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omeli [17]
3 years ago
5

For which equation does it make the most sense to solve by completing the square?

Mathematics
1 answer:
denis-greek [22]3 years ago
7 0
Completing the square is a method used to solve a quadratic equation by changing the shape of the equation so that the left side is a perfect square trinomial.
 The following equation makes more sense to solve it complete squares:
 x² + 20x = 52
 We have then:
 x² + 20x + (10) ^ 2 = 52 + 100
 (x + 10) ² = 152
 Answer:
 
The most sense to solve by completing the square is for:
 
B) x² + 20x = 52
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Divide 800 by the 2:3 ratio
garri49 [273]

Answer:

Ratio 320:480

Step-by-step explanation:

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8 0
2 years ago
a group of astronauts launched a model rocket from a platform. Its flight path is modeled by h= -4t^2+24t+13 where h is the heig
Eddi Din [679]

Answer:

6.5 seconds

Step-by-step explanation:

Keep in mind that when h=0, this is the same height for both when the model rocket takes off and lands, so when the rocket lands, time is positive. Thus:

h=-4t^2+24t+13\\\\0=-4t^2+24t+13\\\\t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\t=\frac{-24\pm\sqrt{24^2-4(-4)(13)}}{2(-4)}\\ \\t=\frac{-24\pm\sqrt{576+208}}{-8}\\\\t=\frac{-24\pm\sqrt{576+208}}{-8}\\\\t=\frac{-24\pm\sqrt{784}}{-8}\\\\t=\frac{-24\pm28}{-8}\\\\t=\frac{-24-28}{-8}\\ \\t=\frac{-52}{-8}\\ \\t=\frac{52}{8}\\\\t=6.5

So, the amount of seconds that the model rocket stayed above the ground since it left the platform is 6.5 seconds

5 0
2 years ago
Read 2 more answers
H=-5 and w=2, work out the value of 4h-3w
olganol [36]
You would simply have to plug in, or substitute, the given values in the equations.

So, H=-5, W=2 and the problem is 4h-3w

To plug them in, your new equation would be 4(-5)-3(2) and simplify. So it becomes -20-6 which = -26. 

And -26 would be your answer.
3 0
3 years ago
Read 2 more answers
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spayn [35]
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8 0
3 years ago
Find the coordinates of the center and the measure of the radius for a circle whose equation is (x-3)^2 + (y-7)^2=2
igomit [66]

Answer:

fourth option

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 3)² + (y - 7)² = 2 ← is in standard form

with centre = (h, k) = (3, 7) and r² = 2 ⇒ r = \sqrt{2}

6 0
3 years ago
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