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Paul [167]
3 years ago
8

Solve forx: x^2 = 5x

Mathematics
1 answer:
Akimi4 [234]3 years ago
4 0

Answer:

x = 5

x = 0

Pulling out like terms :

2.1     Pull out like factors :

  x2 - 5x  =   x • (x - 5)

Equation at the end of step  2  :

 x • (x - 5)  = 0

Step  3  :

Theory - Roots of a product :

3.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation

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Answer:

41.9 %

Step-by-step explanation:

when you look at the to numbers you will see that the two has a 41.9 % difference.

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This is so confusing all of it makes no sense
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Answer:

D). 4\sqrt{2}

Step-by-step explanation:

<u>STEP 1a:</u> Find the last angle of the triangle. ( which is angle A)

A+90+45=180

<u>STEP 1b:</u> Solve the equation for A by adding 90 and 45.

A+135=180

<u>STEP 1c:</u> Then Move all terms not containing A to the right side of the equation by subtracting 135 from both sides of the equation

A=180-135

<u>STEP 1d:</u> Subtract 135 from 180.

A=45

STEP 2a: Find side b next.

STEP 2b: The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(A)=\frac{adj}{hyp}

STEP 2c: Substitute the name of each side into the definition of the cosine function.

cos(A)=\frac{b}{c}

STEP 2d: Set up the equation to solve for the adjacent side, in this case b.

b=c*cos(A)

STEP 2e: Substitute the values of each variable into the formula for cosine.

b=8*cos(45)

STEP 2f: Cancel the common factor of 2.

a=4\sqrt{2}

HOPE THIS HELPS!

4 0
3 years ago
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A box contains 35 gems, of which 10 are real diamonds and 25 are fake diamonds. Gems are randomly taken out of the box, one at a
Sonja [21]

Answer:

Step-by-step explanation:

The total number of ways of selecting 3 gems of any kind without replacement is 35 * 34 * 33 = 39270

Now selecting 2 gems from 25 is 25C2

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Answer:

(-0.5, -1)

Step-by-step explanation:

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x = 1/2 = 0.5

y = (3 + -5)/2

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