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Diano4ka-milaya [45]
3 years ago
12

Factor this expression: mn - 4m - 5n + 20

Mathematics
1 answer:
andrey2020 [161]3 years ago
6 0

Answer:

(m-5) (n-4)

Step-by-step explanation:

mn - 4m - 5n + 20

We will factor by grouping

mn -5n  -4m +20

Factor an n out of the first 2 terms and a -4 out of the last 2 terms

n (m-5) -4(m-5)

Now factor out a m-5

(m-5) (n-4)

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Simplify tan9x-tan5x / 1+tan9xtan5x​
Wittaler [7]

Answer:

The given expressions simplifies to tan (4x).

Step-by-step explanation:

Here, the given expression is : \frac{tan9x - tan5x}{1+ tan9xtan5x}

By TRIGONOMETRIC IDENTITY:

tan (A-B)  = \frac{tanA - tanB}{1+ tanAtanB}

Putting this identity here, and taking A = 9 x, B = 5 x, we get

\frac{tan9x - tan5x}{1+ tan9xtan5x} = tan (9x-5x)

= tan(4x)

Hence, the given expressions simplifies to tan (4x).

5 0
3 years ago
4 in.<br> 5 in.<br> 2 in.<br> 4 in.<br> 5 in.<br> 5 in.
Eddi Din [679]

Answer:

I need to see the whole question but I believe you just add the numbers

6 0
3 years ago
Parallelogram ABCD is shown.<br>​
hichkok12 [17]

Answer:

Step-by-step explanation:

#4 part A= D

#4 part B = 76

Your question only states parrallelogram ABCD is shown, so I assume you only wanted those answers, GL

3 0
2 years ago
Find the probalitywhen a pair of 8-sided fair die is rolled and the sum of the roll is greater than 9
Tresset [83]

Odd Numbers : 1, 3, 5, 7 = 4 numbers

Total numbers on 8-sided die = 8

P(rolling an odd number) = 4/8 = 1/2

Die is defined as ceasing to live, exist, or disappear. An example of this is pulling a plant out of the ground by its roots. An example of death is when a person's heart stops and the brain stops working. stop living; dead out.

Use ``die of'' when someone dies of direct causes. We use ``die of'' when someone died from an indirect cause. "die by" is used when someone dies from something. He died of cancer.

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4 0
1 year ago
if the sum of two numbers is four and the sum of their squares minus three times their product is 76, find the numbers
Sauron [17]

Answer:

Numbers =(6,-2 )

Step-by step explanation:

Given

the sum of two numbers is four and the sum of their squares minus three times their product is 76,

Let the first term =X

Second term will be=4-x

So

X^2+(4-x)^2-3x(4-x)=76

x^2+16+x^2-8x-12x+3x^2=76

5x^2-20x+16=76

5x^2-20x-60=0

5(x^2-4x-12)=0

So x^2-4x-12=0

x^2-(6-2)x-12=0

x^2-6x+2x-12=0

X(x-6)+2(x-6)=0

(X-6)(X+2)=0

X=6,-2

Let X=6 and -2 then numbers will be 6 and (4-6)=-2

6 0
3 years ago
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