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Darya [45]
3 years ago
7

What is the answer?! Please help!

Mathematics
1 answer:
Step2247 [10]3 years ago
8 0
The notation "sqrt" is shorthand for "square root"

sqrt(-x+10)-x = 2
sqrt(-x+10) = x+2 ... add x to both sides
-x+10 = (x+2)^2 ... square both sides
-x+10 = x^2+4x+4 ... use FOIL
x^2+5x-6 = 0 ... get everything to one side; combine like terms
(x-1)(x+6) = 0 ... factor
x-1=0 or x+6 = 0 ... zero product property
x = 1 or x = -6  .... solve each sub-equation for x

The possible solutions are x = 1 or x = -6. We need to check each of those solutions

Let's check x = 1
sqrt(-x+10)-x = 2
sqrt(-1+10)-1 = 2
sqrt(9)-1 = 2
3-1 = 2
2 = 2
So x = 1 has been confirmed

Let's check x = -6
sqrt(-x+10)-x = 2
sqrt(-(-6)+10)-(-6) = 2
sqrt(6+10)+6 = 2
sqrt(16)+6 = 2
4+6 = 2
10 = 2
The last equation is false, so x = -6 is extraneous. It's not a true solution

----------------------------------

In summary, the value x = 1 is the only solution

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X power to 11 +101 divisible by x+1 then what is the remainder
emmasim [6.3K]

Answer:

110

Step-by-step explanation:

Let's define P(x) = x^{11} + 101. So when we divide it by 'x+1', we can use Bezout's Theorem which states: that any polynomial(P(X)) divided by another binomial in the form 'x - a', then the remainder will be P(a).

We can use this fact to determine the remainder, because we divided our P(X) by x + 1 which is the same as x - (-1). So we plug in P(-1).

P(-1) = (-1)^11 + 101 = -1 + 101 = 110

6 0
3 years ago
How to solve 4y=x 3x- y=70 using substitution
creativ13 [48]
X = 4y
3x - y = 70

substitute the x in the second equation with the other half of the first equation.

3(4y) - y = 70
12y - y = 70
11y = 70
y = 6.36 repeating, or 6 4/11

now use this to solve first equation
x = 4 (6 4/11)
x = 25.45 repeating

done
7 0
3 years ago
Help I gotta hand my homework in tomorrow
zvonat [6]
Simple...

3*10=5*6

2*8=4*4

21+11=9+23

23+20=2+41

\frac{36}{9} = \frac{12}{3}

30-5=40-15

90-80=20-10

Thus, your answers.
6 0
3 years ago
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Elapsed time is the sum of the time an event starts and the time it ends.<br><br><br> True False
Alex777 [14]

Answer:

True

Step-by-step explanation:

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The highest amount it could be is 2,499 + 899= 3,898 which could be rounded to 3,900
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