, Hope this helps!!
Let me know if you need help understanding anything and I'll try to explain as best I can.</span>
3 0
3 years ago
A carpenter wants to cut a board 16 1/2 feet in length into 1 7/8 feet pieces. How many pieces can be cut from the board? The ca
yawa3891 [41]
<h3>Answer:</h3>
  • 8 pieces
  • 3/8 foot
<h3>Explanation:</h3>

a) Let n represent the number of 1 7/8 ft pieces. Then we have ...

... 16 1/2 ft = n × (1 7/8 ft)

We can find n by dividing this equation by 1 7/8.

... (16 1/2)/(1 7/8) = n = (132/8)/(15/8) = 132/15

... n = 8 12/15 = 8 4/5

The integer number of pieces that can be cut is 8 pieces.

b) The length of the left-over piece is 4/5 of the full length of a piece, so is ...

... (4/5) × (15/8 ft) = 12/8 ft

We want to divide this into 4 equal lengths, so each of those lengths will be 1/4 of the length of the left-over:

... (1/4) × (12/8 ft) = 3/8 ft

_____

<em>Comment on arithmetic with fractions</em>

This problem is easier if you <em>convert the mixed numbers to improper fractions</em>. This is done by expressing the integer as a number of fractional parts, then adding the fraction part of the mixed number:

... a + b/c = (a×c/c) + b/c = (ac +b)/c

Division with fractions is taught a couple of different ways. One way you can do it is to "invert and multiply". That is, you multiply the numerator fraction by the reciprocal of the denominator fraction:

... (a/b)/(c/d) = (a/b)×(d/c)

Another way you can do the division is to express each of the numerator and denominator fractions over the same denominator. Then the quotient is the ratio of numerators.

... (a/c)/(b/c) = a/b

This is the method we used here. Effectively, we converted 16 1/2 to 16 4/8 then to (16×8 +4)/8 = 132/8. Then the numerator and denominator fractions both had denominators of 8, so (132/8)/(15/8) = 132/15. This fraction can be reduced by removing a factor of 3 from numerator and denominator to give ...

... 132/15 = 44/5 = 8 4/5

7 0
3 years ago
Help I tried to do the page but I couldn't
ahrayia [7]
Sarah wanted to share her apple with 3 of her friends , but she only had 1/2 of an apple left. What math problem should she write to figure out how to split her apple. Explain your answer.
6 0
3 years ago
Function lis defined by the equation r
Amiraneli [1.4K]

Answer:

Both have the same y-intercept (-9)

Step-by-step explanation:

✔️Function 1, r = ⅝t - 9, is given in the slope-intercept form, y = mx + b.

b = y-intercept = -9

y-intercept for Function 1 = -9

✔️Function 2, using the table given, the y-intercept is the value of r when t = 0.

Thus, r = -9 when t = 0.

y-intercept for Function 2 = -9

✔️Both functions has the same y-intercept. None is greater than the other.

6 0
3 years ago
Find the Equivalent Ratio <br> 3:6 x:3
Ymorist [56]
X= 1.5

Half of 3 is 1.5
8 0
2 years ago
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