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Colt1911 [192]
3 years ago
8

QUADRATIC EQUATIONS HELP(no link or im reporting)

Mathematics
1 answer:
mr_godi [17]3 years ago
7 0

Answer:

D

Step-by-step explanation:

Given

x² - 8x +

To complete the square

add ( half the coefficient of the x- term )² to x² - 8x

x² + 2(- 4)x + (- 4)²

= x² - 8x + 16 → D

= (x - 4)² ← perfect square

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How do you solve this math problem-2(x+3y)=18
ss7ja [257]
Greetings!

Solve for <em>x</em>.
-2(x+3y)=18
Distribute the Parenthesis. <em>How?</em> Multiply all of the terms inside the parenthesis by the number outside the parenthesis.
(-2)*x+(-2)*3y=18
-2x-6y=18
Add 6y to both sides.
(-2x-6y)+6y=(18)+6y
-2x=18+6y
Divide both sides by -2.
(-2x)/-2=(18+6y)/-2
The Answer Is:
x=-9-3y
x=-3y-9

Hope this helps.
-Benjamin
7 0
3 years ago
Help me with this 1,2,3. For each sequence, Determine with whether it appears to be arithmetic If it does find a common differen
pshichka [43]

Problem 1

<h3>Answer: Arithmetic, common difference = -4</h3>

-------------------

Explanation:

Pick any term of the sequence, and subtract off the previous term to find that,

  • term2 - term1 = -12 - (-8) = -12 + 8 = -4
  • term3 - term2 = -16 - (-12) = -16 + 12 = -4
  • term4 - term3 = -20 - (-16) = -20 + 16 = -4

Each time we get the same result, so that means we have an arithmetic sequence with common difference -4

This indicates that adding -4 to each term, or subtracting 4 from each term, will generate the next one.

Eg: term2 = term1 - 4 = -8-4 = -12.

==========================================================

Problem 2

<h3>Answer: Arithmetic, common difference = 5</h3>

-------------------

Explanation:

Similar to problem 1, this sequence is also arithmetic because we add on 5 to each term to get the next one

  • -6+5 = -1
  • -1+5 = 4
  • 4+5 = 9

Or you could subtract adjacent terms as done in problem 1, to find that the common difference is 5.

==========================================================

Problem 3

<h3>Answer: Not arithmetic</h3>

-------------------

Explanation:

Unlike the previous two problems, this sequence is not arithmetic.

We can see that

  • term2 - term1 = 12 - 3 = 9
  • term3 - term2 = 48 - 12 = 36

The gaps of 9 and 36 aren't the same. We need the same common difference between any adjacent terms to have an arithmetic sequence.

This sequence is instead geometric because

  • term2/term1 = 12/3 = 4
  • term3/term2 = 48/12 = 4
  • term4/term3 = 192/48 = 4

Each quotient is 4, showing the common ratio is 4. To find the next term, we multiply the current term by 4. So the next term after 192 would be 4*192 = 768, then 4*768 = 3072 is next, and so on.

3 0
3 years ago
I need help on this???
Aliun [14]
Use the geometric mean for right triangles here.  Like this \frac{9}{y}= \frac{y}{7}.  Cross multiply to get y^{2}=63, and y= \sqrt{63}.  That simplifies down to y= \sqrt{9*7}.  Pull out the 9 as a perfect square of 3 and you're left with y=3 \sqrt{7}, first choice above.
4 0
3 years ago
Read 2 more answers
Find the equation of the line that passes through points a and b
Blizzard [7]

Answer:

y - 7 = 2(x - 1)

Step-by-step explanation:

Going from (-3, -1) to (1, 7), x increases by 4 and y by 8.  These numbers are the 'run' and 'rise' of the line, respectively.  Thus, the slope of the red line is m = rise/run = m = 8/4 = 2.

Using the point-slope formula and the point (1, 7), we get:

y - 7 = 2(x - 1)

6 0
2 years ago
Select all the equations that are equivalent to this equation.<br> 1/4 (8X + 56) = 20<br> 56 + 8X = 80<br> 14 = 20 – 8x<br> 2X +
Leya [2.2K]
1/4(8x+56)=20
1/4(8x)+1/4(56)=20
2x+14=20
2x=20-14
2x=6
X=3
3 0
2 years ago
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