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aleksandrvk [35]
3 years ago
14

Find the smallest value of $x$ such that $x^2 + 10x + 25 = 8$.

Mathematics
1 answer:
Mashutka [201]3 years ago
3 0

Answer:

-5 -√8  or ≈ -7.83

Step-by-step explanation:

<u>Solving the quadratic equation, to find its roots:</u>

  • x^2 + 10x + 25 = 8           ⇒ The left side is perfect square
  • (x+5)^2=8                         ⇒ Getting square root of both sides
  • x+5 = ± √8                       ⇒ There are 2 roots
  • x = - 5 ± √8

<u>The smallest root is:</u>

  • x= -5 - √8 ≈ -7.83
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Piece made in 32min factory cut the time by 8% then cut time by 5% how long does it take to make the piece now in min
DiKsa [7]

Answer:

27.968 mins

Step-by-step explanation:

1) we need to find 8% of 32:

32*0.08=2.56

so 8% of 32 is 2.56 mins.

we need to subtract 2.56 by 32 since its says the times was cut by 8%

so

32-2.56=29.44

now 5% of 29.44:

29.44*0.05=1.472

1.472 mins

so

29.44-1.472=27.968

Hope this helps!

4 0
3 years ago
Solve:<br> I kept trying but I can’t do it <br> Thank you a lot for you help
scoray [572]

Answer:

5.25

Step-by-step explanation:

15/10=1.5

9*1.5=13.5

13.5-3=10.5

10.5/2=5.25

3 0
3 years ago
Read 2 more answers
How can I find the slope of the line y=5x+4
Helen [10]
The slope is 5 cuz y=mx+b, m referring to the slope and 5 is m in this instance
5 0
3 years ago
Read 2 more answers
Do it for me, please
murzikaleks [220]

(5×28)+(2×23)+(3×3)

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7 0
2 years ago
Your friend brings hot chocolate to school in the cylindrical thermos and drinks from her cylindrical mug shown.
Vesna [10]
Volume=height times area of base
base=circle so area of base=pir^2
ok so solume=height times pi times r^2


1.
thermos, h=10, r=2
therefor
 volume=10pi2^2=
 volume=10pi4=
40pi in^3 is brought to school


2. inside is 4 inches deep
h=4, r=1.5
volume=4pi1.5^2
volume=4pi2.25
volume=9pi
answer is 9pi in^3


3. so find 80% of 9pi
80%=0.8
0.8 times 9pi=7.2pi in^3
each times is 7.2pi in^3


4. ok so this is assuming that you fill the mug to 80% (7.2pi) each time and the remainder is it less or more or equal to half of 7.2pi so

total in thermos=40pi
each pour=7.2pi
40pi-7.2pi-7.2pi-7.2pi-7.2pi-7.2pi=4pi
is 4pi more or less than 7.2pi
7.2pi/2=3.6pi
4pi>3.6pi
it is MORE


1. 40pi in^3
2. 9pi in^3
3. 7.2pi in^3
4. MORE than half
 

4 0
3 years ago
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