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Volgvan
3 years ago
10

Let ​ x^2−12x=61 .​

Mathematics
2 answers:
melisa1 [442]3 years ago
7 0

Answer:

x²-12x+36=97

Step-by-step explanation:

Verified correct with K12 test.

Anuta_ua [19.1K]3 years ago
4 0
The answer for the first blank is 36 and the answer for the second blank is 97.

To complete the square, we first take half of the value of b.  The value of b in this equation is -12; -12/2 = -6.

Next we square the value we just got: (-6)² = 36.

This is what we add to both sides of the equation, giving us:
x²-12x+36=61+36

Combining like terms on the right, we have
x²-12x+36=97
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What is the slope of the line that passes through these two points?​
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Step-by-step explanation:

Use the equation:

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6 0
3 years ago
What is JK? please explain/show your work on how you got your answer​
Travka [436]

Answer:

  • JK = 20 m

Step-by-step explanation:

  • <em>A line segment that connects two midpoints of the sides of a triangle is called a midsegment.</em>
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Point J is midpoint of side HI as HJ = JI

Point K is midpoint of side GI as GK = KI

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JK = 1/2HG as per property of midsegment

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6 0
3 years ago
Read 2 more answers
You have driving lessons every third day in swimming lessons every fifth day today you have both classes how many days will you
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To find the answer, you need to find the LCM of 3 and 5. It's 15, meaning that every 15 days, you will have both lessons on the same day. Have an awesome day! :)
8 0
3 years ago
. A used car dealer says that the mean price of a two-year old sedan (in good condition) is at least $20,500. You suspect this c
Taya2010 [7]

Answer: There is sufficient evidence to reject the dealer's claim that the mean price is at least $20,500

Step-by-step explanation:

given that;

n = 14

mean Ж = 19,850

standard deviation S = 1,084

degree of freedom df = n - 1 = ( 14 -1 ) = 13

H₀ : ц ≥ 20,500

H₁ : ц < 20,500

Now the test statistics

t = (Ж - ц) / ( s/√n)

t = ( 19850 - 20500) / ( 1084/√14)

t = -2.244

we know that our degree of freedom df = 13

from the table, the area under the t-distribution of the left of (t=-2.244) and for (df=13) is 0.0215

so P = 0.0215

significance ∝ = 0.05

we can confidently say that since our p value is less than the significance level, we reject the null hypothesis ( H₀ : ц ≥ 20,500 )

There is sufficient evidence to reject the dealer's claim that the mean price is at least $20,500

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3 years ago
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8 0
3 years ago
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