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Sophie [7]
3 years ago
10

3. Solve the equation using square roots. If the equation has no real solution, write

Mathematics
1 answer:
noname [10]3 years ago
4 0
3) x² - 121 = 0

x² = 121

x' = +√121

x' = 11

_______________

x'' = - √121

x'' = -11

Solution ⇒ S{-11 ; 11 } or (x-11)(x+11)

4) 4x² + 144 = 0

4x² = -144

x² = -144 / 4

x² = -36

x = √-36

No solution ⇒ S = ∅

5) z²+10z+21 = 0

Δ = 10² - 4(1)(21)

Δ = 100 - 84

Δ = 16

x' = (-10+4) / 2 = -6/2 = -3

x'' = (-10-4) / 2 = -14/2 = -7

Solution ⇒ S{ -7 ; -3} or (x+3)(x+7)
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How do you know that the decimal 2\11 repeats without end?
seropon [69]

It doesn't, it ends after 32 digits after 0.

5 0
3 years ago
3. Milo's dog weighs 18.25 pounds. Kristen's dog weighs 2.5 pounds less than Milo's dog. How much does Kristen's dog weigh? (A)
il63 [147K]

Answer:

(B). 15.75

Step-by-step explanation:

If Kristens dog weighs 2.5 pounds less, then you just have to subrtact 2.5 from 18.25

7 0
3 years ago
Read 2 more answers
Endpoint: (9,-10), midpoint: (4,8)
Alika [10]

Answer:

( -1 , 26)

Step-by-step explanation:

So since you need to find the other endpoint, you would follow these steps:

1.) 4 = \frac{9 + x}{2\\}

2.) 8 = 9 + x  ( you just multiplied the 2 to the 4 to get 8)

3.) -1 = x  (just solve it like a regular equation, so just subtract 9 on both sides                  to get rid of it and that leaves you with -1 = x)

You took the x values of both points and put them in the equation.

And its the same for y

1.) 8 = \frac{-10 + y}{2}

2.) 16 = -10 + y

3.) 26 = y   (you added the 10 on both sides because the 10 was negative and that took the 10 out and so it left you with 26 = y)

5 0
3 years ago
Tim Hortons is hiring and offers $200 every week plus $5 per hour. McDonalds offers $300 every week plus $2 per hour. State the
Bogdan [553]

Answer: After working for 33 \frac{1}{3} hours a week

Step-by-step explanation:

     Let us write equations to represent these two places. Let x be hours worked and y be money earned.

   Tim Hortons:

$200 + $5x = y

    McDonalds:

$300 + $2x = y

    Now, to find the conditions of which Tim Hortons is the better employer (on the basis of money earned) we must find the interval that Tim Hortons pays more. This can be found by setting up another equation, or by graphing. I have shown both. <em>See attached for the graph</em>.

$200 + $5x > $300 + $2x

$5x > $100 + $2x

$3x > $100

x > \frac{100}{3}

x > 33.3334

    Tim Hortons is the better employer after an employee has worked for 33 \frac{1}{3} hours a week.

<em>Read more about </em><em>this question</em><em> here:</em>

<em>brainly.com/question/24206551</em>

8 0
2 years ago
Will the difference of two rational numbers be always rational
spayn [35]

Since ad, bc, and bd are integers since integers are closed under the operation of multiplication and ad-bc is an integer since integers are closed under the operation of subtraction, then (ad-bc)/bd is a rational number since it is in the form of 1 integer divided by another and the denominator is not eqaul to 0

7 0
3 years ago
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