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nika2105 [10]
3 years ago
14

Add blank to each side of x^2-8x=9

Mathematics
1 answer:
Gekata [30.6K]3 years ago
4 0

Step-by-step explanation:

To complete the square, take half of the second coefficient, square it, then add the result to both sides.

(-8/2)² = (-4)² = 16

x² − 8x + 16 = 9 + 16

Solving:

(x − 4)² = 25

x − 4 = ±5

x = 4 ± 5

x = -1 or 9

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Write the equation of a circle given the center (-4, 4) and raduis r = 5.
Len [333]

Answer:

A) (x+4)^2+(y-4)^2=25

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is the center and r is the radius. If (h,k)\rightarrow(-4,4) and r=5, then:

(x-h)^2+(y-k)^2=r^2\\\\(x-(-4))^2+(y-4)^2=5^2\\\\(x+4)^2+(y-4)^2=25

Therefore, the equation of the circle is (x+4)^2+(y-4)^2=25

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2 years ago
What is 1/10 of 209? Enter your answer in the box as a decimal.
VMariaS [17]

Answer:

20.9

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find the surface area.
denpristay [2]

Step-by-step explanation:

a rectangular prism (like this brick) has the same basic structure as a cube (like a die) : it has 6 sides.

while a die has 6 equal sides, a rectangular prism has 3 pairs of equal sides :

top and bottom

left and right

front and back

all we have to do is calculate the areas of the 6 rectangles and add them up. that's it.

your remember, the area of a rectangle is

length × width

in our case we have

top and bottom : 2.5×11.5 × 2 = 28.75×2 = 57.5 in²

left and right : 2.5×5 × 2 = 12.5×2 = 25 in²

front and back : 11.5×5 × 2 = 57.5×2 = 115 in²

so, the total surface area of the whole block is

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5 0
2 years ago
Last year, liliana earned
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Answer:

$376,528

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3 0
3 years ago
Taka conducts an experiment where he rolls a number cube, with sides labeled from 1 to 6, and then flips a coin. This table show
sweet [91]
The experimental probability is 1/6, and the theoretical probability is 1/4. The theoretical probability is greater than the experimental probability in this trial.-------------------Explanation:
Theoretical probability is the mathematically calculated probability of the circumstances occurring. 
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Since the question asks for the possibility of both happening, multiply those together to find the probability:


The theoretical probability of rolling an even number and then flipping a head is 1/4.
Now we'll focus on Taka's trials.
Experimental probability is the probability that is taken from results of a trial.
Take the results, and see if they match the criteria of rolling an even number and flipping heads.
The results that are bolded fit the criteria:1 H, 4 T, 1 H, 5 T, 2 H, 3 T, 6 T, 2 H, 3 T, 5 T, 3 H, 4 T
Taka managed to roll and flip the coin to fit the criteria 2 times out of 12. Converted into a fraction, it is 2/12. Simplified, the experimental probability is 1/6
7 0
3 years ago
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