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3 years ago

Factorise xy(x-y)+yz(y-z)+zx(z-x)

Mathematics

1 answer:

Masteriza [31]3 years ago

7 0

Expand first:-
yx^2 - xy^2 + zy^2 -yz^2 + xz^2 - zx^2
there is no common factor so we cant factorize this

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In a parallelogram ABCD point K belongs to diagonal BD so that BK:DK=1:4. If the extension of AK meets BC at point E, what is th

olya-2409 [2.1K]

Answer:

$\frac{BE}{EC} =\frac{1}{3}$

Step-by-step explanation:

In the diagram below we have

ABCD is a parallelogram. K is the point on diagonal BD, such that

$\frac{BK}{CK} =\frac{1}{4}$

And AK meets BC at E

now in Δ AKD and Δ BKE

∠AKD =∠BKE ( vertically opposite angles are equal)

since BC ║ AD and BD is transversal

∠ADK = ∠KBE ( alternate interior angles are equal )

By angle angle (AA) similarity theorem

Δ ADK and Δ EBK are similar

so we have

$\frac{AD}{BE} =\frac{DK}{BK}$

$\frac{AD}{BE} =\frac{4}{1}$

$\frac{BC}{BE}=\frac{4}{1}$ ( ABCD is parallelogram so AD=BC)

$\frac{BE+EC}{BE}=\frac{4}{1}$ ( BC= BE+EC)

$\frac{BE}{BE} +\frac{EC}{BE}=\frac{4}{1}$

$1+\frac{EC}{BE}=4$

$\frac{EC}{BE}=3$ ( subtracting 1 from both side )

$\frac{EC}{BE}=\frac{3}{1}$

taking reciprocal both side

$\frac{BE}{EC} =\frac{1}{3}$

8 0

3 years ago

Evaluate the expression 4−(1−4)−2 =

Cloud [144]

Parentheses first. 1-4= -3. 4-3=1. 1-2=-1.

The answer is -1.

3 0

3 years ago

Read 2 more answers

Find the equation of the line that passes through the points : (4 , -1 ) and (0 , -3)

Sergio [31]

Answer:

B. y= 1/2 x - 3

Step-by-step explanation:

base equation: y= mx+ b

slope(m) equation: $\frac{y_{2}-y_{2} }{x_{2} -x_{1} }$

y2= -1 y1= -3

x2= 4 x1= 0

$\frac{-1 - (-3)}{4-0} =\frac{2}{4} = \frac{1}{2}$

y- intercept: -3

found by taking the y from (0,-3)

3 0

3 years ago

Each side of a checkerboard measures<br> 40 cm. What is the length of its<br> diagonal?

Novay_Z [31]

Answer:

no hablo ingles

Step-by-step explanation:

5 0

3 years ago

Can some one help me with this question its hard :( down below ill give brainliest

Elanso [62]

Should be D. (5^2)^2= 5^4 (you multiply them) and 5^4+5^4=5^8

4 0

3 years ago