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lora16 [44]
3 years ago
12

Which rotation has occured if A (-4,2) moves to A (-2,-4)​

Mathematics
1 answer:
Alja [10]3 years ago
7 0

Answer:

90 degrees counter-clockwise

Step-by-step explanation:

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Solve for x use the completing the square method x^2+6x=5
Mrac [35]

Answer:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

Step-by-step explanation:

x^{2}+6x-5=0

we divide the coefficient of the X by half :

in this case: 6/2 = 3 , then we do the following

The result obtained is raised to square power:  3^2=9

we sum and subtract by 9 to maintain the balance of the equation:

x^{2}+6x+9-9-5=0

we have:

(x+3)^{2}-9-5=0

(x+3)^{2} = 14

lets apply square root on both sides of the equation:

\sqrt{(x+3)^{2}}=\sqrt{14}

we know:

\sqrt{a^{2}} = abs(a)

so we have:

abs(x+3)=\sqrt{14}

from where two solutions are obtained

x_{1} + 3 =\sqrt{14} \\\\x_{2} + 3 =-\sqrt{14}

finally we have:

x_{1} =-3 +\sqrt{14} \\\\x_{2} =-3 -\sqrt{14}

5 0
3 years ago
Read 2 more answers
CAN SOMEONE PLEASE HELP!!! :c thank you in advance!
KiRa [710]
Lines A and B are parallel to each other. Lines B and E are perpendicular to each other. 
4 0
3 years ago
A surveyor in a canyon takes measurements and draws the diagram shown.
Fiesta28 [93]

Answer:

\approx 118.4

Step-by-step explanation:

We know two sides and the angle between the sides, so we can use the Law of Cosines. Recall that the Law of Cosines states that:

c^2=a^2+b^2-2abcos(C), where a and b are the sides and C is the angle in between.

Let's substitute 115 for a, 178 for b, and 41 for Angle C.

Thus:

c^2=115^2+178^2-2(115)(178)cos(41)

c^2=44909-40940cos(41)

c=\sqrt{44909-40940cos(41)}

c \approx 118. 4

5 0
3 years ago
What is the mean weight ___ pounds ?
natulia [17]
It is 84 ibs
Explanation
It’s actually easy if you learn 5 minutes of it
But thats the correct answer
8 0
3 years ago
A trader bought x mangoes at the rate of 4 mangoes for 10 naira, five of the mangoes were bad so he sold the remaining at the ra
Artemon [7]

Answer:

  20

Step-by-step explanation:

The cost of the x mangoes was ...

  c = 10(x/4)

The revenue from the sale of mangoes was ...

  r = 20(x-5)/5

The profit is the difference between revenue and cost:

  10 = r - c = 20(x -5)/5 -10(x/4) = 1.5x -20 . . . . substitute and simplify

  30 = 1.5x . . . . . add 20

  20 = x . . . . . . . .divide by 1.5

The trader bought 20 mangoes.

_____

<em>Check</em>

He paid 20(10/4) = 50 naira. He sold the 15 good mangoes for 20/5(15) = 60 naira, so made a 10 naira profit.

8 0
3 years ago
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