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3 years ago

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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What is the missing number in the series?<br><br> 1, 16, 81, __, 625, 1296

Alinara [238K]

Answer:

256

Step-by-step explanation:

We are given the series

1, 16, 81, __, 625, 1296

The missing number in the sequence is the fourth term

From the above sequence, we know that

1, 4², 9² , __, 25² , 36²

Difference between first term = 4 - 1 = 3

9 - 4 = 5

x - 9 = 7

x = 9 + 7 = 16

Hence, the fourth term = 16²

= 256

6 0

2 years ago

Find the values of x and y

ioda

X= 20 & Y= 70 in right-angled triangle .

What is right angle triangle?

A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees.
The combined angles of the other two are 90 degrees. Perpendicular and the triangle's base make up the sides that the right angle is formed from.
The longest of the three sides, known as the hypotenuse, is the third side.

2X + 140 = 180

2X = 40°

X = 20°

X + Y = 90°

Y = 70°

Learn more about right-angled triangle

brainly.com/question/3770177

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4 0

1 year ago

Carla wants the total weight of the bags to be four pounds. If she can only pick one more bag, which bag weight should she pick?

pychu [463]

Answer:

1/8

Step-by-step explanation:

To find which bag weight Carla needs, the first step is to find the total weight of the bags shown in the line plot.

There are three -pound bags.

There are six -pound bags.

There are four -pound bags.

Multiply the weight and number of each bag to find the total weight of each different weight bag.

Now, add the three totals.

Finally, subtract the total weight from four pounds in order to find which weight Carla needs.

So, Carla should pick one -pound bag of candy to total four pounds.

4 0

2 years ago

What is the distance between (5,10) and (5,2)?

Licemer1 [7]

The distance is 8, since the x co-ordinate stays 5, the y co-ordinate goes from 10 to 2, which is an 8 distance

5 0

3 years ago

Through: (1, 2), parallel to y=-3x - 3

Westkost [7]

The equation of the line that parallel to y = -3 x - 3 and passes

through the point (1 , 2) is y = -3 x + 5

Step-by-step explanation:

The slope-intercept form of an equation of a line is y = m x + c, where

m is the slope of the line and c is the y-intercept

→ Parallel lines have same slopes

→ Parallel lines have different y-intercepts

∵ The equation of a line is y = -3 x - 3

∵ The slope-intercept form of the equation of a line is y = m x + c

∴ m = -3

Let us write the equation of a line that parallel to the line y = -3 x - 3

∵ Parallel lines have same slopes

∵ The slope of the line above = -3

∴ The slope of the line = -3

∴ The equation of the line is y = -3 x + c

To find c substitute x and y in the equation by the coordinates of a

point lies on the line

∵ The line passes through the point (1 , 2)

- substitute x by 1 and y by 2 in the equation

∴ 2 = -3(1) + c

∴ 2 = -3 + c

- Add 3 to both sides

∴ 5 = c

- substitute the value of c in the equation

∴ The equation of the line is y = -3 x + 5

The equation of the line that parallel to y = -3 x - 3 and passes

through the point (1 , 2) is y = -3 x + 5

Learn more:

You can learn more about parallel lines in brainly.com/question/10483199

#Learnwithbrainly

6 0

3 years ago