All categories

3 years ago

Factorise the following algebraic expressions completely a. y4 −81 . x2 +10x +24

Mathematics

1 answer:

Ludmilka [50]3 years ago

3 0

$y^4-81=(y^2-9)(y^2+9)=(y-3)(y+3)(y^2+9)\\\\
x^2 +10x +24 =x^2+10x+25-1=(x+5)^2-1=(x+5-1)(x+5+1)=(x+4)(x+6)$

You might be interested in

Write a mathematical sentence that expresses the information given below . Use t as your variable name.Necessary type <= to m

miskamm [114]

Answer:

t + 8° > 82°

Step-by-step explanation:

Given that :

Let t = temperature when Susanne checks at 11:00

If t rises by 8 more degrees, it will break the record high temperature for that day

Record high temperature for the day = 82 degree

Hence,

Temperature at 11:00 + 8° > record high temperature for the day

t + 8° > 82°

6 0

3 years ago

Find the value of sin H rounded to the nearest hundredth, if necessary.<br> Help please

Travka [436]

Answer:

sinH ≈ 0.47

Step-by-step explanation:

sinH = $\frac{opposite}{hypotenuse}$ = $\frac{IJ}{HJ}$ = $\frac{16}{34}$ ≈ 0.47 ( to the nearest hundredth )

7 0

2 years ago

Condense 2log4 + log3 - log2 + log5

antiseptic1488 [7]

$2\log4 + \log3 -\log2 + \log5= \\ \\ = \log 2^4+ \log3 -\log2 + \log5 = \\ \\ = \log 16+ \log3 -\log2 + \log5 = \\ \\ = \log\Big(16\cdot 3:2\cdot 5\Big) = \log\Big(\dfrac{16\cdot 3\cdot 5}{2}\Big) = \log(8\cdot 3\cdot 5) = \\ \\ =\log120$

3 0

3 years ago

Examine rectangle JKLM, shown below.

IRISSAK [1]

Answer:

NM = 8

Step-by-step explanation:

Given rectangle JKLM

JN = x + 3 and JL = 3x + 1

JN = 1/2JL as diagonals bisect each other and N is the midpoint of JL.

Substitute and solve for x:

x + 3 = 1/2(3x + 1)

2x + 6 = 3x + 1

3x - 2x = 6 - 1

x = 5

Find JN

JN = 5 + 3 = 8

Looking at the options, we see that

NM = JN = 8

Correct option is A

5 0

3 years ago

5 divide 1/6 in simplest form

Savatey [412]

Answer:

Step-by-step explanation:

Attached belw ::

I hope im right!!

6 0

3 years ago

Read 2 more answers