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sertanlavr [38]
2 years ago
11

Sail with the equation by completing the square x^2+8x=-3

Mathematics
1 answer:
maxonik [38]2 years ago
5 0

Answer:

The solutions are x=-4(+/-)\sqrt{13}

Step-by-step explanation:

we have

x^{2} +8x=-3

Complete the square. Remember to balance the equation by adding the same constants to each side

x^{2} +8x+16=-3+16

x^{2} +8x+16=13

Rewrite as perfect squares

(x+4)^{2}=13

square root both sides

x+4=(+/-)\sqrt{13}

x=-4(+/-)\sqrt{13}

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Qaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Kipish [7]

Answer:

32.8 miles

Step-by-step explanation:

Amy is driving to Seattle. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.95. See the figure below. Amy has 48 miles remaining after 31 minutes of driving. How many miles will be remaining after 47 minutes of driving?

Answer: The general equation of a line is given as y = mx + c, where m is the slope of the line and c is the intercept on the y axis. Given that the slope is -0.95, substituting in the general equation :

y = -0.95x + c

Amy has 48 miles remaining after 31 minutes of driving, to find c, we substitute y = 48 and x = 31. Therefore:

48 = -0.95(31) + c

c = 48 + 0.95(31)

c = 48 + 29.45

c = 77.45

The equation of the line is

y = -0.95x + 77.45

After 47 minutes of driving, the miles remaining can be gotten by substituting x = 47 and finding y.

y = -0.95(47) + 77.45

y = -44.65 + 77.45

y = 32.8 miles

3 0
3 years ago
A man has 14 coins in his pocket, all of which are dimes and quarters. If the total value of his
S_A_V [24]

Answer:

9 quarters 5 dimes!

Step-by-step explanation:

9x0.25=2.25

5x0.10=0.50

2.25+0.50=2.75

6 0
3 years ago
Find the area of a triangle with a base length of 3 units and a height of 4 units.
eduard
A = 1/2bh
= 1/2(3)(4)
=1/2(12)
=6
The area of the triangle is: B) 6 units. 

Hope this helps!
4 0
3 years ago
Find the missing angle thank you
Maksim231197 [3]
Straight lines will always add up to 180 degrees, so the angle that is missing here is supplementary to the other angle(adds up with the other angle to get 180) so we take 79 away from 180 and get 101 degrees
7 0
3 years ago
Read 2 more answers
Which expression represents triple the sum of y + 2? A.) 3(y + 2) B.) 5y C.) 3y +2 D.) 6
Harlamova29_29 [7]

Answer:

A. 3(y+2)

Step-by-step explanation:

B wouldn't work because it would be safe to assume that it represents the quintuple of the sum.  C also wouldn't work because although the y is tripled, the 2 isn't.  And D wouldn't work because it is only tripling 2.

A should be your answer since you are distributing the number 3 which is the same thing as a triple to get the sum of the answer which is 3y + 6.

3 0
2 years ago
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