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BabaBlast [244]
3 years ago
9

X² = 35 show your work

Mathematics
1 answer:
crimeas [40]3 years ago
4 0

Answer:

x=±√35

Step-by-step explanation:

Take the square root of both sides of the equation to eliminate the exponent on the left side.

x=±√35

The complete solution is the result of both the positive and negative portions of the solution.

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HELPPP <br> Solve the equation <br> log (2x-3)=2
MaRussiya [10]

Answer:

2.5 or 5/2

Step-by-step explanation:

2x-3=2

2x=5 (both sides plus 3)

x=5/2 or 2.5(divid by 2 on both sides)

8 0
3 years ago
Show work
nika2105 [10]
Let's call the distance from the beach to the playground x.
Let's call the distance from the stand to the parking lot z.
Let's call the base of the biggest triangle in the picture (from the parking lot to the left) y.

Recall the pythagorean theorem: the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.

There are three right triangles we can work with.

Triangle with sides 48, x and z. Here z is the hypotenuse so we get the equation x^{2} + 48^{2} = z^{2}

Triangle with sides 27, x and y. Here y is the hypotenuse so we get 27^{2} + x^{2} = y^{2}

Triangle with sides z, y and (48+27). Here (48+27) is the hypotenuse so we get y^{2} + z^{2} = (27+48)^{2}. That is, y^{2} + z^{2} = 5625

We have 3 equations and 3 unknowns (x, y and z). So let's take the last equation: y^{2} + z^{2} = 5625 and replace z^{2} and y^{2} using expressions that contain an expression in terms of x from the first two equations we came up with.

That gives us: 48^{2} + x^{2} + x^{2} + 27^{2} =5625 which we solve for x as follows:

2 x^{2} + 3033 =5625&#10;2x^{2}  =2592&#10; x^{2} =1296&#10;x=36

Now that we know x we can substitute 36 for x into the equation 48^{2} + x^{2} = z^{2} and solve for z as follows:
48^{2} + 36^{2} = z^{2} &#10;2304+1296=z^{2} &#10;3600=z^{2} &#10;z=60

This means that the distance from the beach to the parking lot is 36 m and the distance from the stand to the parking lot is 60 m.
4 0
3 years ago
Read 2 more answers
Find the square roots.
ahrayia [7]

Step-by-step explanation:

I think the answer would be

=1/31 and 1/31

6 0
3 years ago
Read 2 more answers
An airplane travels 2951 miles in 6.5 hours. what is the speed of the airplane in miles per hour?
Gre4nikov [31]
The speed of the airplane = 2951 / 6.5 = 454 mph
4 0
3 years ago
Y - Circle
Kaylis [27]

Answer:

9cm

Step-by-step explanation:

making perpendicular "A" from center "O"

we get,OA=4cm(half of 8cm)

Now,

In triangle POA,

h^2=p^2+b^2

5^2=4^2+b^2

25=16+b^2

9=b^2

b=3cm

PA=3cm

hence,length of chords=3+3=9cm

6 0
3 years ago
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