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Irina-Kira [14]
3 years ago
11

Solve the equation by completing the square. 0=4x^2-72x

Mathematics
2 answers:
Butoxors [25]3 years ago
6 0

Answer:

Step-by-step explanation:

First we need to make sure that the leading coefficient is a 1.  Ours is a 4, so we need to factor it out, leaving us with

4(x^2-18x)=0

To complete the square, take half the linear term, square it, then add it to both sides.  But don't forget about that 4 hanging around out front, refusing to be ignored.  Our linear term is 18.  Half of 18 is 9, and 9 squared is 81.  Add 81 into the parenthesis, but what we REALLY added in was 4*81 which is 324:

4(x^2-18x+81)=324

To solve this, we need to get the x terms all by themselves.  So let's divide both sides by 4 to get

x^2-18x+81=81

The process of completing the square created a perfect square binomial on the left.  We will state this binomial now:

(x-9)^2=81

We isolate the x term by taking the square root of both sides:

x - 9 = ±9

From that we have 2 equations:

x - 9 = 9 and x - 9 = -9

Which means that x = 18 or x = 0

Gnom [1K]3 years ago
6 0

Answer:

B

Step-by-step explanation:

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(A/N If you don't know please don't answer. I need this for extra credit)
jolli1 [7]

Answer:

112

Step-by-step explanation:

This is a cyclic quadralterial. A cyclic quadralterial is a quadralterial that is inscribed in a circle where all the point or vertices of the quadralterial touches the circle circumference. Opposite angles in a cyclic quadralterial are supplementary.

Angle R and Angle QPS or P is supplementary since they are opposite angle.

Substitute 68 for R

68 + qps = 180

qps = 112

So the answer is 112

3 0
2 years ago
3, 9, 27, 81, . . . Use inductive reasoning to predict the next term in the sequence.
Alexandra [31]
Each number is multiplied by 3. 3x3=9, 9x3=27, and so forth. the answer is logically 243
5 0
3 years ago
Read 2 more answers
Bring the fraction a/a−4 to a denominator of 16−a^2<br><br> really do appreciate this thx
RSB [31]

Answer:

-a(a+4)/(16 - a²)

Step-by-step explanation:

            a/(a - 4)                  Multiply by (a + 4)/(a + 4)

= a(a + 4)/[(a – 4)(a + 4)]     Multiply the denominatorator terms

= a(a + 4)/(a² - 16)               Multiply by -1/(-1)

= -a(a+4)/(-a² + 16)              Reorder terms in denominator

= -a(a+4)/(16 - a²)

5 0
3 years ago
Pedro grew 4 1/3 inches during a 3 ½ month growth spurt. If his growth spurt continued at the same rate how much did he grow in
borishaifa [10]

4 1/3 divided by 3 1/2.  = 1.23

6 0
3 years ago
Solve for −4.2y+2.1&gt;−2.52
Alchen [17]

Answer:

y < 1.1

Step-by-step explanation:

<u>Step 1:  Subtract 2.1 from both sides </u>

-4.2y + 2.1 - 2.1 > -2.52 - 2.1

<em>-4.2y > -4.62</em>

<em />

<u>Step 2:  Divide both sides by -4.2</u>

-4.2y / -4.2 > -4.62 / -4.2

<u><em>Since you divided by a negative, that flips the sign.</em></u>

<em>y < 1.1 </em>

Answer:  y < 1.1

4 0
3 years ago
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