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1 year ago

How can I factorise expressions

Mathematics

1 answer:

expeople1 [14]1 year ago

7 0

Answer:

The first step of factorising an expression is to 'take out' any common factors which the terms have. So if you were asked to factorise x² + x, since x goes into both terms, you would write x(x + 1) . This video shows you how to solve a quadratic equation by factoring.

Step-by-step explanation:

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In the standard (x,y) coordinate plane a right triangle has vertices at (-3,4)(3,4)(3,-4) what is the length in coordinates unit

MAXImum [283]

Given:

The vertices of a right triangle are:

$(-3,4),(3,4),(3,-4)$

To find:

The length of the hypotenuse of the given right triangle.

Solution:

Let the vertices of the right triangle are $A(-3,4),B(3,4),C(3,-4)$ .

The distance formula is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, we get

$AB=\sqrt{(3-(-3))^2+(4-4)^2}$

$AB=\sqrt{(3+3)^2+(0)^2}$

$AB=\sqrt{(6)^2+0}$

$AB=\sqrt{36}$

$AB=6$

Similarly,

$BC=\sqrt{(3-3)^2+(-4-4)^2}$

$BC=\sqrt{(0)^2+(-8)^2}$

$BC=\sqrt{64}$

$BC=8$

And,

$AC=\sqrt{(3-(-3))^2+(-4-4)^2}$

$AC=\sqrt{(6)^2+(-8)^2}$

$AC=\sqrt{36+64}$

$AC=\sqrt{100}$

$AC=10$

Now, taking sum of squares of two smaller sides, we get

$AB^2+BC^2=6^2+8^2$

$AB^2+BC^2=36+64$

$AB^2+BC^2=100$

$AB^2+BC^2=AC^2$

By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.

Therefore, the length of the hypotenuse is 10 units.

6 0

2 years ago

Bill earns $12 per hour and works at most 40 hours per week identify the independent and dependent quantity in the situation and

alukav5142 [94]

Independent: number of hours
Dependent: Earned income
Domain: Between and including, 0 and 40 hours
Range: Between and including, 0 and 480$

4 0

2 years ago

How do i turn 24% into a fraction

PolarNik [594]

You can remove the % sign if you divide the number by 100:

$\frac{24}{100}$

This is because % is defined as 1/100, and the name (per-cent) actually meant this originally!
we can also simplify it: let's divide it by 4:

$\frac{6}{25}$

7 0

2 years ago

10 + 2(7 - 9x) = 5(2x - 12)<br><br><br>Full steps as well please

blagie [28]

Answer:

x = 3

Step-by-step explanation:

10 + 2(7 - 9x) = 5(2x - 12)

10 + 14 - 18x = 10x - 60

24 - 18x = 10x - 60

+60 +60

-------------------------------------

84 - 18x = 10x

+18x +18x

-------------------------------------

84 = 28x

/28 /28

--------------------------------------

3 = x

3 0

2 years ago

Read 2 more answers

The outside dimensions of a rectangular cooler WITHOUT its lid is 26 inches by 14 inches, with a height of 16 inches. The cooler

Paha777 [63]

Answer:

3080 square inches

Step-by-step explanation:

I like to draw things out. So I drew this cooler out, with the dimensions of 26x14x16. It the cooler is 2 inches thick, I need to remove 2 inches from each side of the cooler. So I took 4 inches off of the 26 and the 14 so the length and width become 22 and 10 respectively. Then I took 2 inches off the bottom of the cooler so the 16 became 14. This gives me the new dimensions of 14x22x10.

8 0

2 years ago