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nekit [7.7K]
3 years ago
11

Can you solve #7 if ur not in 8th grade or higher you probably won’t understand but if you do your smart:)

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
7 0
The other leg measures 20.5 m.

Since this is a right triangle, we can use the Pythagorean theorem to solve this.  The Pythagorean theorem says that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse, or 

a²+b²=c², where a and b are the legs and c is the hypotenuse.

Plugging in the value of the one known leg and the hypotenuse, we have
32²+b²=38²
32*32 + b² = 38*38
1024 + b² = 1444

Subtract 1024 from both sides:
1024 + b² - 1024 = 1444 - 1024
b² = 420

Take the square root of both sides:
√b² = √420
b ≈ 20.5
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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
F(x) = 6x +1, find f (4c+2)<br> 24c - 13<br> O 18c + 1<br> 240 + 13<br> 240 + 1
postnew [5]

Answer:C 5a^2 +70a +240

Step-by-step explanation:

8 0
3 years ago
Select the correct answer.
dimulka [17.4K]

Answer:

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Step-by-step explanation

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Quiz: Characteristics of Quadratics
kondaur [170]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Max bought 4 liters of fruit punch for a party.he will serve the punch in glasses that will hold 200 milliliters.how many full g
ss7ja [257]
Hello!
.
1 liter is equal to 1000 milliliter.
So,
4 L = 4000 mL
.
Max bought 4 liter or 4000 mL of fruit punch. To know how many glasses full of fruit punch can he serve, you just need to divide the amount of fruit punch he bought by the amount of fruit punch a glass can hold.
4 L / 200 mL
The dividend and the divisor have different unit so we must make them have the same unit.
4000 mL / 200 mL
= 20
.
Therefore, Max can make 20 full glasses of fruit punch for the party.
:)
6 0
3 years ago
Read 2 more answers
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