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Dafna11 [192]
3 years ago
6

Consider the perfect square trinomial identity:

Mathematics
1 answer:
denis-greek [22]3 years ago
5 0

Answer:

a = x

b = 5

Step-by-step explanation:

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What are the solutions to the quadratic equation (5y + 6)2 = 24? y = StartFraction negative 6 + 2 StartRoot 6 EndRoot Over 5 End
Paladinen [302]

Answer:

there are two solutions:

a) y=\frac{-6+2\sqrt{6} }{5}, and

b) y=\frac{-6-2\sqrt{6} }{5}

Step-by-step explanation:

In the equation: (5y+6)^2=24, since a perfect square with the unknown "y" is isolated on the left of the equal sign, we start by applying the square root on both sides of the equality, and then on isolating the unknown:

(5y+6)^2=24\\\sqrt{(5y+6)^2} =+/-\sqrt{24} \\(5y+6)=+/-\sqrt{6*4} \\(5y+6)=+/-2\sqrt{6}\\5y=-6+/-2\sqrt{6}\\y=\frac{-6+/-2\sqrt{6} }{5}

Therefore there are two solutions:

a) y=\frac{-6+2\sqrt{6} }{5}, and

b) y=\frac{-6-2\sqrt{6} }{5}

10 0
3 years ago
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Which statement is true about the data set?
lisabon 2012 [21]
G is correct.
(12+34+27+27+36+42+15+28+32+47+30):11=30
The mean is 30.
5 0
3 years ago
PLEASE HELP:
zlopas [31]

Answer:

x=3, y=4

Step-by-step explanation:

4 0
3 years ago
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Find the values of the missing arc<br><br> Show step by step !
Olenka [21]

Answer:

arc QS = 95°

Step-by-step explanation:

the inscribed angle QSR is half the measure of its intercepted arc RQ , then

arc RQ = 2 × 95° = 190°

the sum of the arcs in a circle = 360° , then

arc QS = 360° - arc SR - arc RQ = 360° - 75° - 190° = 95°

7 0
2 years ago
If the volume of a box is 1,463,000 cubic millimeters, what is the volume of the box in cubic meters? (1 millimeter = 0.001 mete
Stells [14]

Answer:

The volume of the box would be  0.001463 cubic meters

Step-by-step explanation:

You first have to to do the conversion from cubic milimiters to cubic meters using the rule given. A cubic milimiter is only 1^3 = or 1*1*1. We transform then this rule so it applies for cubic measures.

1 millimeter = 0.001 meter

(1 millimeter)^3 = (0.001 millimeter)^3 (raise to the cubic power)

1 cubic milimiter = (0.001*0.001*0.001) cubic meters= 0.000000001 or 1 * 10^-9 in scientific notation.

Then we us a rule of three as follows

1 cubic millimiter / 1 * 10^-9 cubic meters =1,463,000¨cubic milimiters / x cubic meters

x = 1,463,000*1 * 10^-9= 0.001463 cubic meters

8 0
3 years ago
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